COUPLED FIXED POINT THEOREMS FOR RATIONAL TYPE CONTRACTIONS VIA C-CLASS FUNCTIONS
Authors
Abstract:
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.
similar resources
Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions
In this paper, we present some fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions belonging to $C$-class and $A$-class. At the same time, we will consider two different type $M$ functions in contractive conditions because the qu...
full textApproximate fixed point theorems for Geraghty-contractions
The purpose of this paper is to obtain necessary and suffcient conditionsfor existence approximate fixed point on Geraghty-contraction. In this paper,denitions of approximate -pair fixed point for two maps Tα , Sα and theirdiameters are given in a metric space.
full textSome fixed point theorems for $C$-class functions in $b$-metric spaces
In this paper, via $C$-class functions, as a new class of functions, a fixed theorem in complete $b$-metric spaces is presented. Moreover, we study some results, which are direct consequences of the main results. In addition, as an application, the existence of a solution of an integral equation is given.
full textA New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized $Psi$-simulation Functions
In this paper, a new stratification of mappings, which is called $Psi$-simulation functions, is introduced to enhance the study of the Suzuki type weak-contractions. Some well-known results in weak-contractions fixed point theory are generalized by our researches. The methods have been appeared in proving the main results are new and different from the usual methods. Some suitable examples ar...
full text$C$-class functions on common fixed point theorems for weak contraction mapping of integral type in modular spaces
In this paper, we use the concept of $C$-class functions introduced by Ansari [4] to prove the existence and uniqueness of common fixed point for self-mappings in modular spaces of integral inequality. Our results extended and generalized previous known results in this direction.
full textMy Resources
Journal title
volume 10 issue 1
pages 77- 98
publication date 2019-11-01
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023