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Some generalizations of a hybrid fixed point theorem in partially ordered metric spaces and nonlinear functional integral equations
In this paper, the author presents some generalizations of a measure theoretic hybrid fixed point theorem of Dhage for the monotone nondecreasing mappings in a partially ordered metric space and then applies to a nonlinear functional integral equation for proving the exis- tence as well as local ultimate attractivity of the comparable solutions defined on a unbounded interval of real line. An algorithm is constructed and it is shown that the sequence of succes- sive approximations of the considered integral equation converges monotonically to the solution under weak partial Lipschitz and partial compactness type conditions
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