Open Access

Monotone Generalized Nonlinear Contractions in Partially Ordered Metric Spaces

  • Ljubomir Ćirić1Email author,
  • Nenad Cakić2,
  • Miloje Rajović3 and
  • Jeong Sheok Ume4
Fixed Point Theory and Applications20092008:131294

DOI: 10.1155/2008/131294

Received: 29 August 2008

Accepted: 9 December 2008

Published: 29 January 2009

Abstract

A concept of -monotone mapping is introduced, and some fixed and common fixed point theorems for -non-decreasing generalized nonlinear contractions in partially ordered complete metric spaces are proved. Presented theorems are generalizations of very recent fixed point theorems due to Agarwal et al. (2008).

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Authors’ Affiliations

(1)
Faculty of Mechanical Engineering, University of Belgrade
(2)
Faculty of Electrical Engineering, University of Belgrade
(3)
Faculty of Mechanical Engineering, University of Kragujevac
(4)
Department of Applied Mathematics, Changwon National University

Copyright

© Ljubomir Ćirić et al. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.