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References (35)
-
Minimax and variational inequalities : are they of fixed - point or Hahn - Banach type ? -
K. Fan (1961)
A generalization of Tychonoff's fixed point theoremMathematische Annalen, 142
-
Bronisław Knaster, Casimir Kuratowski, Stefan Mazurkiewicz
Ein Beweis des Fixpunktsatzes für n-dimensionale SimplexeFundamenta Mathematicae, 14
-
Yongle Zhang, Yiran He (2011)
On stably quasimonotone hemivariational inequalitiesFuel and Energy Abstracts
-
P. Panagiotopoulos (1993)
Hemivariational Inequalities: Applications in Mechanics and Engineering -
H. Lisei, Andrea Molnár, C. Varga (2011)
On a class of inequality problems with lack of compactnessJournal of Mathematical Analysis and Applications, 378
-
A. Nagurney (2009)
Variational Inequalities -
Kennesaw GA30144 USA e-mail: acroicu@kennesaw -
P. Panagiotopoulos, M. Fundo, Vicentiu Rădulescu (1999)
Existence Theorems of Hartman–Stampacchia Type for Hemivariational Inequalities and ApplicationsJournal of Global Optimization, 15
-
S Simons (1981)
Game Theory and Mathematical Economics -
P. Panagiotopoulos, Zdzistaw Naniewicz (1994)
Mathematical Theory of Hemivariational Inequalities and Applications -
J. Aubin (1993)
Optima and Equilibria -
P. Panagiotopoulos (1985)
Inequality problems in mechanics and applications -
P. Panagiotopoulos (1985)
Nonconvex Problems of Semipermeable Media and Related Topics1985
-
D. Motreanu, V. Raeadulescu (2003)
Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems -
O. Chadli, Z. Chbani, H. Riahi (2000)
Equilibrium Problems with Generalized Monotone Bifunctions and Applications to Variational InequalitiesJournal of Optimization Theory and Applications, 105
-
(1966)
On some nonlinear elliptic differential equations -
G Kassay, J Kolumban (2000)
Variational inequalities given by semi-pseudomonotone mapsNonlinear Anal. Forum, 5
-
H. Brezis, L. Nirenberg, G. Stampacchia (2008)
A remark on Ky fan's minimax principleBollettino Della Unione Matematica Italiana, 1
-
D. Motreanu, V. Rǎdulescu (2003)
Existence Results for Inequality Problems with Lack of Convexity∗ -
D Kinderlehrer, G Stampacchia (1980)
An Introduction to Variational Inequalities -
A. Croicu, J. Kolumbán (2018)
On a Generalized Hemivariational Inequality on Banach SpacesResults in Mathematics, 73
-
J. Aubin, I. Ekeland (1984)
Applied Nonlinear Analysis -
D. Motreanu, P. Panagiotopoulos (1998)
Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities -
Y Zhang, Y He (2011)
On stably quasimonotone hemivariational inequalitiesNonlinear Anal., 74
-
P. Panagiotopoulos (1985)
Inequality Problems in Mechanics and Applications: Convex and Nonconvex Energy Functions -
Nicuşor Costea, Cezar Lupu (2009)
On a class of variational-hemivariational inequalities involving set valued mappings, 1
-
A. Croicu (2002)
On a Generalized Hemivariational Inequality on Reflexive Banach Spaces, 22
-
A. Croicu (2002)
ON THE EIGENVALUE PROBLEM FOR A GENERALIZED HEMIVARIATIONAL INEQUALITY -
P. Panagiotopoulos (1989)
Semicoercive hemivariational inequalities. On the delamination of composite platesQuarterly of Applied Mathematics, 47
-
J. Aubin (1993)
Optima and Equilibria: An Introduction to Nonlinear Analysis -
L. Gasiński, Nikolaos Papageorgiou (2004)
Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems -
(1964)
Problemi elastostatici con vincoli unilaterali: il problema di signorini con ambigue conditioni al contorno -
P. Panagiotopoulos (1983)
Nonconvex energy functions. Hemivariational inequalities and substationarity principlesActa Mechanica, 48
-
PD Panagiotopoulos (1988)
Topics in Nonsmooth Mechanics
- Publisher
- Springer Journals
- Copyright
- Copyright © 2018 by Springer International Publishing AG, part of Springer Nature
- Subject
- Mathematics; Mathematics, general
- ISSN
- 1422-6383
- eISSN
- 1420-9012
- DOI
- 10.1007/s00025-018-0848-z
- Publisher site
- See Article on Publisher Site
Abstract
In this paper we prove two existence theorems for a generalized hemivariational inequality involving set-valued mappings of two variables in Banach spaces. In order to prove the results, we make use of the well-known Ky Fan’s Intersection Theorem and Simon’s Minimax Theorem. To illustrate the generality and applicability of the two existence theorems, several applications are provided at the end of the paper.
Journal
Results in Mathematics – Springer Journals
Published: May 31, 2018