Strong convergence theorems for multivalued mappings in a geodesic space with curvature bounded above

Fixexd point theory and applications

Pongsakorn Yotkaew¹  Satit Saejung¹ 

[1] Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, Thailand

关键词: \(\operatorname{CAT}(\kappa)\) space;    fixed point;    Ishikawa iteration;    Mann iteration;    multivalued mapping;    strong convergence;   

DOI  :  10.1186/s13663-015-0488-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We prove two strong convergence results of the Ishikawa iteration for a multivalued quasi-nonexpansive mapping in a complete geodesic space with curvature bounded above. Our results improve significantly the recent results of Panyanak (Fixed Point Theory Appl. 2014:1, 2014) in the sense that many restrictions in his results are weakened. In particular, we can conclude that the convergence result of the Mann iteration which cannot be deduced from Panyanak’s results.

【 授权许可】

CC BY