Existence theorems for coincidence points of $f$-contractive mappings in cone $b$-metric spaces

Kasamsuk Ungchittrakool

Abstract


In this paper, we provide some sufficient conditions and then prove some existence theorems of coincidence points of $f$-contractive mappings without the assumption of normality in cone $b$-metric spaces. The results not only directly improve and generalize some fixed point results in metric spaces and $b$-metric spaces, but also expand and complement some previous results in cone metric spaces.

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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|