Fixed Point Theorems for Generalized Contractions with Triangular $\alpha$-Orbital Admissible Mappings on Branciari Metric Spaces

Suparat Baiya, Anchalee Kaewcharoen


The fixed point theorems and unique common fixed point theorems for generalized contractions with triangular $f$-$\alpha$-admissible mappings on Branciari metric spaces are proven omitting some conditions of $\psi \in \Psi_1$ using $\Psi_2$ the set of all nondecresing and continuous functions. We prove the unique common fixed point theorem for generalized contractions in the setting of partially ordered Branciari metric spaces using our main result. Moreover, we also present the example that supports our 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|