APPROXIMATE FIXED POINT THEOREM WITH CONTRACTIVE CONDITIONS

Authors

  • 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)

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

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.

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Published

2023-06-15

Issue

Volume 10 - Issue 2 (2023)

Section

Articles