FIXED POINT THEOREMS FOR MAPPINGS SATISFYING IMPLICIT RELATION ON TWO COMPLETE AND COMPACT METRIC SPACES

First, the implicit relations were given. A common fixed point theorem was proved for two mappings satisfying implicit relation functions. A further fixed point theorem was proved for mappings satisfying implicit relation functions on two compact metric spaces.

FIXED POINTS ON TWO COMPLETE AND COMPACT METRIC SPACES

By using functions, some related fixed point theorems on two metric spaces are established. These results generalize some theorems of Fisher.

Solving Fractional Differential Equations via Fixed Points of Chatterjea Maps

In this paper,we present the existence and uniqueness of fixed points and common fixed points for Reich and Chatterjea pairs of self-maps in complete metric spaces.Furthermore,we study fixed point theorems for Reich and Chatterjea nonexpansive mappings in a Banach space using the Krasnoselskii-Ishikawa iteration method associated withSλand consider some applications of our results to prove the existence of solutions for nonlinear integral and nonlinear fractional differential equations.We also establish certain interesting examples to illustrate the usability of our results.

The Generalization of Ciric and Caristi Type Fixed Point Theorem

In this paper,we generalize the renowned Ciric and Caristi type fixed point theorem and some corollaries.Then we give an example to illustrate our result is really better than the theorem.