Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Existence and uniqueness of common coupled fixed point results via auxiliary functions

Document Type : Research Paper

Authors
1 Khalsa College of Engineering & Technology (Punjab Technical University)
2 ATILIM UNIVERSITY
3 Sultan Qaboos University
Abstract
‎The purpose of this paper is to establish some coupled coincidence point theorems for mappings having a mixed $g$-monotone property in partially ordered metric spaces‎. ‎Also‎, ‎we present a result on the existence and uniqueness of coupled common fixed points‎. ‎The results presented in the paper generalize and extend several well-known results in the literature‎.
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Volume 40, Issue 1 - Serial Number 1
February 2014
Pages 199-215

  • Receive Date 01 April 2012
  • Revise Date 31 December 2012
  • Accept Date 01 January 2013