Common zero point for a finite family of inclusion problems of accretive mappings in Banach spaces |
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| Authors: | Shih-sen Chang Ching-Feng Wen Jen-Chih Yao |
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| Institution: | 1. Center for General Education, China Medical University , Taichung, Taiwan.;2. Center for Fundamental Science, Kaohsiung Medical University , Kaohsiung, Taiwan.;3. Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University , Kaohsiung, Taiwan. |
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| Abstract: | The purpose of this article is to propose a splitting algorithm for finding a common zero of a finite family of inclusion problems of accretive operators in Banach space. Under suitable conditions, some strong convergence theorems of the sequence generalized by the algorithm to a common zero of the inclusion problems are proved. Some applications to the convex minimization problem, common fixed point problem of a finite family of pseudocontractive mappings, and accretive variational inequality problem in Banach spaces are presented. |
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| Keywords: | Convex minimization problem accretive operator inclusion problems of accretive operators zero point problem splitting method |
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