Title

GENERALIZED FIXED POINT THEOREMS IN
G-METRIC SPACE UNDER AN IMPLICIT RELATION

Authors

T. Phaneendra
Department of Mathematics
School of Advanced Sciences
VIT University
Vellore, 632014, Tamil Nadu, INDIA

Abstract

Common fixed point theorems are proved in a -metric space for four self-maps through the notions of weak compatibility, common limit range property and an implicit relation. These are generalized versions of the results of [3], [4] and the metrical fixed point theorem obtained in [5].

History

Received: February 23, 2017
Revised: May 23, 2017
Published: July 14, 2017

AMS Classification, Key Words

AMS Subject Classification: 54H25
Key Words and Phrases: -metric space, common limit range property, implicit relation, weakly compatible maps, coincidence point, common fixed point

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Bibliography

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How to Cite?

DOI: 10.12732/ijpam.v115i2.14 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 115
Issue: 2
Pages: 369 - 382

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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