Some Coupled Coincident Point Theorems in Metric Space

Fuzzy Optimization and Modeling Journal

مقاله 6، دوره 3، شماره 1، فروردین 2022، صفحه 72-79   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/fomj.2022.1952187.1060

نویسنده

Samaneh Ghods^*

Department of Mathematics, Semnan Branch, Islamic Azad University, Semnan, Iran

چکیده

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.

کلیدواژه‌ها

Coupled Fixed Point؛ Coupled Coincidence؛ Point Metric Spaces