A COMMON FIXED POINT THEOREM VIA TWO AND THREE MAPPING IN BANACH ALGEBRA

Authors

  • Sunil K. Sharma Department of Mathematics SMVDU, Katra
  • Sanjeev Verma Department of Mathematics SMVDU, Katra
  • Kuldip Raj Department of Mathematics SMVDU, Katra

DOI:

https://doi.org/10.30495/jme.v17i0.2549

Keywords:

Common fixed point theorem, Banach algebra, measure of non-compactness, Schaurder fixed point theorem, Darbo's fixed point theorem.

Abstract

In this paper an attempt is made to prove common fixed point theoremfor two and three mappings in Banach algebra by using measure of non-compactness. We also make an effort to prove the common fixed point theorem for two and threecommuting maps.

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Published

2023-03-08

Issue

Section

Vol. 17, No. 2, (2023)