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Hybrid steepest-descent methods for triple hierarchical variational inequalities
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نویسنده
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ceng l.c. ,latif a. ,wen c.f. ,al-mazrooei a.e.
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منبع
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journal of function spaces - 2015 - دوره : 2015 - شماره : 0
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چکیده
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We introduce and analyze a relaxed iterative algorithm by combining korpelevich's extragradient method,hybrid steepest-descent method,and mann's iteration method. we prove that,under appropriate assumptions,the proposed algorithm converges strongly to a common element of the fixed point set of infinitely many nonexpansive mappings,the solution set of finitely many generalized mixed equilibrium problems (gmeps),the solution set of finitely many variational inclusions,and the solution set of general system of variational inequalities (gsvi),which is just a unique solution of a triple hierarchical variational inequality (thvi) in a real hilbert space. in addition,we also consider the application of the proposed algorithm for solving a hierarchical variational inequality problem with constraints of finitely many gmeps,finitely many variational inclusions,and the gsvi. the results obtained in this paper improve and extend the corresponding results announced by many others. © 2015 l. c. ceng et al.
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آدرس
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department of mathematics,shanghai normal university,scientific computing key laboratory of shanghai universities, China, department of mathematics,king abdulaziz university,p.o. box 80203, Saudi Arabia, center for fundamental science,kaohsiung medical university, Taiwan, department of mathematics,college of science,university of jeddah,p.o. box 80203, Saudi Arabia
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Authors
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