FIXED POINT THEOREMS FOR RATIONAL CONTRACTION MAPPING IN CONE b-METRIC SPACES

Print ISSN: 0972-7752

Abstract

In this paper, we prove some fixed point theorems for contraction mappings in cone b-metric spaces. Dass-Gupta [6], Jaggi-Dass [16], Jaggi [17], M.S. Khan [18] and others proved theorems for different spaces using rational function and contraction conditions. Inspiring from above results, we proved theorems in cone b-metric spaces.

Keywords and Phrases

Fixed point, Cone Metric Spaces, Complete Cone Metric Spaces, Cone b-Metric Spaces.

A.M.S. subject classification

47H10, 54H25.

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