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

Print ISSN: 0972-7752 | Online ISSN: | Total Downloads : 87

Volume : 13 , Issue : 1
DOI:
Author :
Pawan Kumar (Department of mathematics, Maitreyi College (University of Delhi), New Delhi, INDIA.)
Z.K. Ansari (Department of mathematics, JSS Academy of Technical Education, Noida, INDIA.)
Arun Garg (Department of Mathematics, NIMS University, Jaipur, INDIA.)

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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