We also study some convergence of multivalued proximal version of Thianwan iteration scheme for non-self multivalued generalized hybrid mappings in CAT($\kappa $)-spaces
📌 3 Key Takeaways
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Objective & Hypothesis:The studies about hybrid mappings are mainly focused on single-valued mappings.
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Key Findings & Data:Now, we give definition of multivalued generalization of generalized hybrid mappings which is defined in CAT(0) spaces and also studied on CAT($\kappa$) spaces.
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Conclusion & Impact:We also study some convergence of multivalued proximal version of Thianwan iteration scheme for non-self multivalued generalized hybrid mappings in CAT($\kappa $)-spaces
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Multivalued hybrid mapping · Multivalued mapping · Fixed point
Abstract
The studies about hybrid mappings are mainly focused on single-valued mappings. Now, we give definition of multivalued generalization of generalized hybrid mappings which is defined in CAT(0) spaces and also studied on CAT($\kappa$) spaces. This new definition s general than multivalued nonexpansive mappings, multivalued hybrid mappings and multivalued nonspreading mappings. Under suitable conditions, we prove some existence and stability results. We also study some convergence of multivalued proximal version of Thianwan iteration scheme for non-self multivalued generalized hybrid mappings in CAT($\kappa $)-spaces
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