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This research is a continuation of a recent paper [16]. In this paper, we utilize Nevanlinna value distribution theory to study some properties of difference polynomial Yn(z) = Σj=1k vjy(z + ηj) ayn(z): [ABSTRACT FROM AUTHOR]

The purpose of this paper is to introduce the generalized viscosity implicit rules of one asymptotically nonexpansive mapping in Hilbert spaces. We obtain some strong convergence theorems under certain assumptions imposed on the parameters. We also apply our main results to solve mixed equilibrium problem in Hilbert spaces. A numerical example is also given to support our main results. The results obtained in this paper improve and extend many recent ones in this field. [ABSTRACT FROM AUTHOR]

In this paper, we discuss the fixed points of mappings satisfying contractive type condition on a closed ball in an ordered complete dislocated quasi G metric space. The notion of dominated mappings is applied to approximate the unique solution of non linear functional equations. An example is given to show the validity of our work. Our results improve/generalize several well known recent and classical results. [ABSTRACT FROM AUTHOR]

In this paper, an uncountable infinite family of nonlinear mappings are investigated. Strong convergence theorems of common solutions are established in a strictly convex and uniformly smooth Banach space which also has the Kadec-Klee property. The results obtained in this paper unify and improve many corresponding results announced recently. [ABSTRACT FROM AUTHOR]

In this paper, we study a nonlinear system of second order ordinary differential equations with nonlocal integral multi-strip coupled boundary conditions. Leray-Schauder alternative criterion, Schauder fixed point theorem and Banach contraction mapping principle are employed to obtain the desired results. Examples are constructed for the illustration of the obtained results. We emphasize that our results are new and enhance the literature on boundary value problems of coupled systems of ordinary differential equations. Several new results appear as special cases of our work. [ABSTRACT FROM AUTHOR]

In this paper, we establish some fixed point theorems for non-self mappings, which solve the problem 1 in [1], satisfying special contractive conditions in complete metric spaces. [ABSTRACT FROM AUTHOR]

In this paper, we present new fixed point theorems for Kannan type Fp-contraction and Kannan type (α η;GFp)-contraction on a closed ball contained in a complete partial metric space. Some comparative examples are constructed to illustrate the significance of these results. Our results provide substantial generalizations and improvements of several well known results existing in the comparable literature. [ABSTRACT FROM AUTHOR]

In this paper, we prove a strong convergence theorem for finding a common solutions of a general system of variational inequalities involving two different inverse-strongly accretive operators and solutions of fixed point problems involving the nonexpansive mapping in a Banach space by using a modified viscosity extragradient method with weak contraction. Moreover, using the above results, we can apply to finding solutions of zeros of accretive operators and the class of k-strictly pseudocontractive mappings. The results presented in this paper extend and improve the corresponding results of Qin et al. [Convergence of an iterative algorithm for systems of variational inequalities and nonexpansive mappings with applications, J. Comput. Appl. Math., 233 (2009), 231-240.], Aoyama et al. [Weak convergence of an iterative sequence for accretive operators in Banach spaces, Fixed Point Theory and Applications, vol. 2006, Article ID 35390, 1-13.], Yao et al. [Modified extragradient methods for a system of variational inequalities in Banach spaces, Acta. Appl. Math., 110(3) (2010), 1211-1224.], Katchang et al. [A viscosity iterative scheme for inverse-strongly accretive operators in Banach spaces, Journal of Computational Analysis and Applications, 12(3) (2010), 678 686.] and many others. [ABSTRACT FROM AUTHOR]

In this paper, we prove a strong convergence theorem for finding a common solutions of a general system of variational inequalities involving two different inverse-strongly accretive operators and solutions of fixed point problems involving the nonexpansive mapping in a Banach space by using a modified viscosity extragradient method with weak contraction. Moreover, using the above results, we can apply to finding solutions of zeros of accretive operators and the class of k-strictly pseudocontractive mappings. The results presented in this paper extend and improve the corresponding results of Qin et al. [Convergence of an iterative algorithm for systems of variational inequalities and nonexpansive mappings with applications, J. Comput. Appl. Math., 233 (2009), 231-240.], Aoyama et al. [Weak convergence of an iterative sequence for accretive operators in Banach spaces, Fixed Point Theory and Applications, vol. 2006, Article ID 35390, 1-13.], Yao et al. [Modified extragradient methods for a system of variational inequalities in Banach spaces, Acta. Appl. Math., 110(3) (2010), 1211-1224.], Katchang et al. [A viscosity iterative scheme for inverse-strongly accretive operators in Banach spaces, Journal of Computational Analysis and Applications, 12(3) (2010), 678-686.] and many others. [ABSTRACT FROM AUTHOR]

