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

2016/01/22 by Prajisha Eacha, Eacha, Prajisha, Shaini Pulickakunnel +1
Mathematics · #47H10 #54F05 #FOS: Mathematics #Fixed Point Theorems Analysis #General Topology (math.GN)

paper · pdf · doi:10.48550/arxiv.1602.00543

openalex publication_date 2016/01/22 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

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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