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Monotone generalized nonlinear contractions and fixed point theorems in ordered metric spaces. (English) Zbl 1225.54022
Summary: The purpose of this paper is to present some fixed point theorems for $$T$$-weakly isotone increasing mappings which satisfy a generalized nonlinear contractive condition in complete ordered metric spaces. As application, we establish an existence theorem for a solution of some integral equations.

##### MSC:
 54H25 Fixed-point and coincidence theorems (topological aspects) 65J15 Numerical solutions to equations with nonlinear operators (do not use 65Hxx) 47H10 Fixed-point theorems
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##### References:
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