Peer-Reviewed Article January 28, 2009
Monotone Generalized Nonlinear Contractions in Partially Ordered Metric Spaces
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Published in: Fixed Point Theory and Applications
Publisher: Springer Nature • Egypt • 1687-1812
Abstract
Abstract A concept of "Equation missing"-monotone mapping is introduced, and some fixed and common fixed point theorems for "Equation missing"-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).