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http://dx.doi.org/10.4134/CKMS.2012.27.1.117

NONLINEAR CONTRACTIONS IN PARTIALLY ORDERED QUASI b-METRIC SPACES  

Shah, Masood Hussain (Department of Mathematical Sciences LUMS)
Hussain, Nawab (Department of Mathematics King Abdulaziz University)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.1, 2012 , pp. 117-128 More about this Journal
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].
Keywords
g-monotone mapping; g-non-decreasing mapping; coincidence; fixed point; common fixed point; complete quasi b-metric space;
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