Unique Fixed Point Theorems for Generalized Contractive Mappings in Partial Metric Spaces

Lakshmi Narayan Mishra,Vishnu Narayan Mishra,Shiv Kant Tiwari,Idrees A Khan

doi:10.1155/2015/960827

Abstract

We establish some unique fixed point theorems in complete partial metric spaces for generalized weaklyS-contractive mappings, containing two altering distance functions under certain assumptions. Also, we discuss some examples in support of our main results.

Highlights

Introduction and PreliminariesAn abstract metric space was first introduced and studied by the French mathematician Frechet [1] in 1906
We establish some unique fixed point theorems in complete partial metric spaces for generalized weakly S-contractive mappings, containing two altering distance functions under certain assumptions
The best approximations of functions in locally convex spaces were discussed by Mishra et al [8] and Mishra [9]

Summary

Introduction

Introduction and PreliminariesAn abstract metric space was first introduced and studied by the French mathematician Frechet [1] in 1906. We establish some unique fixed point theorems in complete partial metric spaces for generalized weakly S-contractive mappings, containing two altering distance functions under certain assumptions. After the Matthews [11] historical contribution, several researchers have established some more fixed point theorems in partial metric spaces and discussed its topological properties (see [13,14,15] and references therein).

Results

Conclusion