FIXED POINTS IN MENGER SPACE FOR FAINTLY COMPATIBLE, RECIPROCAL CONTINUOUS AND COMPATIBILITY OF TYPE (K) MAPPINGS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 248

Volume : 17 , Issue : 2
DOI:
Author :
Rajesh Shrivastava (Department of Mathematics, Govt. Shyama Prasad Mukherji Science and Commerce College, Bhopal, Madhya Pradesh - 462008, INDIA)
Arihant Jain (School of Studies in Mathematics, Vikram University, Ujjain, Madhya Pradesh - 456010, INDIA)
Archana Yadav (Department of Mathematics, Govt. Shyama Prasad Mukherji Science and Commerce College, Bhopal, Madhya Pradesh - 462008, INDIA)

Abstract

In this paper, the concept of compatibility of type (K) and faintly compatibility in Menger space has been applied to prove a common fixed point theorem for six self-maps which generalizes the result of Jain et al. [3]. We also give examples in support of our result.

Keywords and Phrases

Menger space, Common fixed points, Reciprocal continuous maps, Compatible maps of type (K) and Faintly compatible.

A.M.S. subject classification

Primary 47H10, Secondary 54H25.

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