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Fixed Point Theorems of Generalized Contractions in Partially Ordered Cone Metric Spaces (1102.4019v2)
Published 19 Feb 2011 in math.FA
Abstract: The aim of this paper is to present some fixed point theorems for generalized contractions by altering distance functions in a complete cone metric spaces endowed with a partial order. We also generalize fixed point theorems of J. Harjani, K. Sadarangani [J. Harjani, K. Sadarangani, Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations, Nonlinear Analysis 72 (2010) 1188-1197] from metric spaces to cone metric spaces.
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