In this paper, we prove the existence of fixed points for Kannan contraction, Chat- terjea contraction and Reich contraction in setting of digital metric spaces. These digital con-tractions are the applications of metric fixed point theory contractions. [ABSTRACT FROM AUTHOR]

In this paper, we, motivated by Mihet [2], give the concept of two nonlinear contractions ((φ, ε-λ)-contraction and (f, bn)-contraction) in KM-fuzzy metric spaces, and obtained some fixed point theorems. We answer the open question posed by Mihet in [2, open question 2]. Finally, an example can be used to be exemplify our results. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to introduce and study a class of new two-step viscosity iteration methods for approximating fixed points of set-valued nonexpansive mappings in CAT(0) spaces. Here, the fixed point is unique solution of a variational inequality with a contraction mapping. Further, we prove strong convergence theorem of the two-step viscosity iterations with some general conditions in a complete CAT(0) space. The presented results improve and unify the corresponding results in the literature. [ABSTRACT FROM AUTHOR]

In this paper, we develop some fixed point theorems by using auxiliary functions for maps satisfying a rational type contractive condition in partially ordered S-metric spaces. Conditions for uniqueness of fixed point are also discussed. Our results generalize some existing results in the literature of S-metric spaces. [ABSTRACT FROM AUTHOR]

In this paper, we introduce and solve the following quadratic (ƿ1, ƿ2)-functional inequalities... where ƿ1 and ƿ2 are fixed nonzero complex numbers with... where ƿ1 and ƿ2 are fixed nonzero complex numbers with... Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic (ƿ1; ƿ2)- functional inequalities (0.1) and (0.2) in complex Banach spaces. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the new idea of α-C-class function and establish new fixed point results in a complete metric space. It can be stated that the results that have come into being give substantial generalizations and improvements of several well known results in the existing comparable literature. [ABSTRACT FROM AUTHOR]

In this paper, we study the septendecic functional equation and prove the Hyers-Ulam stability for the septendecic functional equation in matrix normed spaces by using the fixed point technique. [ABSTRACT FROM AUTHOR]

In this paper, we prove the existence of fixed points for Kannan contraction, Chatterjea contraction and Reich contraction in setting of digital metric spaces. These digital con-tractions are the applications of metric fixed point theory contractions. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new concept of p-mean piecewise pseudo almost periodic for a stochastic process and establish a new composition theorem about pseudo almost periodic functions under non-Lipschitz conditions. Using this composition theorem, the analytic semigroup theory and fixed point strategy with stochastic analysis theory, we also study the existence and the global attractiveness for p-mean piecewise pseudo almost periodic mild solutions for impulsive partial neutral stochastic neutral functional differential equations. Moreover, an example is given to illustrate the general theorems. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the new idea of α-C-class function and establish new fixed point results in a complete metric space. It can be stated that the results that have come into being give substantial generalizations and improvements of several well known results in the existing comparable literature. [ABSTRACT FROM AUTHOR]

In this paper, we present some properties of dual partial metric (abbreviation, pmetric) topology and investigate a fixed point result for self mappings in dual pmetric space. This result generalizes Banach contraction principle in a different way than in the known results from the literature. The article includes an example which shows the validity of our result. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to establish some common fixed point theorems for two pairs of self mappings in dislocated metric spaces which generalize, extend, and improve related results in the literature. Some applications of new results are provided. [ABSTRACT FROM AUTHOR]

In this paper, we first introduce several types of Meir-Keeler contractive mappings in the structure of Ms-metric spaces. Then we study some existence and uniqueness fixed point theorems for these types of MKC mappings in Ms-metric spaces via Gupta-Saxena type contraction and other fraction version type contractions. Also, we extend and improve very recent results in fixed point theory. [ABSTRACT FROM AUTHOR]

In this paper, we discuss the existence of a fixed point of a self-mapping T on a Menger PM-space under two constraint inequalities with respect to two partial orders under two kinds of contractive conditions and obtain some new fixed point results. We then present several useful consequences of our main results. We also give examples to show the validity of our main results. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a general iterative algorithm for finding a common element of the set of common fixed points of an finite family of nonexpansive mappings and the set of solutions of class of variational inequalities in uniformly convex and q-uniformly smooth Banach space. We prove that the sequence generated by the iterative algorithm converges strongly to the unique solution of the variational inequality under suitable conditions. Our result improves and extends the recent results announced by many others. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a dualistic contraction of rational type and use it to obtain some new fixed point results in dualistic partial metric spaces for dominating and dominated mappings. These results extend various comparable results existing in literature from set of positive real numbers to set of real numbers. Moreover, we give an example that shows the usefulness and effectiveness of these results among corresponding fixed point theorems established in partial metric spaces (nonnegative real numbers). [ABSTRACT FROM AUTHOR]

