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The purpose of this paper is to establish convergence and stability of Jungck -modified three-step iterations for three nonself mappings in a Banach space. The results obtained in this paper extend and improve the recent ones announced by Khan et al., Olatinwo, Hussain et al. and many papers. [ABSTRACT FROM AUTHOR]

This work studies a mathematical model involving a dynamic contact between two elasto-viscoplastic piezoelectric bodies with damage. The contact is modeled on a combination of a normal compliance and a normal damped response law associated with friction. We derive a variational formulation of the problem and we prove the existence and uniqueness result of the weak solution. The proof is based on the classical existence and uniqueness result for parabolic inequalities, differential equations and fixed-point arguments. This paper examines a friction problem between two piezoelectric bodies that are elastic- viscoplastic. The study uses both numerical and analytical methods. The contact surface is assumed to have a thin layer of lubricant, and a damped response contact condition is considered. The problem also takes into account electrical and frictional effects. The paper proves the existence of a unique weak solution to the problem by using variational inequalities and a fixed point argument. Additionally, a fully discrete approximation is investigated using the Euler scheme and finite element method for the spatial variable and time derivatives. Error estimates are then calculated, leading to convergence results under certain regularity conditions. [ABSTRACT FROM AUTHOR]

This paper deals with the class S containing functions which are analytic and univalent in the open unit disc U = {z ∈ C: |z| < 1}. Functions f in S are normalized by f(0) = 0 and f′(0) = 1 and has the Taylor series expansion of the form f(z) = z + ∞X n=2 anzn. In this paper we investigate on the subclass of S of close-to-convex functions denoted as Cgα(λ, δ) where function f ∈ Cgα(λ, δ) satisfies Re{eiλ zf′(z) gα(z) } for |λ| < π 2, cos(λ) > δ, 0 ≤ δ < 1, 0 ≤ α ≤ 1 and gα = z (1-αz)2. The aim of the present paper is to find the upper bound of the Fekete-Szego functional |a3 - μa2 2| for the class Cgα(λ, δ). The results obtained in this paper is significant in the sense that it can be used in future research in this field, particularly in solving coefficient inequalities such as the Hankel determinant problems and also the Fekete-Szego problems for other subclasses of univalent functions. [ABSTRACT FROM AUTHOR]

In this paper, using the method of Hicks, we prove some new related fixed point theorems for pair of mappings on two d-complete topological spaces under the suitable conditions. We also derive some related fixed point theorems from our main results. Finally, by using w-continuity, we establish a related fixed point theorem in d-complete Hausdorff topological spaces. [ABSTRACT FROM AUTHOR]

In this paper, in the first part, we will improve and extend the main results 1 and 2 of Mishra et al. [6] in a b-metric space, and in the second and last part, we will improve and extend Theorem 5 and Theorem 6 of Shah [7] in a b-metric-like space, in both sections, we will use our new notion of occasionally weakly biased maps of type (풜). Some illustrative examples are given in order to clarify and support our findings. [ABSTRACT FROM AUTHOR]

In this paper, we establish new iterative methods for the solution of scalar equations by using the decomposition technique given in [16]. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to prove a common fixed point theorem for a pair of mappings satisfying an implicit relation, generalizing the main results from [6], [10], [11], [13] and other papers. [ABSTRACT FROM AUTHOR]

In this paper, unique common fixed point theorems for pairs of subcompatible and reciprocally continuous mappings or compatible and subsequentially continuous mappings are obtained. This unique common fixed point is guaranteed under a new concept named a weak altering distance function. Our theorems improve some results especially the ones of [2]. [ABSTRACT FROM AUTHOR]

The aim of this paper is to generalize the convexity preserving properties of sets by direct and inverse images initially stated for set-valued ratios of affine functions to a broader class of fractional type set-valued functions which strictly includes the first one. [ABSTRACT FROM AUTHOR]

In this paper, we prove a new coincidence and common fixed point theorem of hybrid mappings using the C-class function and T-weak commutativity. Finally, we give an example to illustrate our result. [ABSTRACT FROM AUTHOR]

In this paper, we determine properties of the coefficients of the integral operator Gα1,α2,...,αn,β. We want to see if some results obtained on the interior unit disk can be extended on the exterior unit disk, so we make use of the usual transformation g(z) = .... [ABSTRACT FROM AUTHOR]

In 2013, Azadifar et al. [3] established fixed point result in integral type contraction in modular metric space and 2020, Chaira et al.[11] established some extensions of Fixed Point Theorems for Weak-Contraction Mapping in Partially Ordered Modular Metric Spaces. In this paper we have established some common fixed point results in integral type contractions in modular and convex modular metric spaces. [ABSTRACT FROM AUTHOR]

