Fixed Point Theorems for $ F_w $-Contractions in Complete $ S $-Metric Spaces

Somkiat Chaipornjareansri

Abstract


In this paper, we define a $ w $-distance on a complete $ S $-metric space, which is a generalization of the concept of the $ w $-distance due to Kada, Suzuki and Takahashi. Also, we introduce the concept of the $ F_w $-contraction in a complete $ S $-metric space and extend the fixed point theorem.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|