Results 41 to 50 of about 677,364 (139)
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 +3 more
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Solvability of nonlinear variational–hemivariational inequalities
Journal of Mathematical Analysis and Applications, 2005 The paper presents an existence result for a homogeneous Dirichlet problem driven by the \(p\)-Laplacian and containing the difference of two multi-valued terms, one given by the generalized gradient of a locally Lipschitz functional and the other equal to the subdifferential of a convex, proper, lower semicontinuous functional.
Filippakis, Michael E. +1 more
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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
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A New Variational Inequality with its Application [PDF]
, 2009 In this paper, we suggest the iterative algorithm for a variational inequality by using the auxiliary principle technique, which is closely related to the optimal boundary control of time-varying population system with age-dependence and spatial ...
Shi, Chao-Feng
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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 +3 more
wiley +1 more source
Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities
Nonlinear Analysis, 2021 In this paper, we propose a new methodology to study evolutionary variational-hemivariational inequalities based on the theory of evolution equations governed by maximal monotone operators. More precisely, the proposed approach, based on a hidden maximal
Emilio Vilches, Shengda Zeng
doaj +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
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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 +4 more
wiley +1 more source
, 2021 The main purpose of this paper is threefold. One is to study the existence and convergence problem of solutions for a class of generalized mixed quasi-variational hemivariational inequalities.
Yunhe Zhao +5 more
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Multiplicity results to a class of variational-hemivariational inequalities [PDF]
Topological Methods in Nonlinear Analysis, 2016 This paper deals with variational-hemivariational inequalities involving the $p$-Laplace operator and a nonlinear Neumann boundary condition. Based on an abstract critical point result, which is developed at the beginning of the paper, it is shown the existence of at least three solutions to such inequalities whereby the cases $p> N$ and $p \leq N$ are
BONANNO, Gabriele, P. Winkert
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