Fixed Points of Contractive Type Maps in Cone Metric Space over Banach Algebra
Ashfaque Ur Rahman *
Department of Mathematics, Motilal Vigyan Mahavidyalaya, Bhopal, Madhya Pradesh, 462016, India.
Geeta Modi
Department of Mathematics, Motilal Vigyan Mahavidyalaya, Bhopal, Madhya Pradesh, 462016, India.
K. Qureshi
Department of Higher Education, Bhopal, Government of Madhya Pradesh, 462004, India.
Manoj Ughade
Department of Mathematics, Institute for Excellence in Higher Education, Bhopal, Madhya Pradesh, 462016, India.
*Author to whom correspondence should be addressed.
Abstract
Our goal in this paper is to prove some fixed point and common fixed theorems for contractive type maps in a CMS over Banach algebra, which unify, extend and generalize most of the existing relevant fixed point theorems from Shaoyuan Xu and Stojan Radenovic [1]. We provide illustrative example to verify our results.
Keywords: CMS over Banach algebra, c-sequence, contractive mapping, fixed point