- Journal of New Theory
- Issue: 31
- On Generalized Contraction Principles over S-metric Spaces with Application to Homotopy
On Generalized Contraction Principles over S-metric Spaces with Application to Homotopy
Authors : Debashis Dey, Kushal Roy, Mantu Saha
Pages : 95-103
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Publication Date : 2020-06-30
Article Type : Research
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. -Keywords : Fixed point, A-contraction, S-metric space