New Iteration Algorithms for Solving Equilibrium Problems and Fixed Point Problems of Two Finite Families of Asymptotically Demicontractive Multivalued Mappings
ln this paper, we introduce a new class of mapping called asymptotically demicontractive multivalued mapping in the setting of a real Hilbert space. Furthermore, a new iteration scheme was constructed, and it was proved that our algorithm converges strongly to the common element of solutions of an e...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2023-03-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_701674_9bd96014cdf397b43152f82b0b5338f1.pdf |
| _version_ | 1797666583255973888 |
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| author | Imo Agwu Donatus Igbokwe |
| author_facet | Imo Agwu Donatus Igbokwe |
| author_sort | Imo Agwu |
| collection | DOAJ |
| description | ln this paper, we introduce a new class of mapping called asymptotically demicontractive multivalued mapping in the setting of a real Hilbert space. Furthermore, a new iteration scheme was constructed, and it was proved that our algorithm converges strongly to the common element of solutions of an equilibrium problem and the set of common fixed points of two finite families of type-one asymptotically demicontractive multivalued mappings without any sum conditions imposed on the finite family of the control sequences. Also, we provided a numerical example to demonstratethe implementablity of our proposed iteration technique. Our results improve, extend and generalize many recently announced results in the current |
| first_indexed | 2024-03-11T20:00:28Z |
| format | Article |
| id | doaj.art-6ed8087b6fba472dbaf884d8faa8ee9d |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-03-11T20:00:28Z |
| publishDate | 2023-03-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-6ed8087b6fba472dbaf884d8faa8ee9d2023-10-04T08:29:36ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002023-03-0120213810.22130/scma.2022.531263.939701674New Iteration Algorithms for Solving Equilibrium Problems and Fixed Point Problems of Two Finite Families of Asymptotically Demicontractive Multivalued MappingsImo Agwu0Donatus Igbokwe1Department of Mathematics, Micheal Okpara University of Agriculture, Umudike, Umuahia, Abia State Nigeria.Department of Mathematics, Micheal Okpara University of Agriculture, Umudike, Umuahia, Abia State Nigeria.ln this paper, we introduce a new class of mapping called asymptotically demicontractive multivalued mapping in the setting of a real Hilbert space. Furthermore, a new iteration scheme was constructed, and it was proved that our algorithm converges strongly to the common element of solutions of an equilibrium problem and the set of common fixed points of two finite families of type-one asymptotically demicontractive multivalued mappings without any sum conditions imposed on the finite family of the control sequences. Also, we provided a numerical example to demonstratethe implementablity of our proposed iteration technique. Our results improve, extend and generalize many recently announced results in the currenthttps://scma.maragheh.ac.ir/article_701674_9bd96014cdf397b43152f82b0b5338f1.pdfstrong convergencevariational inequalityasymptotically nonexpansive mappinghorizontal algorithmcommon fixed pointbanach space |
| spellingShingle | Imo Agwu Donatus Igbokwe New Iteration Algorithms for Solving Equilibrium Problems and Fixed Point Problems of Two Finite Families of Asymptotically Demicontractive Multivalued Mappings Sahand Communications in Mathematical Analysis strong convergence variational inequality asymptotically nonexpansive mapping horizontal algorithm common fixed point banach space |
| title | New Iteration Algorithms for Solving Equilibrium Problems and Fixed Point Problems of Two Finite Families of Asymptotically Demicontractive Multivalued Mappings |
| title_full | New Iteration Algorithms for Solving Equilibrium Problems and Fixed Point Problems of Two Finite Families of Asymptotically Demicontractive Multivalued Mappings |
| title_fullStr | New Iteration Algorithms for Solving Equilibrium Problems and Fixed Point Problems of Two Finite Families of Asymptotically Demicontractive Multivalued Mappings |
| title_full_unstemmed | New Iteration Algorithms for Solving Equilibrium Problems and Fixed Point Problems of Two Finite Families of Asymptotically Demicontractive Multivalued Mappings |
| title_short | New Iteration Algorithms for Solving Equilibrium Problems and Fixed Point Problems of Two Finite Families of Asymptotically Demicontractive Multivalued Mappings |
| title_sort | new iteration algorithms for solving equilibrium problems and fixed point problems of two finite families of asymptotically demicontractive multivalued mappings |
| topic | strong convergence variational inequality asymptotically nonexpansive mapping horizontal algorithm common fixed point banach space |
| url | https://scma.maragheh.ac.ir/article_701674_9bd96014cdf397b43152f82b0b5338f1.pdf |
| work_keys_str_mv | AT imoagwu newiterationalgorithmsforsolvingequilibriumproblemsandfixedpointproblemsoftwofinitefamiliesofasymptoticallydemicontractivemultivaluedmappings AT donatusigbokwe newiterationalgorithmsforsolvingequilibriumproblemsandfixedpointproblemsoftwofinitefamiliesofasymptoticallydemicontractivemultivaluedmappings |