A Survey on the Fixed Point Theorems via Admissible Mapping

A Survey on the Fixed Point Theorems via Admissible Mapping

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Publicado en 3C TIC – Volume 11 Issue 2 (Ed. 41)

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Abstract

In this survey, we discuss the crucial role of the notion of admissible mapping in the metric fixed point theory. Adding admissibility conditions to the statements leads not only to generalizing the existing results but also unifying several corresponding results in different settings. In particular, a contraction via admissible mapping involves and covers contractions defined on partially ordered sets, and contractions forming cyclic structure.

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Keywords

Admissible mapping, fixed point

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