Gap functions and error bounds for random generalized variational inequality problems
Abstract This paper is devoted to the study of gap functions of random generalized variational inequality problems in a fuzzy environment. Further by using the residual vector we compute error bounds for random generalized variational inequality problems and we generalize the regularized gap functio...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2016-02-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-0984-5 |
| _version_ | 1818127482698596352 |
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| author | Suhel Ahmad Khan Javid Iqbal Yekini Shehu |
| author_facet | Suhel Ahmad Khan Javid Iqbal Yekini Shehu |
| author_sort | Suhel Ahmad Khan |
| collection | DOAJ |
| description | Abstract This paper is devoted to the study of gap functions of random generalized variational inequality problems in a fuzzy environment. Further by using the residual vector we compute error bounds for random generalized variational inequality problems and we generalize the regularized gap functions proposed by Fukushima. Furthermore we study various properties of the generalized regularized gap functions in random fuzzy mappings and derive the global error bounds for random generalized variational inequality problems. Our results are new and generalize a number of known results to generalized variational inequality problems with fuzzy mappings. |
| first_indexed | 2024-12-11T07:18:04Z |
| format | Article |
| id | doaj.art-98d8b955357c4b17813b45bfdbae0264 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-11T07:18:04Z |
| publishDate | 2016-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-98d8b955357c4b17813b45bfdbae02642022-12-22T01:16:11ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-02-012016111710.1186/s13660-016-0984-5Gap functions and error bounds for random generalized variational inequality problemsSuhel Ahmad Khan0Javid Iqbal1Yekini Shehu2Department of Mathematics, BITS-PilaniSchool of Mathematical Sciences and Engineering, Baba Ghulam Shah Badshah UniversityDepartment of Mathematics, University of NigeriaAbstract This paper is devoted to the study of gap functions of random generalized variational inequality problems in a fuzzy environment. Further by using the residual vector we compute error bounds for random generalized variational inequality problems and we generalize the regularized gap functions proposed by Fukushima. Furthermore we study various properties of the generalized regularized gap functions in random fuzzy mappings and derive the global error bounds for random generalized variational inequality problems. Our results are new and generalize a number of known results to generalized variational inequality problems with fuzzy mappings.http://link.springer.com/article/10.1186/s13660-016-0984-5random fuzzy mappingstrongly h-monotonegap functionregularized gap functionglobal error bound |
| spellingShingle | Suhel Ahmad Khan Javid Iqbal Yekini Shehu Gap functions and error bounds for random generalized variational inequality problems Journal of Inequalities and Applications random fuzzy mapping strongly h-monotone gap function regularized gap function global error bound |
| title | Gap functions and error bounds for random generalized variational inequality problems |
| title_full | Gap functions and error bounds for random generalized variational inequality problems |
| title_fullStr | Gap functions and error bounds for random generalized variational inequality problems |
| title_full_unstemmed | Gap functions and error bounds for random generalized variational inequality problems |
| title_short | Gap functions and error bounds for random generalized variational inequality problems |
| title_sort | gap functions and error bounds for random generalized variational inequality problems |
| topic | random fuzzy mapping strongly h-monotone gap function regularized gap function global error bound |
| url | http://link.springer.com/article/10.1186/s13660-016-0984-5 |
| work_keys_str_mv | AT suhelahmadkhan gapfunctionsanderrorboundsforrandomgeneralizedvariationalinequalityproblems AT javidiqbal gapfunctionsanderrorboundsforrandomgeneralizedvariationalinequalityproblems AT yekinishehu gapfunctionsanderrorboundsforrandomgeneralizedvariationalinequalityproblems |