A new general iterative scheme for split variational inclusion and fixed point problems of -strict pseudo-contraction mappings with convergence analysis

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• 作者：Jitsupa Deepho^a ; ^{jitsupa.d@sciee.kmutnb.ac.th} ; Phatiphat Thounthong^b ; ^c ; ^{phtt@kmutnb.ac.th} ; Poom Kumam^d ; ^e ; ^f ; ^{poom.kum@kmutt.ac.th} ; Supak Phiangsungnoen^g ; ^{supak.pia@rmutr.ac.th}
• 关键词：47H05 ; 47H09 ; 47H10 ; 47J22
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：July 2017
• 年：2017
• 卷：318
• 期：Complete
• 页码：293-306
• 全文大小：539 K
• 卷排序：318

文摘

In this paper, we modify the general iterative method to approximate a common element of the set of solutions of split variational inclusion problem and the set of common fixed points of a finite family of kk-strictly pseudo-contractive nonself mappings. Strong convergence theorem is established under some suitable conditions in a real Hilbert space, which also solves some variational inequality problems. Results presented in this paper may be viewed as a refinement and important generalizations of the previously known results announced by many other authors. Finally, some examples to study the rate of convergence and some illustrative numerical examples are presented.