Abstract:In this paper, we obtain a Quadruple fixed point theorem for ψ − φ contractive condition in partially ordered partial metric spaces by using ICS mapping. We are also given an example and an application to integral equation which supports our main theorem.2010 Mathematics Subject Classification. Primary: 47H10, 54H25.
“…As an application, they study the existence and uniqueness of the solution to integral equation. Some applications of fixed point theorems in metric or fuzzy metric theory can be seen in [2,3,4,7,9,11,12,16,17,18,25].…”
In the present paper, we prove some common fixed point theorems for mappings satisfying common limit in the range property in M-fuzzy metric space. Further, we prove fixed point theorem for ph-contractive conditions in aforesaid spaces with the illustration of an example. As an application of our result, we study the existence and uniqueness of the solution of integral equation (Volterra integral equations of the second kind) with instances.
“…As an application, they study the existence and uniqueness of the solution to integral equation. Some applications of fixed point theorems in metric or fuzzy metric theory can be seen in [2,3,4,7,9,11,12,16,17,18,25].…”
In the present paper, we prove some common fixed point theorems for mappings satisfying common limit in the range property in M-fuzzy metric space. Further, we prove fixed point theorem for ph-contractive conditions in aforesaid spaces with the illustration of an example. As an application of our result, we study the existence and uniqueness of the solution of integral equation (Volterra integral equations of the second kind) with instances.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.