Fixed point theorem for interpolative mappings in \(F\)-\(M_v\)-metric space with an application. (English) Zbl 1542.54026
Summary: The aim of this paper is to prove fixed point results for Interpolative mappings in \(F\)-\(M_v\)-metric spaces with an application which cannot be obtained from the corresponding results in metric spaces. We also provide an illustrative example to support our results. Besides discussing an application to Volterra-Fredholm type integral equations.
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54E40 | Special maps on metric spaces |
Keywords:
fixed point; interpolative mapping; \(F\)-contraction; \(M_v\)-metric space; Volterra-Fredholm type integral equationsReferences:
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