Fixed Point Theorems of Generalized Contractions in Partially Ordered Cone Metric Spaces

Details Fixed Point Theorems of Generalized Contractions in Partially Ordered Cone Metric Spaces Fixed Point Theorems of Generalized Contractions in Partially Ordered Cone Metric Spaces

2011-02-19

arxiv.org/abs/1102.4019v1

Mathematics

Functional Analysis

10 pages

Scientific paper

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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