EXTENSION OF FIXED POINT THEOREMS TYPE $T$-ZAMFIRESCU MAPPING IN CONE METRIC SPACE

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 101

Volume : 8 , Issue : 1
DOI:
Author :
Archana Rajput (Department of Mathematics, Govt. Dr. Shyama Prashad Mukharjee Science and Commerce College, Benazeer, Bhopal, Madhya Pradesh - 462008, INDIA)
S. K. Malhotra (Department of Mathematics, Govt. Dr. Shyama Prashad Mukharjee Science and Commerce College, Benazeer, Bhopal, Madhya Pradesh - 462008, INDIA)

Abstract

The objective of this paper is to obtain sufficient conditions for the existence of fixed point of $T$-Zamfirescu in complete cone metric spaces and we prove fixed point theorem for an extended Kannan and Chatterjea type $T$-contraction mapping in a cone metric space. Our results generalize recent results existing in the literature of $T$-Zamfirescu mappings in cone metric space.

Keywords and Phrases

Cone Metric Space, $T$-Zamfirescu mapping, Cone normed space.

A.M.S. subject classification

47H10, 54H25, 46B25.

.....

Download PDF 101 Click here to Subscribe now