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Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces

✍ Scribed by V. Lakshmikantham; Ljubomir Ćirić

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
526 KB
Volume
70
Category
Article
ISSN
0362-546X

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✦ Synopsis

We introduce the concept of a mixed g-monotone mapping and prove coupled coincidence and coupled common fixed point theorems for such nonlinear contractive mappings in partially ordered complete metric spaces. Presented theorems are generalizations of the recent fixed point theorems due to Bhaskar and Lakshmikantham [T.G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. TMA 65 (2006) 1379-1393] and include several recent developments.

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