Fixed Point Theorems for Generalized R-Contraction in b-Metric Spaces

Atit Wiriyapongsanon, Narawadee Phudolsitthiphat

Abstract


In 2015, Roldan Lopez de Hierro and Shahzad introduced the family of R-functions which cover simulation function and manageable function. Following this line of research, we introduce a generalization of R-contraction in b-metric spaces and prove some fixed point theorems for such mappings in $b$-metric spaces. Our results extend and improve several well-known comparable results. Finally, we give examples to support our results.

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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|