Papers by Supamit Wiriyakulopast
Prince of Songkla University, 2012
In this thesis we study the existence of a retraction of a closed subset of a Banach space. Then ... more In this thesis we study the existence of a retraction of a closed subset of a Banach space. Then we introduce and study a three-step iterative process with viscosity to approximate common fixed points for asymptotically quasi-nonexpansive nonself mappings in Banach spaces. Criteria for strong convergence of such iteration is given. We also introduce and study a multi-step iterative schemes with viscosity to approximate of common fixed points of finite family for asymptotically quasi-nonexpansive nonself mappings in Banach spaces. Finally, weak and strong convergence theorems for such iteration in uniformly convex Banach spaces are established under some sufficient conditions. I wish to thank all friends for their helpful suggestions and friendship over the course of this study. Finally, I wish to thank my beloved parents, my sister and brother for their love, support, understanding and encouragement.
In this thesis we study the existence of a retraction of a closed subset of a Banach space. Then ... more In this thesis we study the existence of a retraction of a closed subset of a Banach space. Then we introduce and study a three-step iterative process with viscosity to approximate common fixed points for asymptotically quasi-nonexpansive nonself mappings in Banach spaces. Criteria for strong convergence of such iteration is given. We also introduce and study a multi-step iterative schemes with viscosity to approximate of common fixed points of finite family for asymptotically quasi-nonexpansive nonself mappings in Banach spaces. Finally, weak and strong convergence theorems for such iteration in uniformly convex Banach spaces are established under some sufficient conditions.
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Papers by Supamit Wiriyakulopast