HÖLDER CONTINUITY AND UPPER BOUND RESULTS FOR GENERALIZED PARAMETRIC ELLIPTICAL VARIATIONAL-HEMIVARIATIONAL INEQUALITIES

Vo Minh Tam; Chen Jein-Shan

doi:10.23952/jnva.8.2024.2.08

HÖLDER CONTINUITY AND UPPER BOUND RESULTS FOR GENERALIZED PARAMETRIC ELLIPTICAL VARIATIONAL-HEMIVARIATIONAL INEQUALITIES

Vo Minh Tam^*, Chen Jein-Shan^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The main purpose of this paper is to investigate the upper bound and Hölder continuity for a general class of parametric elliptical variational-hemivariational inequalities via regularized gap functions. More precisely, we deliver a formulation of the elliptical variational-hemivariational inequalities in the case of the perturbed parameters governed by both the set of constraints and the mappings (for brevity, PEVHI (CM)). Based on the arguments of monotonicity and properties of the Clarke’s generalized directional derivative, we establish an upper bound result for the PEVHI (CM) and provide the Hölder continuity of the solution mapping for the PEVHI (CM) under suitable assumptions on the data.

Original language	English
Pages (from-to)	315-332
Number of pages	18
Journal	Journal of Nonlinear and Variational Analysis
Volume	8
Issue number	2
DOIs	https://doi.org/10.23952/jnva.8.2024.2.08
Publication status	Published - 2024 Apr 1

Keywords

Hölder continuity
Parametric elliptical variational–hemivariational inequality
Regularized gap function
Upper bound

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.23952/jnva.8.2024.2.08

Cite this

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title = "H{\"O}LDER CONTINUITY AND UPPER BOUND RESULTS FOR GENERALIZED PARAMETRIC ELLIPTICAL VARIATIONAL-HEMIVARIATIONAL INEQUALITIES",

abstract = "The main purpose of this paper is to investigate the upper bound and H{\"o}lder continuity for a general class of parametric elliptical variational-hemivariational inequalities via regularized gap functions. More precisely, we deliver a formulation of the elliptical variational-hemivariational inequalities in the case of the perturbed parameters governed by both the set of constraints and the mappings (for brevity, PEVHI (CM)). Based on the arguments of monotonicity and properties of the Clarke{\textquoteright}s generalized directional derivative, we establish an upper bound result for the PEVHI (CM) and provide the H{\"o}lder continuity of the solution mapping for the PEVHI (CM) under suitable assumptions on the data.",

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author = "Tam, {Vo Minh} and Chen Jein-Shan",

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AU - Tam, Vo Minh

AU - Jein-Shan, Chen

PY - 2024/4/1

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N2 - The main purpose of this paper is to investigate the upper bound and Hölder continuity for a general class of parametric elliptical variational-hemivariational inequalities via regularized gap functions. More precisely, we deliver a formulation of the elliptical variational-hemivariational inequalities in the case of the perturbed parameters governed by both the set of constraints and the mappings (for brevity, PEVHI (CM)). Based on the arguments of monotonicity and properties of the Clarke’s generalized directional derivative, we establish an upper bound result for the PEVHI (CM) and provide the Hölder continuity of the solution mapping for the PEVHI (CM) under suitable assumptions on the data.

AB - The main purpose of this paper is to investigate the upper bound and Hölder continuity for a general class of parametric elliptical variational-hemivariational inequalities via regularized gap functions. More precisely, we deliver a formulation of the elliptical variational-hemivariational inequalities in the case of the perturbed parameters governed by both the set of constraints and the mappings (for brevity, PEVHI (CM)). Based on the arguments of monotonicity and properties of the Clarke’s generalized directional derivative, we establish an upper bound result for the PEVHI (CM) and provide the Hölder continuity of the solution mapping for the PEVHI (CM) under suitable assumptions on the data.

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KW - Parametric elliptical variational–hemivariational inequality

KW - Regularized gap function

KW - Upper bound

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HÖLDER CONTINUITY AND UPPER BOUND RESULTS FOR GENERALIZED PARAMETRIC ELLIPTICAL VARIATIONAL-HEMIVARIATIONAL INEQUALITIES

Abstract

Keywords

ASJC Scopus subject areas

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