Fixed point theorems for a generalized almost "Equation missing"-contraction with respect to S in ordered metric spaces

Wutiphol Sintunavarat,Poom Kumam,Jong Kyu Kim

doi:10.1186/1029-242x-2012-263

Abstract

AbstractIn this paper, the existence theorems of fixed points and common fixed points for two weakly increasing mappings satisfying a new condition in ordered metric spaces are proved. Our results extend, generalize and unify most of the fundamental metrical fixed point theorems in the literature.MSC:47H09, 47H10.

Highlights

Introduction and preliminaries The classicalBanach contraction principle is one of the most useful results in nonlinear analysis
The full statement of the Banach contraction principle is given by the following theorem
Berinde [ ] proved some fixed point theorems for almost contractions in complete metric spaces

Summary

Introduction

Introduction and preliminaries The classicalBanach contraction principle is one of the most useful results in nonlinear analysis. Berinde [ ] proved some fixed point theorems for almost contractions in complete metric spaces. They proved a fixed point theorem for such mappings in complete metric spaces.

Results

Conclusion