FIXED POINTS FOR S-CONTRACTIONS OF TYPE E ON S-METRIC SPACES

Authors

  • Thangjam Bimol Department of Mathematics, Jadonang Memorial College
  • N. Priyobarta Department of Mathematics, Dhanamanjuri University
  • Yumnam Rohen Department of Mathematics, Manipur University,
  • Kumam Anthony Singh Department of Mathematics, Manipur University

Abstract

In this paper, we extend the concept of S-contractions of type E in an S-metric space. Further, by combining simulation function and S-contractions of type E, we examine the existence and uniqueness of fixed point in a complete S-metric space. Sufficient examples are provided and application to the solution of integral equation is also made.

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Published

2024-08-27

Issue

Volume 29, Number 3, September 2024

Section

Articles