In this paper we generalize, complement and improve some recent results on NLC-operators established in Gp-metric spaces. Several examples are given to support our theoretical approach. [ABSTRACT FROM AUTHOR]

The aim of this paper is to establish fixed point results for semi α-dominated multivalued pair of mappings satisfying generalized locally α-ψ-type contractive conditions for a pair of multivalued dominated mappings in complete dislocated quasi metric space. Applications have been given and an example has been constructed to demonstrate the novelty of our results. [ABSTRACT FROM AUTHOR]

In this paper, we propose a new three-step iterative method for a countable family of pseudo-contractive mappings in a real Hilbert space. We also prove the strong convergence of the proposed iterative algorithm under appropriate conditions. [ABSTRACT FROM AUTHOR]

In this paper, we introduce and study a new system of generalized mixed variational inequality problems with nonlinear mappings in Hubert spaces. We prove the existence of the solutions and the convergence of iterative sequences generated by the algorithm for the system. The results presented in this paper are the generalization and improvement of recent results. [ABSTRACT FROM AUTHOR]

In this paper, some convergence theorems of the modified Ishikawa and Mann iterative schemes for asymptotically pseudo-contractive and asymptotically nonexpansive mappings in Banach space are obtained. The results presented in this paper improve and extend the corresponding results in Goebel and Kirk [5], Kirk [6], Liu [7] and Schu [9]. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to present some fixed point theorems for weak α-admissible mappings type in the setting of b-metric spaces. The results greatly optimize and improve some fixed point results in the existing literature. Moreover, we highlight our assertions by utilizing an example. In addition, we use our results to obtain the existence of solution for a class of nonlinear integral equations. [ABSTRACT FROM AUTHOR]

The aim of this paper is to give some new fixed point theorems for contractive type mappings in intuitionistic fuzzy metric spaces. The results presented improve and generalize some well known results in literature. [ABSTRACT FROM AUTHOR]

In this paper, using the concept of C-class fuction, we prove the existence of common fixed point for generalized Zam rescu-type mappings and generalized weakly Zam rescu-type mappings. Our results generalize so many results in the literature. [ABSTRACT FROM AUTHOR]

In this paper, we introduce dualistic contractive mappings and use such mappings to prove some fixed point theorems. The results extend various comparable results existing in the literature. Moreover, we give examples that show the superiority and effectiveness of our results among corresponding fixed point theorems in partial metric spaces. [ABSTRACT FROM AUTHOR]

In this paper, we introduce set-valued quadratic ρ-functional inequalities and prove the Hyers-Ulam stability of the set-valued quadratic ρ-functional inequalities by using the fixed point method. [ABSTRACT FROM AUTHOR]

In this paper, we investigate the existence and uniqueness of coincidence points for two nonlinear operators by generalizing the notion of simulation function introduced by F. Khojasteh et al. [F. Khojasteh, S. Shukla and S. Radenović, Filomat 29 (6), 1189-1194 (2015)]. Our results improve, extend, complement and generalize several existing results in the literature. Also, some examples are provided to illustrate the usability of our results. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the concept of p-mean piecewise pseudo almost periodic for a stochastic process. Also it establish a new composition theorem for such processes. With this new composition theorem and by virtue of the theory of operator semigroups, the stochastic analysis techniques and Leray-Schauder nonlinear alternative, we investigate the existence of p-mean piecewise pseudo almost periodic mild solutions for a class of impulsive partial stochastic differential equations. Finally, an example of impulsive stochastic heat equation is also provided to illustrate our results. [ABSTRACT FROM AUTHOR]

The present paper aims to deal with multivalued version of SP iterative scheme to approximate a common fixed point of three multivalued nonexpansive mappings in a uniformly convex hyperbolic space and obtain strong and Δ-convergence theorems for the SP process. Our results extend some existing results in the contemporary literature. [ABSTRACT FROM AUTHOR]

