Abstract
The purpose of this paper is to prove the strong and 4-convergencetheorems of the new multi-step iteration process for multi-valued quasi-nonexpansivemappings in a complete geodesic space. Our results extend and improve someresults in the literature
Highlights
For a real number ; a CAT( ) space is de...ned by a geodesic metric space whose geodesic triangle is su¢ ciently thinner than the corresponding comparison triangle in a model space with the curvature
The purpose of this paper is to prove the strong and 4-convergence theorems of the new multi-step iteration process for multi-valued quasi-nonexpansive mappings in a complete geodesic space
In this paper, motivated by the above results, we prove some theorems related to the strong and 4-convergence of the new multi-step iteration processes de...ned by (C) and (D) for multi-valued quasi-nonexpansive mappings in a CAT(1) space
Summary
For a real number ; a CAT( ) space is de...ned by a geodesic metric space whose geodesic triangle is su¢ ciently thinner than the corresponding comparison triangle in a model space with the curvature. The purpose of this paper is to prove the strong and 4-convergence theorems of the new multi-step iteration process for multi-valued quasi-nonexpansive mappings in a complete geodesic space. Panyanak [11] studied the Ishikawa iteration process for multi-valued mappings in a CAT(1) space as follows.
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