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On the \(C\)-class functions of fixed point and best proximity point results for generalised cyclic-coupled mappings. (English) Zbl 1426.54029

Summary: Existence of fixed point for \(C\)-class functions was first proved by Ansari in 2014. Then, many authors gave interesting results using \(C\)-class functions. In this paper, we prove the existence of strong coupled proximity point for generalised cyclic-coupled proximal maps. Our result generalises the results of Kadwin and Marudai.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
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