The main objective of this paper is to introduce and to study fuzzy normed Riesz spaces. By the direct method, we prove the Hyers-Ulam stability of the following lattice preserving functional equation in fuzzy Banach Riesz space N2 (f(τx V ηy) - τ f(x) ⋁ ηf(y),t) ≤ N1(φ(τx ⋀ ηy, τx ⋀ ηy),t) Where (X,N1), (y,N2) are fuzzy normed Riesz space and fuzzy Banach Riesz space, respectively; and φ : X × X → X is a mapping such that φ(x,y)≥(Ƭη)α/2φ(x/τ,y/η) for all τη≤ 1 and α ∊[0,1). [ABSTRACT FROM AUTHOR]

In [36], Park proved the Hyers-Ulam stability of set-valued functional equations by using the direct method. In this paper, we prove the Hyers-Ulam stability of set-valued functional equations by using the fixed point method. [ABSTRACT FROM AUTHOR]

We investigate a new kind of anti-periodic type boundary value problems of sequential fractional differential equation of order q ∊ (2; 3]. We make use of Banach's contraction mapping principle to obtain the uniqueness result while the existence of solutions is established via Krasnoselskii's fixed point theorem and Leray-Schauder nonlinear alternative. The paper concludes with some illustrative examples. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the notion of Suzuki generalized nonexpansive set- valued mappings from traditional Banach spaces to CAT(0) spaces. Moreover we discuss fixed point properties including the existence, Δ-convergence and strong convergence for this kind of mappings in complete CAT(0) spaces. Our results extend the results of B. Nanjaras [12] for the Suzuki generalized nonexpansive single-valued mappings. [ABSTRACT FROM AUTHOR]

A mapping f : X × X → Y is called additive-quadratic if f satisfies the system of equations { f(x + y, z) = f(x, z) + f(y, z), f(x, y + z) + f(x, y - z) = 2f(x, y) + 2f(x, z): In this paper, using the fixed point method, we prove the Hyers-Ulam stability in matrix fuzzy normed spaces associated to the following additive-quadratic functional equation f(x + y, z + w) + f(x + y, z - w) = 2f(x, z) + 2f(x,w) + 2f(y, z) + 2f(y,w) for all x, y, z,w ϵ X. [ABSTRACT FROM AUTHOR]

In this paper, by using the fixed point method, we prove the Hyers-Ulam stability of homomorphisms in non-Archimedean Lie JC*-algebras and derivations on non-Archimedean Lie JC*-algebras associated with the following additive mapping: n∑k=2(k∑i1=2k+1∑i2=i1+1 ... n∑in-k+1=in-k+1)f (n ∑i=1,i≠i1,...,in-k+1 xi -n-k+1 ∑ r=1 xir + f (n∑i=1 xi) = 2n-1f(x1) for a fixed positive integer n with n ≥ 2. [ABSTRACT FROM AUTHOR]

In this paper, using the fixed point method, we investigate the Hyers-Ulam stability of homomor- phisms in non-Archimedean random C*-algebras and non-Archimedean random Lie JC*-algebras and of derivations on non-Archimedean random C*-algebras and non-Archimedean random Lie JC*-algebras related to the generalized Cauchy-Jensen additive functional equation. [ABSTRACT FROM AUTHOR]

In this paper, fixed point and variational inclusion problems are investigated based on a viscosity approximation method. Strong convergence theorems are established without the aid of metric projections in the framework of Hilbert spaces. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the Nielsen fixed point theory in digital images. We also deal with some important properties of the Nielsen number and calculate the Nielsen number of some digital images. We get some new results using digital covering maps and Nielsen number. [ABSTRACT FROM AUTHOR]

In this paper, we recall the notion of intuitionistic fuzzy 2-normed space intro- duced in [1] and using the fixed point method, we investigate the Hyers-Ulam stability of the following functional equation 2f(x + y/2) + f(x-y)/2 + f(y-x/2)=f(x) + f(y) (1) in intuitionistic fuzzy 2-Banach spaces. [ABSTRACT FROM AUTHOR]

In this paper, we prove that the generalized Hyers-Ulam stability of homomorphisms in C*-algebras and Lie C*-algebras and also of derivations on C*-algebras and Lie C*-algebras for an 4-variable additive functional equation. [ABSTRACT FROM AUTHOR]

In this paper, we show that the parametric general nonlinear nonconvex set-valued variational inequality is equivalent to the parametric general Wiener-Hopf equations. We used the equivalence formulation to study the sensitivity analysis for general nonlinear nonconvex set-valued variational inequalities without assuming the differentiability of the given data. [ABSTRACT FROM AUTHOR]