Fixed Point Theorems for Generalized Weakly Contractive Mappings in S-Metric Space

Somkiat Chaipornjareansri

Abstract


In this paper, we introduce the notion of generalized weakly contractive mappings in $ S $-metric spaces and prove the existence and uniqueness of fixed point for such mappings in complete $ S $ metric spaces. These theorems generalize many previously obtained fixed point results. An example is given to illustrate the main result.

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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|