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arXiv · 1602.00543

FG- coupled fixed point theorems for various contractions in partially ordered metric spaces

Prajisha Eacha·Shaini Pulickakunnel
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Abstract

In this paper we introduce FG- coupled fixed point, which is a generalization of coupled fixed point for nonlinear mappings in partially ordered complete metric spaces. We discuss existence and uniqueness theorems of FG- coupled fixed points for different contractive mappings. Our theorems generalizes the results of Gnana Bhaskar and Lakshmikantham [T. Gnana Bhaskar, V. Lakshmikantham; Fixed point theorems in partially ordered metric spaces and applications; Nonlinear Analysis 65 (2006) 1379 -1393].

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BibTeXRIS

Prajisha Eacha, Shaini Pulickakunnel. 2016-01-22. FG- coupled fixed point theorems for various contractions in partially ordered metric spaces. https://arxiv.org/abs/1602.00543

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