In this paper, we suggest and analyze a new approximation schemes (3) to solve the extended general variational inequalities (2), which were introduced by Muhammad Aslam Noor (see[7, 9]). Using the projection operator technique, we establish the equivalence between the extended general variational inequalities and the fixed-point problem. This equivalent formulation is used to discuss the existence of a solution of the extended general variational inequalities. Several special cases are also discussed. [ABSTRACT FROM AUTHOR]

In this paper we introduce a novel extension of generalized Bézier operators by replacing the sample values f (k/n) with the wavelet expansion of the function f. Using the compactly supported Daubechies wavelets, we construct a wavelet type extension of the generalized B'ezier operators defined by Gupta [7]. Moreover, we investigate some properties of these operators in some function spaces. [ABSTRACT FROM AUTHOR]

In this paper, the authors established a new identity for differentiable functions, afterward, they obtained some new general inequalities for functions whose first derivatives in absolute value at certain powers are h-convex by using the identity. On the other hand, a general inequality is studied, which gives Hermite-Hadamard, Bullen and Simpson inequalities. Also, they gave some applications for special means for arbitrary positive numbers. [ABSTRACT FROM AUTHOR]

This paper consists of Hankel results of ω-order reversing partial contraction as a semigroup of linear operator. Spectral mapping theorem was investigated and it was established that ω-order reversing partial contraction mapping is an eventually uniform continuous semigroup in which we showed that the proof of the extension of T(t) to a C0-semigroup ˆ T(t) on a space ˆX containing X isometrically bounded. The space is constructed in such a way that the spectrum of the generator A of T(t) coincides with the spectrum of the generator Aˆ of Tˆ(t) and the approximate point spectrum of A coincides with the point spectrum of Aˆ. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new class of generalized convex functions called (h, r)-preinvex functions, and establish some new Hermite-Hadamard type inequalities under (h, r)-preinvexity. [ABSTRACT FROM AUTHOR]

Indulal and Balakrishnan (2016) have put forward the Indu-Bala product and based on this product four new operations are defined by the authors of this manuscript in the paper \Four new operations of graphs based on Indu-Bala product and the Zagreb indices". In this paper we establish explicit formulas of the forgotten topological index and reduced second Zagreb index in connection with these new operations of graphs. [ABSTRACT FROM AUTHOR]

The main objective of this paper is to estimate non-parametrically the quantiles of a conditional distribution based on the single-index model in the censorship model when the sample is considered as an independent and identically distributed (i.i.d.) random variables. First of all, a kernel type estimator for the conditional cumulative distribution function (cond-cdf) is introduced. Afterwards, we give an estimation of the quantiles by inverting this estimated cond-cdf, the asymptotic properties are stated when the observations are linked with a single-index structure. Simulation study is also presented to illustrate the validity and finite sample performance of the considered estimator. Finally, the estimation of the functional index via the pseudo-maximum likelihood method is discussed, but not tackled. [ABSTRACT FROM AUTHOR]

In this paper we obtain the sharp Bohr radius, Bohr-Rogosinski radius, improved Bohr-radius and refined Bohr radius for the functions in the class G0/H (γ) of Goodman-Ronning type harmonic univalent functions with negative coeffcients. [ABSTRACT FROM AUTHOR]

In this paper, we introduce and study a new class k - eUSs(a, c, μ, γ, t) of analytic functions in the open unit disc U with negative coefficients and obtain coefficient estimates, neighborhoods and partial sums for functions f belonging to this class. [ABSTRACT FROM AUTHOR]

In this paper, we consider new subclasses TSn(μ, a, b, ℓ, τ, γ) and TRn(μ, a, b, ℓ, τ, γ) of analytic univalent functions defined by Erdelyi-Kober integral operator. We obtain coefficient inequalities, inclusion relationships involving the (n, δ)-neighborhoods, partial sums and integral mean inequalities for the functions that belongs to these classes. Also, subordinating factor sequence for the functions in the classes Sn(μ, a, b, ℓ, τ, γ) and Rn(μ, a, b, ℓ, τ, γ) are derived. [ABSTRACT FROM AUTHOR]

In this paper we establish some natural consequences of the Wirtinger integral inequality. Applications related to the trapezoid unweighted and weighted inequalities, of Fej'er's inequality for convex functions and of Gr¨uss' type inequalities are also provided. [ABSTRACT FROM AUTHOR]

This paper is dealing with a class of operators fixing exponential functions. We study its convergence and an asymptotic formula is obtained. Finally, a comparison is stated, that shows that in a certain particular cases the new sequence approximates better than the classical ones. [ABSTRACT FROM AUTHOR]

