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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Affiliation: | 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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