Fixed Point and Common Fixed Point Theorems for Generalized WeakContraction Mappings of Integral Type in Modular Spaces

Chirasak Mongkolkeha,Poom Kumam

doi:10.1155/2011/705943

Abstract

We prove new fixed point and common fixed point theorems for generalized weak contractive mappings of integral type in modular spaces. Our results extend and generalize the results of A. Razani and R. Moradi (2009) and M. Beygmohammadi and A. Razani (2010).

Highlights

We prove new fixed point and common fixed point theorems for generalized weak contractive mappings of integral type in modular spaces
In 1997 Alber and GuerreDelabriere 7 introduced the concept of weak contraction in Hilbert spaces, and Rhoades 8 has showed that the result by Akber et al is valid in complete metric spaces A mapping T : X → X is said to be weakly contractive if d T x, T y ≤ d x, y − φ d x, y, 1.2
In 2009, Razani and Moradi 23 studied fixed point theorems for ρ-compatible maps of integral type in modular spaces

Summary

Chirasak Mongkolkeha and Poom Kumam

We prove new fixed point and common fixed point theorems for generalized weak contractive mappings of integral type in modular spaces. Our results extend and generalize the results of A.

Introduction

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