On the fixed point theory of soft metric spaces

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Authors

Abbas, Mujahid
Murtaza, Ghulam
Romaguera, Salvador

Journal Title

Journal ISSN

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Publisher

SpringerOpen

Abstract

The aim of this paper is to show that a soft metric induces a compatible metric on the collection of all soft points of the absolute soft set, when the set of parameters is a finite set. We then show that soft metric extensions of several important fixed point theorems for metric spaces can be directly deduced from comparable existing results. We also present some examples to validate and illustrate our approach.

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Keywords

Soft mapping, Soft metric space, Soft contraction, Soft Caristi mapping

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Citation

Abbas, M, Murtaza, G & Romaguera, S 2016, 'On the fixed point theory of soft metric spaces', Fixed Point Theory and Applications, vol. 1, art. #17, pp. 1-11.