Title of article :
A Common Fixed Point Theorem via Two and Three Mapping in Banach Algebra
Author/Authors :
Verma ، Sanjeev School of Mathematics - Shri Mata Vaishno Devi University , Raj ، Kuldip School of Mathematics - Shri Mata Vaishno Devi University , Sharma ، Sunil Kumar School of Mathematics - Shri Mata Vaishno Devi University
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
Journal title :
Journal of Mathematical Extension(IJME)
Journal title :
Journal of Mathematical Extension(IJME)
