Bhaskar-Lakshmikantham type results for monotone mappings in partially ordered metric spaces

Document Type : Research Paper

Author

Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia

Abstract

In this paper, coupled fixed point results of Bhaskar-Lakshmikantham type [T. Gnana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Analysis 65 (2006) 1379-1393] are extend, generalized, unify and improved by using monotone mappings instead mappings with mixed monotone property. Also, an example is given to support these improvements.

Keywords

  • Receive Date: 11 February 2013
  • Revise Date: 29 April 2014
  • Accept Date: 04 May 2014