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Monotone generalized nonlinear contractions and fixed point theorems in ordered metric spaces
Journal article   Open access  Peer reviewed

Monotone generalized nonlinear contractions and fixed point theorems in ordered metric spaces

Hemant Kumar Nashine, Bessem Samet and Calogero Vetro
Mathematical and computer modelling, Vol.54(1-2), pp.712-720
01/07/2011
DOI: https://doi.org/10.1016/j.mcm.2011.03.014

Abstract

Computer Science Computer Science, Interdisciplinary Applications Computer Science, Software Engineering Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology
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. (C) 2011 Elsevier Ltd. All rights reserved.
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https://doi.org/10.1016/j.mcm.2011.03.014View
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