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A Picard-type iterative algorithm for general variational inequalities and nonexpansive mappings

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dc.contributor.author Gürsoy, Faik
dc.contributor.author Ertürk, Müzeyyen
dc.contributor.author Abbas, Mujahid
dc.date.accessioned 2025-08-26T05:30:30Z
dc.date.available 2025-08-26T05:30:30Z
dc.date.issued 2020
dc.identifier.issn 1017-1398
dc.identifier.uri http://dspace.adiyaman.edu.tr:8080/xmlui/handle/20.500.12414/6662
dc.description.abstract In this paper, a normal S-iterative algorithm is studied and analyzed for solving a general class of variational inequalities involving a set of fixed points of nonexpansive mappings and two nonlinear operators. It is shown that the proposed algorithm converges strongly under mild conditions. The rate of convergence of the proposed iterative algorithm is also studied. An equivalence of convergence between the normal S-iterative algorithm and Algorithm 2.6 of Noor (J. Math. Anal. Appl. 331, 810-822, 2007) is established and a comparison between the two is also discussed. As an application, a modified algorithm is employed to solve convex minimization problems. Numerical examples are given to validate the theoretical findings. The results obtained herein improve and complement the corresponding results in Noor (J. Math. Anal. Appl. 331, 810-822, 2007). tr
dc.language.iso en tr
dc.publisher SPRINGER tr
dc.subject Variational inequalities tr
dc.subject Iterative methods tr
dc.subject alpha - inverse strongly monotone mappings tr
dc.subject Nonexpansive mappings tr
dc.subject Convex optimization tr
dc.title A Picard-type iterative algorithm for general variational inequalities and nonexpansive mappings tr
dc.type Article tr
dc.contributor.authorID 0000-0002-7118-9088 tr
dc.contributor.authorID 0000-0002-5328-7995 tr
dc.contributor.authorID 0000-0001-5528-1207 tr
dc.contributor.department Adiyaman Univ, Dept Math tr
dc.contributor.department Govt Coll Univ, Dept Math tr
dc.contributor.department Univ Pretoria, Dept Math & Appl Math tr
dc.identifier.endpage 883 tr
dc.identifier.issue 3 tr
dc.identifier.startpage 867 tr
dc.identifier.volume 83 tr
dc.source.title NUMERICAL ALGORITHMS tr


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