Employing Common Limit Range Property to Prove Unified Metrical Common Fixed Point Theorems. (2nd May 2013)

• Record Type: Journal Article
• Authors: Imdad, Mohammad; Chauhan, Sunny
• Other Names: Qian Chuanxi Academic Editor.
• Is Part Of: International journal of analysis. Volume 2013(2013)
• Publication Date: 2013-05-02
• Subjects: Mathematical analysis -- Periodicals; 515.05
• DOI: 10.1155/2013/763261
• Languages: English
• ISSNs: 2314-498X

Abstract

Abstract : The purpose of this paper is to emphasize the role of "common limit range property" to ascertain the existence of common fixed point in metric spaces satisfying an implicit function essentially due to the paper of Ali and Imdad (2008). As an application to our main result, we derive a fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. Our results improve and extend a host of previously known results including the ones contained in the paper of Ali and Imdad (2008). We also furnish some illustrative examples to support our main results.