Convergence analysis of hybrid projection with Cesàro mean method for the split equilibrium and general system of finite variational inequalities

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• 作者：Jitsupa Deepho^a ; ^b ; ^{jitsupa.deepho@mail.kmutt.ac.th} ; Juan Martí ; nez-Moreno^b ; ^{jmmoreno@ujaen.es} ; Kanokwan Sitthithakerngkiet^a ; ^c ; ^{kanokwans@kmutnb.ac.th} ; ^{kanokwan.s@sci.kmutnb.ac.th} ; Poom Kumam^a ; ^d ; ^e ; ^{poom.kum@kmutt.ac.th} ; ^{poom.kum@mail.cmu.edu.tw}
• 关键词：47H10 ; 49J40 ; 49M05
• 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：658-673
• 全文大小：541 K
• 卷排序：318

文摘

In this paper, we present a new iterative algorithm for finding a common element of three solution sets; (i) split equilibrium problem; (ii) general system of finite variational inequality problem; and (iii) fixed point problem. This algorithm is modified by hybrid method based on Cesàro mean in real Hilbert spaces. Furthermore, a strong convergent theorem is established and this theorem is the generalization of many previously known results in this research area. Finally, we study the rate of convergence of the iterative algorithm and some illustrative numerical examples are presented.