β€’ FIXED POINT THEOREMS FOR πœ“-CONTRACTIONS AND Ο†-CONTRACTIONS IN QUASI-S-METRIC SPACES

K. P. R. SASTRY, K. K. M. SARMA, P. KRISHNA KUMARI*

Abstract


The notion of quasi- -metric space is introduced based on the definition of -metric space. We observe some properties (or consequences) of quasi- -metric space. We also introduce the notion of πœ“-contraction andΒ  Ο†-Contraction in quasi-S-metric space and prove two fixed point theorems followed by examples to illustrate the validity of our theorems.


Keywords


S-metric space, quasi-S-metric space, ψ-contraction, Ο†-contraction.

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