- NONLINEAR CONTRACTIONS IN PARTIALLY ORDERED QUASI b-METRIC SPACES
- Shah, Masood Hussain ; Hussain, Nawab ;
- Communications of the Korean Mathematical Society, volume 27, issue 1, 2012, Pages 117~128
- DOI : 10.4134/CKMS.2012.27.1.117

Abstract

Using the concept of a g-monotone mapping we prove some common fixed point theorems for g-non-decreasing mappings which satisfy some generalized nonlinear contractions in partially ordered complete quasi b-metric spaces. The new theorems are generalizations of very recent fixed point theorems due to L. Ciric, N. Cakic, M. Rojovic, and J. S. Ume, [Monotone generalized nonlinear contractions in partailly ordered metric spaces, Fixed Point Theory Appl. (2008), article, ID-131294] and R. P. Agarwal, M. A. El-Gebeily, and D. O`Regan [Generalized contractions in partially ordered metric spaces, Appl. Anal. 87 (2008), 1-8].