COUPLED FIXED POINT THEOREMS IN GENERALIZED METRIC SPACES

Authors : W. SHATANAWİ

Pages : 441-447

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Publication Date : 2011-03-01

Article Type : Research Paper

Abstract :T. G. Bhaskar and V. Lakshmikantham insert ignore into journalissuearticles values(Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Analysis 65, 1379–1393, 2006);, V. Lakshmikantham and Lj. B. Ciri´c insert ignore into journalissuearticles values( ´ Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Analysis 70, insert ignore into journalissuearticles values(2009); 4341–4349, 2009); introduced the concept of a coupled coincidence point of a mapping F from X ×X into X and a mapping g from X into X. In the present paper, we prove a coupled coincidence fixed point theorem in the setting of a generalized metric space in the sense of Z. Mustafa and B. Sims.
Keywords : Common fixed Point, Coupled coincidence fixed point, Generalized metric space, 2000 AMS Classification 54 H 25