Coupled points in ordered generalized metric spaces and application to integro-dierential equations

Van Luong, Nguyen; Thuan, Nguyen Xuan

doi:10.2478/auom-2013-0050

Abstract

In this paper, we prove some coupled fixed point theorems for O-compatible mappings in partially ordered generalized metric spaces under certain conditions to extend and complement the recent fixed point theorems due to Bhaskar and Lakshmikantham [Nonlinear Anal. TMA 65 (2006) 1379 - 1393] and Berinde [Nonlinear Anal. TMA 74 (2011) 7347-7355]. We give some examples to illustrate our results. An application to integro-differential equations is also given.

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Coupled points in ordered generalized metric spaces and application to integro-dierential equations

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