Some Coupled Coincident Point Theorems in Metric Space
Subject Areas : Fuzzy Optimization and Modeling Journal
1 - Department of Mathematics, Semnan Branch, Islamic Azad University, Semnan, Iran
Keywords: coupled fixed point, Coupled Coincidence, Point Metric Spaces,
Abstract :
In this present work, we prove coupled coincident point theorem for contractive mappings F:X×X⟶X and g:X⟶X such that F(X×X)⊆g(X) in metric spaces that have a nonempty F- invariant and g-invariant complete subset and we prove uniqueness coupled coincidence, then we prove coupled fixed point theorem for contractive mapping F in metric spaces that have a nonempty F- invariant complete subset. Finally, we give an example in this case. Through there are thousands of fixed point theorems in metric space, our theorems is a new type of theorems. because we prove unique coupled fixed point are in F- invariant complete subspace.