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.
Nashine, H.K., Samet, B., Vetro, C. (2011). Monotone generalized nonlinear contractions and fixed point theorems in ordered metric spaces. MATHEMATICAL AND COMPUTER MODELLING, 54(1-2), 712-720 [10.1016/j.mcm.2011.03.014].
Monotone generalized nonlinear contractions and fixed point theorems in ordered metric spaces
VETRO, Calogero
2011-01-01
Abstract
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.
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