The main purpose of this paper is to establish some common fixed point theorems for single and set-valued mappings, under strict contractive conditions with no continuity, no completeness, no inclusions and without using neither compactness nor closeness. These theorems improve the results of Fisher [8], Ahmed [1] and [2], and others. Also, common fixed point theorems for two hybrid pairs satisfying a contractive condition of integral type are given improving the results of [3], [4] and [6]. [ABSTRACT FROM AUTHOR]

In this paper, we consider the ruled surfaces obtained the lightlike curve in the 2-dimensional lightlike cone according to the frame given in [7]. We obtain necessary and sufficient conditions for the ruled surfaces to be minimal and to have a harmonic Gauss map. Then we see that the ruled surface is minimal if and only if it has a harmonic Gauss map. [ABSTRACT FROM AUTHOR]

In this paper we obtain some bounds in terms of polynomials for the function sinx/x, x ∊ [0; π]. [ABSTRACT FROM AUTHOR]

In this paper, we study a class of univalent functions f as defined by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator, satisfying .... A necessary and sufficient condition for a function to be in the class Aλ,µ,ν γ(n, β) (n; fi) is obtained. Also, our paper includes linear combination, integral operators and we introduce the subclass Aλ,µ,ν γ(n, β) ;cm (1; fi) consisting of functions with negative and fixed finitely many coefficients. We study some interesting properties of Aλ,µ,ν γ(n, β) ;cm (1; fi). [ABSTRACT FROM AUTHOR]

Assume that f and g are continuous on γ, γ ⊂ 𝔺 is a piecewise smooth path parametrized by z (t), t ∈ [a, b] from z (a) = u to z (b) = w with w ≠ u and the complex Čebyšev functional is defined by Dγ(f,g):=1w-u∫γf(z)g(z)dz-1w-u∫γf(z)dz1w-u∫γg(z)dz. In this paper we establish some Grüss type inequalities for 𝒟 (f, g) under some complex boundedness conditions for the functions f and g. [ABSTRACT FROM AUTHOR]

This paper is concerned with certain subclasses of univalent and bi-univalent functions related to shell-like curves connected with Fibonacci numbers. We find estimates of the initial coefficients ja2j and ja3j for the functions in these classes. Also we investigate upper bounds for the Fekete-Szego functional and second Hankel determinant for these classes. [ABSTRACT FROM AUTHOR]

V. Gupta introduced recently the Rathore type operators Rn,c. For them we obtain Voronovskaja type results. We extend the classical Szász-Mirakjan operator and compare the extension with Rn,c. [ABSTRACT FROM AUTHOR]

This paper mainly dedicated on overview of zero sets in Ideal topological spaces. We also introduce a new class of functions which generalizes the class of continuous functions and investigate its position in the hierarchy of continuous functions on Ideal topological spaces. Moreover, these new sets (zero*-I-set) which is a pragmatic approach to characterize completely Hausdorff spaces. [ABSTRACT FROM AUTHOR]

In this paper, we find accordance of some classical inequalities and fractional dynamic inequalities. We find inequalities such as Radon's inequality, Bergstrom's inequality, Rogers-Holder's inequality, Cauchy-Schwarz's inequality, the weighted power mean inequality and Schlomilch's inequality in generalized and extended form by using the Riemann-Liouville fractional integrals on time scales. [ABSTRACT FROM AUTHOR]

In this paper we introduce a new class of meromorphic multivalent functions Σ*p(k, α, β) with positive coefficients. The main object of the present paper is to prove some properties for functions belonging to the class Σ*p(k, α, β). [ABSTRACT FROM AUTHOR]

In this paper, for a semi-infinite optimization Problem (P), second order - approximated optimization problems (P0,2), (P2,0), (P1,2), (P2,1) and (P2,2) are constructed. Some connections are established between the optimal solutions of these problems and optimal solutions of the original Problem (P). [ABSTRACT FROM AUTHOR]

In this paper, some common fixed point theorems for pairs of subcompatible and reciprocally continuous mappings or compatible and subsequentially continuous mappings satisfying integral type are obtained. Our results improve several results especially the results of [3], Pathak et al. [13], Djoudi and Aliouche [6], Mbarki [10] and others. [ABSTRACT FROM AUTHOR]

In this paper we introduce a new subclass Mn(p, α, β) of meromorphically p-valent functions with positive coefficients in U* = {z : z ϵ C and 0 < ∣z∣ < 1} by using a linear operator Dn. The main object of this paper is to investigate the various important properties and characteristics of the class Mn(p, α, β). We also derive many results for the Hadamard products of functions belonging to the class Mn(p, α, β). [ABSTRACT FROM AUTHOR]

