Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841367 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 10 Pages |
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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Authors
Nguyen Van Luong, Nguyen Xuan Thuan,