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

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

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