Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 74, Issue 15, Pages 4889-4897Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2011.03.032
Keywords
Metric space; Contractive type operator; Tripled fixed point; Existence and uniqueness
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In this paper, we introduce the concept of tripled fixed point for nonlinear mappings in partially ordered complete metric spaces and obtain existence, and existence and uniqueness theorems for contractive type mappings. Our results generalize and extend recent coupled fixed point theorems established by Gnana Bhaskar and Lakshmikantham [T. Gnana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (7) (2006) 1379-1393]. Examples to support our new results are given. (C) 2011 Elsevier Ltd. All rights reserved.
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