Approximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces
This paper introduces an implicit scheme for a continuous representation of nonexpansive mappings on a closed convex subset of a Hilbert space with respect to a sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup. The main r...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2017-04-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | http://scma.maragheh.ac.ir/article_22988_6164b5942bd9d9914849f5c337fac6fa.pdf |
| _version_ | 1828969435046608896 |
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| author | Ebrahim Soori |
| author_facet | Ebrahim Soori |
| author_sort | Ebrahim Soori |
| collection | DOAJ |
| description | This paper introduces an implicit scheme for a continuous representation of nonexpansive mappings on a closed convex subset of a Hilbert space with respect to a sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup. The main result is to prove the strong convergence of the proposed implicit scheme to the unique solution of the variational inequality on the solution of systems of equilibrium problems and the common fixed points of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings. |
| first_indexed | 2024-12-14T12:30:40Z |
| format | Article |
| id | doaj.art-355974f8116545f8836f9bf3f9786d44 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-12-14T12:30:40Z |
| publishDate | 2017-04-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-355974f8116545f8836f9bf3f9786d442022-12-21T23:01:12ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002017-04-0161496822988Approximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spacesEbrahim Soori0Department of Mathematics, Lorestan University, P.O. Box 465, Khoramabad, Lorestan, Iran.This paper introduces an implicit scheme for a continuous representation of nonexpansive mappings on a closed convex subset of a Hilbert space with respect to a sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup. The main result is to prove the strong convergence of the proposed implicit scheme to the unique solution of the variational inequality on the solution of systems of equilibrium problems and the common fixed points of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings.http://scma.maragheh.ac.ir/article_22988_6164b5942bd9d9914849f5c337fac6fa.pdfContinuous representationFixed pointEquilibrium problemNonexpansive mappingVariational inequality |
| spellingShingle | Ebrahim Soori Approximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces Sahand Communications in Mathematical Analysis Continuous representation Fixed point Equilibrium problem Nonexpansive mapping Variational inequality |
| title | Approximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces |
| title_full | Approximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces |
| title_fullStr | Approximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces |
| title_full_unstemmed | Approximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces |
| title_short | Approximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces |
| title_sort | approximation of fixed points for a continuous representation of nonexpansive mappings in hilbert spaces |
| topic | Continuous representation Fixed point Equilibrium problem Nonexpansive mapping Variational inequality |
| url | http://scma.maragheh.ac.ir/article_22988_6164b5942bd9d9914849f5c337fac6fa.pdf |
| work_keys_str_mv | AT ebrahimsoori approximationoffixedpointsforacontinuousrepresentationofnonexpansivemappingsinhilbertspaces |