Fixed Points of Expansive Type Maps in Cone Metric Space over Banach Algebra
Richa Gupta
Department of Engineering Mathematics and Research Center, Sarvepalli Radhakrishanan University, Bhopal, 462026, India.
Anil Bakhru
Department of Mathematics, Sardar Vallabhbhai Polytechnic College, College of University of Technology of Madhya Pradesh, Bhopal, 462002, India.
*Author to whom correspondence should be addressed.
Abstract
Our aim of this paper is to prove some fixed point and common fixed theorems for contractive type maps in a cone metric space over Banach algebra, which unify, extend and generalize most of the existing relevant fixed point theorems from Jiang et al. [1].
Keywords: Cone metric space, Banach algebra, expansive mapping, fixed point.