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Convergence Results for Elliptic Variational-Hemivariational Inequalities

Advances in Nonlinear Analysis, 2020
We consider an elliptic variational-hemivariational inequality 𝓟 in a reflexive Banach space, governed by a set of constraints K, a nonlinear operator A, and an element f.
Cai Dong-ling, Sofonea Mircea, Xiao Yi-bin   +2 more
doaj   +1 more source

Well-Posedness by Perturbations for Variational-Hemivariational Inequalities [PDF]

, 2020
We generalize the concept of well-posedness by perturbations for optimization problem to a class of variational-hemivariational inequalities. We establish some metric characterizations of the well-posedness by perturbations for the variational ...
Yi-Bin Xiao, Zhi-Bin Liu, Shu Lv, Xue-Song Li   +3 more
core  

Noncoercive Perturbed Densely Defined Operators and Application to Parabolic Problems

Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015
Let X be a real locally uniformly convex reflexive separable Banach space with locally uniformly convex dual space X∗. Let T:X⊇D(T)→2X∗ be maximal monotone and S : X⊇D(S) → X∗ quasibounded generalized pseudomonotone such that there exists a real reflexive separable Banach space W ⊂ D(S), dense and continuously embedded in X. Assume, further, that there
Teffera M. Asfaw, Naseer Shahzad
wiley   +1 more source

On a Class of Variational‐Hemivariational Inequalities Involving Upper Semicontinuous Set‐Valued Mappings

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
This paper is devoted to the various coercivity conditions in order to guarantee existence of solutions and boundedness of the solution set for the variational‐hemivariational inequalities involving upper semicontinuous operators. The results presented in this paper generalize and improve some known results.
Guo-ji Tang, Zhong-bao Wang, Hong-ling Zhang, Fu-quan Xia   +3 more
wiley   +1 more source

A class of variational-hemivariational inequalities for Bingham type fluids [PDF]

, 2022
In this paper we investigate a new class of elliptic variational–hemivariational inequal ities without the relaxed monotonicity condition of the generalized subgradient.
Migórski, Stanisław, Dudek, Sylwia, Stanisław Migórski, Sylwia Dudek   +3 more
core   +1 more source

Evolution of the Minimax Inequality of Ky Fan

Journal of Operators, Volume 2013, Issue 1, 2013., 2013
There are quite a few generalizations or applications of the 1984 minimax inequality of Ky Fan compared with his original 1972 minimax inequality. In a certain sense, the relationship between the 1984 inequality and several hundreds of known generalizations of the original 1972 inequality has not been recognized for a long period.
Sehie Park, Ram U. Verma
wiley   +1 more source

Optimal Control of Parabolic Hemivariational Inequalities

Journal of Global Optimization, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Migórski, Stanisław, Ochal, Anna
openaire   +4 more sources

Optimal Controls of Second‐Order Delayed Differential Systems Governed by Clarke Subdifferential and History‐Dependent Hemivariational Inequalities

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper investigates the existence of mild solutions and optimal controls for a class of second‐order delayed neutral nonautonomous evolution systems involving hemivariational inequalities, history‐dependent operators, and Clarke′s generalized subdifferential in Hilbert spaces. The novelty of the proposed framework lies in the simultaneous treatment
Hasanen A. Hammad, M. Basher, Manuel De la Sen, UDHAYAKUMAR Ramalingam   +3 more
wiley   +1 more source

A System of Generalized Variational‐Hemivariational Inequalities with Set‐Valued Mappings

Journal of Applied Mathematics, Volume 2013, Issue 1, 2013., 2013
By using surjectivity theorem of pseudomonotone and coercive operators rather than the KKM theorem and fixed point theorem used in recent literatures, we obtain some conditions under which a system of generalized variational‐hemivariational inequalities concerning set‐valued mappings, which includes as special cases many problems of hemivariational ...
Zhi-bin Liu, Jian-hong Gou, Yi-bin Xiao, Xue-song Li, Shih-sen Chang   +4 more
wiley   +1 more source

Analysis of Stokes system with solution-dependent subdifferential boundary conditions

Fixed Point Theory and Algorithms for Sciences and Engineering, 2021
We study the Stokes problem for the incompressible fluid with mixed nonlinear boundary conditions of subdifferential type. The latter involve a unilateral boundary condition, the Navier slip condition, a nonmonotone version of the nonlinear Navier–Fujita
Jing Zhao, Stanisław Migórski, Sylwia Dudek   +2 more
doaj   +1 more source