Sensitivity analysis for a new class of generalized parametric nonlinear ordered variational inequality problems in ordered Banach spaces

Abstract In this study, we introduce a class of new generalized parametric nonlinear ordered variational inequality problems and discuss its existence result. Also, we prove the sensitivity of the solution for the parametric inequality class with the help of B-restricted-accretive method in ordered...

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Main Authors:	Kottakkaran Sooppy Nisar, Mohd. Sarfaraz, Ahmed Morsy, Md. Kalimuddin Ahmad
Format:	Article
Language:	English
Published:	SpringerOpen 2019-09-01
Series:	Journal of Inequalities and Applications
Subjects:	Sensitivity analysis Variational inequality Parametric Ordered Banach spaces Restricted-accretive
Online Access:	http://link.springer.com/article/10.1186/s13660-019-2200-x

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spelling	doaj-4f3cc3a7b91c4307ae7cf17535959ec62020-11-25T03:27:07ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-09-012019111010.1186/s13660-019-2200-xSensitivity analysis for a new class of generalized parametric nonlinear ordered variational inequality problems in ordered Banach spacesKottakkaran Sooppy Nisar0Mohd. Sarfaraz1Ahmed Morsy2Md. Kalimuddin Ahmad3Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz UniversityDepartment of Mathematics, Aligarh Muslim UniversityDepartment of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz UniversityDepartment of Mathematics, Aligarh Muslim UniversityAbstract In this study, we introduce a class of new generalized parametric nonlinear ordered variational inequality problems and discuss its existence result. Also, we prove the sensitivity of the solution for the parametric inequality class with the help of B-restricted-accretive method in ordered Banach spaces. Some special cases of the main results are also discussed.http://link.springer.com/article/10.1186/s13660-019-2200-xSensitivity analysisVariational inequalityParametricOrdered Banach spacesRestricted-accretive
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Kottakkaran Sooppy Nisar Mohd. Sarfaraz Ahmed Morsy Md. Kalimuddin Ahmad
spellingShingle	Kottakkaran Sooppy Nisar Mohd. Sarfaraz Ahmed Morsy Md. Kalimuddin Ahmad Sensitivity analysis for a new class of generalized parametric nonlinear ordered variational inequality problems in ordered Banach spaces Journal of Inequalities and Applications Sensitivity analysis Variational inequality Parametric Ordered Banach spaces Restricted-accretive
author_facet	Kottakkaran Sooppy Nisar Mohd. Sarfaraz Ahmed Morsy Md. Kalimuddin Ahmad
author_sort	Kottakkaran Sooppy Nisar
title	Sensitivity analysis for a new class of generalized parametric nonlinear ordered variational inequality problems in ordered Banach spaces
title_short	Sensitivity analysis for a new class of generalized parametric nonlinear ordered variational inequality problems in ordered Banach spaces
title_full	Sensitivity analysis for a new class of generalized parametric nonlinear ordered variational inequality problems in ordered Banach spaces
title_fullStr	Sensitivity analysis for a new class of generalized parametric nonlinear ordered variational inequality problems in ordered Banach spaces
title_full_unstemmed	Sensitivity analysis for a new class of generalized parametric nonlinear ordered variational inequality problems in ordered Banach spaces
title_sort	sensitivity analysis for a new class of generalized parametric nonlinear ordered variational inequality problems in ordered banach spaces
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2019-09-01
description	Abstract In this study, we introduce a class of new generalized parametric nonlinear ordered variational inequality problems and discuss its existence result. Also, we prove the sensitivity of the solution for the parametric inequality class with the help of B-restricted-accretive method in ordered Banach spaces. Some special cases of the main results are also discussed.
topic	Sensitivity analysis Variational inequality Parametric Ordered Banach spaces Restricted-accretive
url	http://link.springer.com/article/10.1186/s13660-019-2200-x
work_keys_str_mv	AT kottakkaransooppynisar sensitivityanalysisforanewclassofgeneralizedparametricnonlinearorderedvariationalinequalityproblemsinorderedbanachspaces AT mohdsarfaraz sensitivityanalysisforanewclassofgeneralizedparametricnonlinearorderedvariationalinequalityproblemsinorderedbanachspaces AT ahmedmorsy sensitivityanalysisforanewclassofgeneralizedparametricnonlinearorderedvariationalinequalityproblemsinorderedbanachspaces AT mdkalimuddinahmad sensitivityanalysisforanewclassofgeneralizedparametricnonlinearorderedvariationalinequalityproblemsinorderedbanachspaces
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Sensitivity analysis for a new class of generalized parametric nonlinear ordered variational inequality problems in ordered Banach spaces

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