Abstract
We obtain coincidence points of mappings and relations under a contractive condition in a metric space. As applications, we achieve an existence and uniqueness theorem of solution for a general class of nonlinear integral equations.2010 Mathematics Subject Classification: 47H10; 54H25; 54C60.
Highlights
The advancement and the rich growth of fixed point theorems in metric spaces has important theoretical and practical applications
The coincidence and common fixed points generalizations were further studied by many authors
Aydi et al [13] established some coincidence and common fixed point results for three self-mappings on a partially ordered cone metric space satisfying a contractive condition and proved an existence theorem of a common solution of integral equations
Summary
The advancement and the rich growth of fixed point theorems in metric spaces has important theoretical and practical applications. Their reference result is the Banach contraction theorem, which states that if X is a complete metric space and T : X ® X a contractions mapping on X (i.e., d(Tx, Ty) ≤ ld(x, y) for all x, y Î X, where 0
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