C-class Functions Research Articles

Common fixed point result for generalized α*- ψ-contraction for C-class functions in b-metric spaces

In this paper, we prove common fixed point theorems for α∗-ψ-contraction in b-metric spaces, which generalizes the result of S. Aleksic et al [Remarks on common fixed point results for generalized α∗-ψ-contraction multivalued mappings in b-metric spaces ,Adv. Fixed Point Theory, 9 (2019), No. 1, 1-16] using the concept of C class function in b-in metric spaces. An example is given to support our results.

Common Fixed Point Theorems Involving C-class Functions in Partial Metric Spaces,

Common Fixed Point Theorems Involving C-class Functions in Partial Metric Spaces,

C-class and pair upper class functions and other kind of contractions in fixed point theory

In 2014 was introduced C-class and pair upper Class functions that cover more papers before and after that .base on them some other ideas like :1-1-upclass functions, multiplicative C-class functions, inverse-C-class functions,CF-simulation functions were planed. In this glance we look for some condition that can use them or can not.

Maia type fixed point results via C-class function

Abstract In 1968, M. G. Maia [16] generalized Banach’s fixed point theorem for a set X endowed with two metrics. In 2014, Ansari [2]introduced the concept of C-class functions and generalized many fixed point theorems in the literature. In this paper, we prove some Maia’s type fixed point results via C-class function in the setting of two metrics space endowed with a binary relation. Our results, generalized and extended many existing fixed point theorems, for generalized contractive and quasi-contractive mappings, in a metric space endowed with binary relation.

Fixed Point Theorem With C-Class Functions in Partial Metric Spaces

Fixed Point Theorem With C-Class Functions in Partial Metric Spaces

Common Fixed Point Theorems for Four Self-Maps Satisfying (CLRST )- Property in b-Metric Spaces

In this paper, we prove coincidence point for two pair of mappings satisfying (CLRST )- property with the help C-class function, altering distance function and ultra altering distance function in the framework of b-metric spaces. Moreover, we also attain unique common fixed point for two weakly compatible pairs. Various results can also be derived from our main result in the frame of metric spaces.

A different approach to complex valued G_{b}-metric spaces

In this work, we introduce a generalized fixed point theorem using a complex C-class function as a new tool in complex valued G_{b}-metric spaces. Moreover, we define alpha -(F,psi ,varphi )-contractive type and α-admissible mapping. Then we prove a fixed point theorem using these notions and the complex C-class function. The obtained results generalize some facts in the literature.

Some fixed point theorems in an intuitionistic Menger space via C ‐class and inverse C ‐class functions

In this article, we established some common fixed point theorems for two pairs of self-mappings by using the notion of weakly subsequential continuous maps with compatibility of type (E) in an intuitionistic Menger space (briefly IM space) via C-class and inverse C-class functions.

Common Fixed Points Results on Non-Archimedean Metric Modular Spaces

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.

COUPLED FIXED POINT THEOREMS FOR RATIONAL TYPE CONTRACTIONS VIA C-CLASS FUNCTIONS

In this paper, by using C-class functions, we will present a coupled xed problem in b-metric space for the single-valued operators satisfying a generalized contraction condition. First part of the paper is related to some xed point theorems, the second part presents the uniqueness and existence for the solution of the coupled xed point problem and in the third part we discuss data dependence, well-posedness, Ulam-Hyers stability and limit shadowing property of the coupled xed point set.

C-class functions in generalized metric spaces and applications

Some coincidence and common fixed points are established in G-metric spaces via C-class functions covering an extensive class of contractive conditions. Our outcomes do not rely on the completeness of space/subspace, the continuity or the containment of range space of included tangential pair of single valued mappings. Some interesting examples are furnished and the solutions of initial value problems are given to demonstrate the usability of results acquired.

SOME COMMON FIXED POINT RESULTS FOR RATIONAL CONTRACTION TYPE VIA THE C-CLASS FUNCTIONS ON METRIC SPACES

The purpose of this paper is to prove some common fixed point results for rational contraction type via the C-class functions on metric spaces. As an application, we study the existence of solutions to the system of nonlinear integral equations.

PPF dependent fixed points of generalized contractive type mappings using C-class functions with an application

PPF dependent fixed points of generalized contractive type mappings using C-class functions with an application

(C , Ψ * , G ) Class of Contractions and Fixed Points in a Metric Space Endowed with a Graph

In this paper, we introduce the ( C , Ψ * , G ) class of contraction mappings using C-class functions and some improved control functions for a pair of set valued mappings as well as a pair of single-valued mappings, and prove common fixed point theorems for such mappings in a metric space endowed with a graph. Our results unify and generalize many important fixed point results existing in literature. As an application of our main result, we have derived fixed point theorems for a pair of α -admissible set valued mappings in a metric space.

Best Proximity Point Theorems of C-class Functions in Regular Cone Metric Spaces

Best Proximity Point Theorems of C-class Functions in Regular Cone Metric Spaces

$$\varvec{C}^{\varvec{*}}$$ C ∗ -algebra-valued partial metric space and fixed point theorems

In this paper, we introduce the notion of \(C^*\)-algebra-valued partial metric space which is more general than partial metric space. Some fixed point results using C-class functions on such spaces are obtained. Moreover, some illustrated examples are also provided.

C-class functions on some coupled fixed point theorems in partially ordered S-metric spaces

In this paper, we prove fixed point results employing mixed weakly monotone maps, C-class functions and altering distance function in the framework of S-metric space. Here, integral application has additionally been given.

Bhaskar-Guo-Lakshmikantam-Ćirić type results via new functions with applications to integral equations

In this paper, by using the C-class functions, we present some coupled coincidence point results for a pair of mappings satisfying generalized (ϕ, ψ)-weakly contractive condition in the context of ordered b-metric spaces. Also, an application to study the existence of solutions for the nonlinear integral equations and example are given to support our theoretical results.

Common fixed point theorems for a class of (s, q)-contractive mappings in b-metric-like spaces and applications to integral equations

Abstract In this paper, we establish fixed point theorems for one and two selfmaps in b-metric-like spaces, using (s, q)-contractive and F-(ψ, φ, s, q)-contractive conditions, defined by means of altering distances and 𝓒-class functions. Our theorems unify, extend and generalize corresponding results in the literature.

Fixed point results for weak S-contractions via C-class functions

In this paper, we prove some fixed point results for weak S-contraction mappings in partially ordered 2-metric spaces via C-class function. Our results are different and more general to the usual methods in the literature.