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

Pawan Kumar; Z.K. Ansari; Arun Garg

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.

Volume 13, Issue 1 Pages 111-124 April 30, 2017 170 downloads

Article overview

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 pointCone Metric SpacesComplete Cone Metric SpacesCone b-Metric Spaces.

AMS Subject Classification

47H10, 54H25.

Reference information

How to Cite

Pawan Kumar, Z.K. Ansari, Arun Garg (2017). FIXED POINT THEOREMS FOR RATIONAL CONTRACTION MAPPING IN CONE b-METRIC SPACES. South East Asian Journal of Mathematics and Mathematical Sciences, 13(1), 111-124.

Back to this issue