A Common Fixed Point Theorem via Two and Three Mapping in Banach Algebra

Author(s):

Sanjeev Verma , Kuldip Raj , Sunil Kumar Sharma *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper we make an attempt to prove common fixed point theorem for two and three mappings in Banach algebra by using measure of non-compactness. In the second section of the paper we prove the common fixed point theorem for two continuous linear operators on Banach algebra and also an effort is made to prove common fixed point theorem for three continuous commuting operators in Banach algebra.

Keywords:

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

Language:
English
Published:
Journal of Mathematical Extension, Volume:17 Issue: 2, Feb 2023
Page:
8
https://www.magiran.com/p2553787