In this paper we improve some inequalities obtained in [1]. [ABSTRACT FROM AUTHOR]

In this paper we extend the notion of subordination from the geometric theory of analytic functions of one complex variable to the fuzzy sets theory. The purpose of this paper is to define the notion of fuzzy subordination and to prove the main properties of this notion. We also introduce the principle of fuzzy subordination and give examples to show when the classical notion of subordination and the notion of fuzzy subordination coincide. [ABSTRACT FROM AUTHOR]

Let f : I → R, x1,…, xn distinct points in I and λI, …,λn ϵ (0, ∞). In the present paper, we write "Multiple line equation(s) cannot be represented in ASCII text" in terms of divided differences on three distinct nodes. This leads to refinements of Jensen-type inequalities. [ABSTRACT FROM AUTHOR]

One of the most important tool in establishing existence or uniqueness theorems for integral equations in the classical Banach's contraction mapping principle or some of its generalizations. In this paper we shall illustrate how one can establish existence results and approximate the solutions of certain integral equations in the case when the contraction mapping principle does not apply, but we are able to use instead the technique oimations f nonexpansive mappings. [ABSTRACT FROM AUTHOR]

In this paper, is defined the operator Dλ,ν,nα,β : A → A, given by Dλ,ν,nα,β f(z) = (1 - α - β)RνDnf(z) + αRνΩλzf(z) + βDnΩλzf(z), for z ∈ U, where Rν is the Ruscheweyh derivative, Dn is the Sălăgean operator, Ωλz is a fractional differintegral operator introduced by S. Owa and H. M. Srivastava, A = {f ∈ H(U) : f(z) = z + a2z² + a3z³ + ..., z ∈ U}, α, β ≥ 0, ν > -1, n ∈ N0 = {0, 1, 2, 3, ...}, -∞ < λ < 2. A certain subclass of analytic functions in the open unit disk, Rλ,ν,nα,β (δ), where 0 ≤ δ ≤ 1, is introduced using the new operator. Are obtained some properties of the class Rλ,ν,nα,β (δ) and some differential subordinations using the operator Dλ,ν,nα,β. [ABSTRACT FROM AUTHOR]

In this paper we present a result on non-existence of global solutions to the nonlinear Cauchy problem for the higher-order hyperbolic equation utt - ∆|u|m + ∆²u - ∆ut = |u|p, x ∈ RN, t ∈ (0, T), 0 < T < +∞, with the initial conditions u(x, 0) = u0(x), ut(x, 0) = u1(x), x ∈ RN, where m ≥ 1, p > 1. The method used is the test function method which is based on a duality argument with an appropriate choice of the test function and a scaling argument. [ABSTRACT FROM AUTHOR]

In this paper we study the Young's inequality for the Sugeno integral. Indeed we investigate the integral inequality ... in fuzzy version, where f is a continuous and increasing function on [0, c] (c > 0), a ∈ [0, c], b ∈ [0, f(c)] and f-1 stands for the inverse function of f. Some relevant counterexamples are indicated. Finally we derive a new inequality for the classical Young's inequality in fuzzy version. [ABSTRACT FROM AUTHOR]

The paper contains the equivalence of two moduli of smoothness with a corresponding generalized K-functional of order two. Also estimates of the degree of approximation of functions by using general positive linear operators in terms of this K-functional are given. [ABSTRACT FROM AUTHOR]

Modal logic is an extension of the logic of predicates and propositions which includes operators that express modality. In modal logic we deal with truth and falsehood in different possible worlds, as well as in the real world. In this paper we construct a labeled graph associated to a transition system, as a starting point in analyzing modal logics. We define the concepts of inclusion, isomorphism, "modal equivalence" and equivalence between graphs. [ABSTRACT FROM AUTHOR]

In this paper we establish some new general integral inequalities for twice differentiable functions. Then we apply these inequalities to obtain some inequalities for special means of real numbers. Finally, some new general quadrature rules of trapezoidal type are provided. [ABSTRACT FROM AUTHOR]

In this paper we formulate the dual variational principle for a problem of stationary flow of a viscous fluid in a pipe with transversal section in the L-form represented by a second elliptic equation with Dirichlet boundary conditions. [ABSTRACT FROM AUTHOR]

In this paper, we prove that Bernstein type Cheney and Sharma operators preserve modulus of continuity and Lipschitz continuity properties of the attached function f. We also introduce a result for these operators when f is a convex function. [ABSTRACT FROM AUTHOR]

In this paper we give a new generalized and sharpend version of Aczél- Popoviciu inequality via positive and homogeneous functionals. [ABSTRACT FROM AUTHOR]