Fixed Point Theorem of Generalized Contradiction in Partially Ordered Cone Metric Spaces

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B. Senthilkumar
S. Mayavel

Abstract

In this thesis we discuss the newly introduced concept of cone metric spaces, prove some fixed point theorems existence results of contractive mappings defined on such cone metric space and improve some well-known results in the normal case. The purpose of this paper is to establish the generalization of contractive type mappings on complete cone metric spaces. Also all the results in this paper are new. The main aim of this paper is to prove fixed point theorems is cone metric spaces which extend the Banach contraction mapping and others. This is achieved by introducing different kinds of Cauchy sequences in cone metric spaces.

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