APPROXIMATE FIXED POINT THEOREM WITH CONTRACTIVE CONDITIONS

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Published: Jun 15, 2023
DOI: https://doi.org/10.53555/sfs.v10i2.1072
Keywords:
Fixed point theorem Approximate fixed point theorem Contractive conditions metric space b metric space complete b metric space

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Thirunavukarasu P
Assistant Professor, PG & Research Department of Mathematics , Thanthai Periyar Government Arts and Science College (Autonomous), (Affiliated to Bharathidasan University) Tiruchirappalli-620 023, Tamilnadu, India
Savitha S
Research scholar (Reg No.BDU2020182778694), Thanthai Periyar Government Arts and Science College (Autonomous), (Affiliated to Bharathidasan University) Tiruchirappalli-620 023, Tamilnadu, India.and Assistant Professor,Department of Mathematics,Kongu Arts and Science College (Autonomous) ,(Affiliated to Bharathiar University)

Abstract

In this article, we have reviewed previous approximative fixed point theorems and developed some new fixed point theorems for entire metric space and for b-metric space for the maps meeting the contractive criteria Banach contraction, U contraction, Reich Contraction, and Kannan Contraction.

Article Details

Issue
Volume 10 - Issue 2 (2023)
Section
Articles