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 Paper

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