On ∆-Convergence Theorems in b-CAT(0) Spaces

Cholatis Suanoom

Abstract


In this work, we extend and improve CAT(0) spaces to b-CAT(0) spaces by using the concept of b-metric spaces. Second, we establish new spaces, that is b-CAT(0) spaces and prove the results of a fixed point for non-expansive mappings on b-CAT(0) spaces. Moreover, we obtain ∆-convergence theorems for non-expansive mappings on b-CAT(0) spaces and present some properties.


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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|