On Generalized Contraction Principles over S-metric Spaces with Application to Homotopy

Year 2020, Issue: 31, 95 - 103, 30.06.2020

Debashis Dey Kushal Roy Mantu Saha

Abstract

In the present paper, we introduce the concept of a class of generalized
contraction mappings called A-contraction on S-metric space and investigate the
existence of fixed points over such spaces. Analogue result has been formulated
in integral setting over such an S-metric space. Moreover, the result is applied to
homotopy theory.
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Keywords

Fixed point, A-contraction, S-metric space

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