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

Rajesh Shrivastava; Arihant Jain; Archana Yadav

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

Volume 17, Issue 2 Pages 107-122 August 30, 2021 309 downloads

Article overview

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 spaceCommon fixed pointsReciprocal continuous mapsCompatible maps of type (K) and Faintly compatible.

AMS Subject Classification

Primary 47H10, Secondary 54H25.

Reference information

How to Cite

Rajesh Shrivastava, Arihant Jain, Archana Yadav (2021). FIXED POINTS IN MENGER SPACE FOR FAINTLY COMPATIBLE, RECIPROCAL CONTINUOUS AND COMPATIBILITY OF TYPE (K) MAPPINGS. South East Asian Journal of Mathematics and Mathematical Sciences, 17(2), 107-122.

Back to this issue