Coupled fixed points in partially ordered metric spaces and application |
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Authors: | Nguyen Van Luong Nguyen Xuan Thuan |
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Institution: | Department of Natural Sciences, Hong Duc University, Thanh Hoa, Viet Nam |
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Abstract: | In this paper, we prove some coupled fixed point theorems for mappings having a mixed monotone property in partially ordered metric spaces. The main results of this paper are generalizations of the main results of Bhaskar and Lakshmikantham T. Gnana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. TMA 65 (2006) 1379-1393]. As an application, we discuss the existence and uniqueness for a solution of a nonlinear integral equation. |
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Keywords: | 54H25 47H10 |
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