SOME FIXED POINT RESULTS FOR A NEW MULTIVALUED HYBRID MAPPING IN GEODESIC SPACES

emirhan Hacıoğlu, Vatan KARAYAKA

Abstract


The studies about hybrid mappings are mainly focused for single-valued mappings in Hilbert spaces. We define a new class of multivalued mappings in CAT ($\kappa$) spaces which contains the multivalued nonexpansive mappings, $\alpha$-nonexpansive mappings and some hybrid mappings such as $(\alpha, \beta)$-hybrid mappings and we study existence and convergence of this new class of mappings on CAT($\kappa$) spaces which is more general than CAT(0) spaces and also non-Euclidean generalization of Hilbert 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|