Journal article

COUPLED FIXED POINT THEOREMS IN GENERALIZED METRIC SPACES

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 PointCoupled coincidence fixed pointGeneralized metric space2000 AMS Classification 54 H 25

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