New results on system of variational inequalities and fixed point theorem
In (Croat. Oper. Res. Rev, 13(1), 131-135, (2022).) A. Benhadid showed by a counterexample that a number of publications in the research on the variational inequalities system contains inaccurate results about applying the Lipschitz continuity concept in relation to both the first and second variabl...
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| Format: | Article |
| Language: | English |
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Croatian Operational Research Society
2025-01-01
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| Series: | Croatian Operational Research Review |
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| Online Access: | https://hrcak.srce.hr/file/473263 |
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| _version_ | 1832540842155311104 |
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| author | Ayache Benhadid Mahmoud Brahimi |
| author_facet | Ayache Benhadid Mahmoud Brahimi |
| author_sort | Ayache Benhadid |
| collection | DOAJ |
| description | In (Croat. Oper. Res. Rev, 13(1), 131-135, (2022).) A. Benhadid showed by a counterexample that a number of publications in the research on the variational inequalities system contains inaccurate results about applying the Lipschitz continuity concept in relation to both the first and second variables during the proof of the main theorem on the part of authors. In this paper, We suggest to applying fixed point theorem to correct the main results of some publications. |
| format | Article |
| id | doaj-art-98b722761d194affa9044ec946b8f398 |
| institution | Kabale University |
| issn | 1848-0225 1848-9931 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Croatian Operational Research Society |
| record_format | Article |
| series | Croatian Operational Research Review |
| spelling | doaj-art-98b722761d194affa9044ec946b8f3982025-02-04T14:04:59ZengCroatian Operational Research SocietyCroatian Operational Research Review1848-02251848-99312025-01-01161455110.17535/crorr.2025.0004New results on system of variational inequalities and fixed point theoremAyache Benhadid0Mahmoud Brahimi1Department of Mathematics, Faculty of Mathematics and Computer Science, Batna 2 University, Batna, Algeria.Department of Mathematics, Faculty of Mathematics and Computer Science, Batna 2 University, Batna, Algeria.In (Croat. Oper. Res. Rev, 13(1), 131-135, (2022).) A. Benhadid showed by a counterexample that a number of publications in the research on the variational inequalities system contains inaccurate results about applying the Lipschitz continuity concept in relation to both the first and second variables during the proof of the main theorem on the part of authors. In this paper, We suggest to applying fixed point theorem to correct the main results of some publications.https://hrcak.srce.hr/file/473263fixed point problemrelaxed (e1, e2)-cocoercive mappingsvariational inequalities system’s with nonlinear mappings |
| spellingShingle | Ayache Benhadid Mahmoud Brahimi New results on system of variational inequalities and fixed point theorem Croatian Operational Research Review fixed point problem relaxed (e1, e2)-cocoercive mappings variational inequalities system’s with nonlinear mappings |
| title | New results on system of variational inequalities and fixed point theorem |
| title_full | New results on system of variational inequalities and fixed point theorem |
| title_fullStr | New results on system of variational inequalities and fixed point theorem |
| title_full_unstemmed | New results on system of variational inequalities and fixed point theorem |
| title_short | New results on system of variational inequalities and fixed point theorem |
| title_sort | new results on system of variational inequalities and fixed point theorem |
| topic | fixed point problem relaxed (e1, e2)-cocoercive mappings variational inequalities system’s with nonlinear mappings |
| url | https://hrcak.srce.hr/file/473263 |
| work_keys_str_mv | AT ayachebenhadid newresultsonsystemofvariationalinequalitiesandfixedpointtheorem AT mahmoudbrahimi newresultsonsystemofvariationalinequalitiesandfixedpointtheorem |