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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 prove the existence of a common fixed point for generalized weakly Zamfirescu-type mappings. Finally, we give an application to our main result in the fractal space which proves the existence of a common attractor for a new kind of deterministic fractal. [ABSTRACT FROM AUTHOR]

In this paper, we obtain some new fixed point theorems for two pairs of weakly compatible mappings in the framework of non-symmeterical quasi metric spaces. Several interesting corollaries are also deduced. The results obtained extend various well known results of the literature in the setting of quasi metric space. We also construct an example to demonstrate the usability of the proved results. [ABSTRACT FROM AUTHOR]

In this paper, some notions are introduced in modular metric spaces. Next some common fixed points are established in ω-orbitally complete modular metric spaces by employing C-class functions that extend and generalize the results of [10, 18]. Finally, for usibility of our results an application is provided to show the existence of solutions for certain system of integral equations. [ABSTRACT FROM AUTHOR]

In this paper, some coincidence and common fixed point theorems are established for two mappings satisfying a nonlinear contractive condition in G-metric spaces, generalizing and extending the work of Rashwan and Saleh [J. Nonlinear Convex Analysis, 7 (2006), 289-297]. We also give some examples to support the usability of our results. Moreover, it is proved that these mappings satisfy property Q. [ABSTRACT FROM AUTHOR]

In this paper, we obtain sufficient conditions for the existence of common fixed points in the framework of ordered b-metric spaces. Our results generalize some recent results in the literature. Also, to illustrate the usability of the results we give an adequate example in which b-metric is not continuous. [ABSTRACT FROM AUTHOR]

In this paper, some notions are introduced in modular metric spaces. Next some common fixed points are established in ω-orbitally complete modular metric spaces by employing C-class functions that extend and generalize the results of [10,18]. Finally, for usibility of our results an application is provided to show the existence of solutions for certain system of integral equations. [ABSTRACT FROM AUTHOR]

In this paper, we prove some coupled coincidence point results for mixed g-monotone mappings in partially ordered metric spaces via new functions. The main results of this paper are generalizations of the main results of Luong and Thuan [ N.V. Luong, N.X. Thuan, Coupled fixed points in partially ordered metric spaces and application, Nonlinear Anal. 74 (2011) 983- 992]. [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]

The main objective of the paper is to state newly fixed point theorems for set-valued mappings in the framework of 0-complete partial metric spaces which speak about a location of a fixed point with respect to an initial value of the set-valued mapping by using some C-class functions. The results proved herein generalize, modify and unify some recent results of the existing literature. As an application, we provide an existence theorem for a coupled elliptic system subject to various two-point boundary conditions. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the concept of a pair (f, h) called upper class of type II and αβ-contractive mappings. We obtain that all the corresponding established results of Hussain et al. [7] are immediately consequences of our main result. Our main result generalizes and modifies several existing results in literature. Also, an example is given to support the main result. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new type of coupled fixed point theorem with C-class functions in partially ordered complete metric space. [ABSTRACT FROM AUTHOR]

In this paper, we shall prove a unique fixed point theorem for generalized (ψ-φ)-weakly contractive mappings satisfying C-class function in the setting of complete metrically convex metric spaces. The result obtain in this paper generalizes the corresponding results of Khan [17], Khan and Imdad [16], Rhoades [22], Alber and Guerre-Delabriere [3] and others. [ABSTRACT FROM AUTHOR]

In this paper, we state and prove common fixed point theorems for four mappings f; g; S and T satisfying a nonlinear contractive condition in ordered metric spaces, where the mappings f and g are dominating and weak annihilators of the mappings T and S respectively. In this regard, we will utilize the notion of C-class function, following the technique of Shatanawi and Postolache [Fixed Point Theory Appl. 2013:271 (2013)]. Also, we introduce an example to support the useability of our results. [ABSTRACT FROM AUTHOR]

In this paper, we use the concept of C-class functions to establish the best proximity point results for a certain class of proximal contractive mappings in S-metric spaces. Our results extend and improve some known results in the literature. We give examples to analyze and support our main results. [ABSTRACT FROM AUTHOR]

In this paper, we consider and generalize recent b-(E.A)-property results in [11] via the concepts of C-class functions in b-metric spaces. A example is given to support the result. [ABSTRACT FROM AUTHOR]

The aim of this paper is to proved some new fixed point theorems for ((F, ψ, φ) -- weak contractions on ordered S-complete Hausdorff uniform spaces. Our results extend existing results in the literature. [ABSTRACT FROM AUTHOR]

Existence of fixed point for C-class functions was first proved by Ansari in 2014. Then, many authors gave interesting results using C-class functions. In this paper, we prove the existence of strong coupled proximity point for generalised cyclic coupled proximal maps. Our result generalises the results of Kadwin and Marudai. [ABSTRACT FROM AUTHOR]

In the present paper, we refine the notion of the partial modular metric defined by Hosseinzadeh and Parvaneh to eliminate the occurrence of discrepancies in the non-zero self-distance and triangular inequality. In support of this, we discuss non-trivial examples. Finally, we prove a common fixed-point theorem for four self-mappings in partial modular metric space and an application to our result; the existence of a solution for a system of Volterra integral equations is discussed. [ABSTRACT FROM AUTHOR]

In this paper, using the context of the new function, some sufficient conditions for the existence of coincidence and common fixed points of maps which satisfy generalized (ψ, φ)-weak contractions are obtained in the context of regular solid cone metric spaces. Our results generalize, extend, unify, enrich and complement many existing results in the literature. An example is given illustrating the use of our obtained results. [ABSTRACT FROM AUTHOR]

This paper introduces two new contractive conditions in the setting of non-Archimedean modular spaces, via a C-class function, an altering distance function, and a control function. A non-Archimedean metric modular is shaped as a parameterized family of classical metrics; therefore, for each value of the parameter, the positivity, the symmetry, the triangle inequality, or the continuity is ensured. The main outcomes provide sufficient conditions for the existence of common fixed points for four mappings. Examples are provided in order to prove the usability of the theoretical approach. Moreover, these examples use a non-Archimedean metric modular, which is not convex, making the study of nonconvex modulars more appealing. [ABSTRACT FROM AUTHOR]

In this paper, we introduce certain α-admissible mappings which are F(ψ,φ)-contractions on M-metric spaces, and we establish some fixed point results. Our results generalize and extend some well-known results on this topic in the literature. [ABSTRACT FROM AUTHOR]