New results on coupled fixed point theory in metric spaces endowed with a directed graph

被引：0
作者：
Cristian Chifu
Gabriela Petrusel
机构：
[1] Babeş-Bolyai University Cluj-Napoca,Department of Business
来源：
Fixed Point Theory and Applications | / 2014卷
关键词：
fixed point; coupled fixed point; metric space; connected graph;
D O I：
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摘要：
The purpose of this paper is to present some existence results for coupled fixed points of contraction type operators in metric spaces endowed with a directed graph. Our results generalize the results obtained by Gnana Bhaskar and Lakshmikantham in (Nonlinear Anal. 65:1379-1393, 2006). As an application, the existence of a continuous solution for a system of Fredholm and Volterra integral equations is obtained.
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  • [1] Gnana Bhaskar T(2006)Fixed point theorems in partially ordered metric spaces and applications Nonlinear Anal 65 1379-1393
  • [2] Lakshmikantham V(2008)The contraction principle for mappings on a metric space with a graph Proc. Am. Math. Soc 136 1359-1373
  • [3] Jachymski J(2009)IFS on a metric space with a graph structure and extensions of the Kelisky-Rivlin theorem J. Math. Anal. Appl 356 453-463
  • [4] Gwóźdź-Lukawska G(2010)The contraction principle for set valued mappings on a metric space with a graph Comput. Math. Appl 60 1214-1219
  • [5] Jachymski J(2009)Fixed point theorems for weakly contractive mappings in partially ordered sets Nonlinear Anal 71 3403-3410
  • [6] Beg I(2005)Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations Order 22 223-239
  • [7] Butt AR(2007)Existence and uniqueness of fixed points in partially ordered sets and applications to ordinary differential equations Acta Math. Sin. Engl. Ser 23 2205-2212
  • [8] Radojevic S(2007)Fixed point theorems in ordered abstract spaces Proc. Am. Math. Soc 135 2505-2517
  • [9] Harjani J(2008)Fixed point theorems in ordered metric spaces J. Math. Anal. Appl 341 1241-1252
  • [10] Sadarangani K(2004)A fixed point theorem in partially ordered sets and some applications to matrix equations Proc. Am. Math. Soc 132 1435-1443
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