We derive some new coincidence and common fixed point theorems for self-mappings satisfying a generalized contractive condition in partially ordered metric spaces. As applications of the presented theorems, we obtain fixed point results for generalized contraction of integral type and we prove an existence theorem for solutions of a system of integral equations.
Nashine, H.K., Samet, B., Vetro, C. (2012). Fixed point theorems in partially ordered metric spaces and existence results for integral equations. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 33(11), 1304-1320 [10.1080/01630563.2012.675395].
Fixed point theorems in partially ordered metric spaces and existence results for integral equations
VETRO, Calogero
2012-01-01
Abstract
We derive some new coincidence and common fixed point theorems for self-mappings satisfying a generalized contractive condition in partially ordered metric spaces. As applications of the presented theorems, we obtain fixed point results for generalized contraction of integral type and we prove an existence theorem for solutions of a system of integral equations.
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