Title: Existence and uniqueness of fixed point for contractive mapping of integral type

Authors: Vishal Gupta; Naveen Mani

Addresses: Department of Mathematics, Maharishi Markandeshwar University, Mullana-133207, Ambala, Haryana, India ' Department of Mathematics, Maharishi Markandeshwar University, Mullana-133207, Ambala, Haryana, India

Abstract: In this paper, we prove a fixed point theorem for contractive mapping of integral type in complete metric spaces by using iterative approximations. This paper extends and improves results of Rakotch (1962), Branciari (2002), and several other results announced by many authors. An example and few remarks are given to show that our result is a proper extension of existing ones.

Keywords: fixed point theorem; complete metric space; contractive mapping; integral type; iterative approximations.

DOI: 10.1504/IJCSM.2013.054685

International Journal of Computing Science and Mathematics, 2013 Vol.4 No.1, pp.72 - 83

Received: 20 Sep 2012
Accepted: 24 Mar 2013
Published online: 10 May 2014 *

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