Results 11 to 20 of about 503 (112)

Vector Optimization Problems and Generalized Vector Variational-Like Inequalities [PDF]

Sahand Communications in Mathematical Analysis, 2020
In this paper, some properties of  pseudoinvex functions, defined by means of  limiting subdifferential, are discussed. Furthermore, the Minty vector variational-like inequality,  the Stampacchia vector variational-like inequality, and the  weak ...
Ildar Sadeqi, Somayeh Nadi
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Variational-like inequalities for n-dimensional fuzzy-vector-valued functions and fuzzy optimization

Open Mathematics, 2019
The existing results on the variational inequality problems for fuzzy mappings and their applications were based on Zadeh’s decomposition theorem and were formally characterized by the precise sets which are the fuzzy mappings’ cut sets directly. That is,
Xie Ting, Gong Zengtai
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Weak convergence theorem for a class of split variational inequality problems and applications in a Hilbert space

Journal of Inequalities and Applications, 2017
In this paper, we consider the algorithm proposed in recent years by Censor, Gibali and Reich, which solves split variational inequality problem, and Korpelevich’s extragradient method, which solves variational inequality problems. As our main result, we
Ming Tian, Bing-Nan Jiang
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Hybrid Mann Viscosity Implicit Iteration Methods for Triple Hierarchical Variational Inequalities, Systems of Variational Inequalities and Fixed Point Problems

Mathematics, 2019
In the present work, we introduce a hybrid Mann viscosity-like implicit iteration to find solutions of a monotone classical variational inequality with a variational inequality constraint over the common solution set of a general system of variational ...
Lu-Chuan Ceng, Qing Yuan
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Generalized Nonsmooth Exponential-Type Vector Variational-Like Inequalities and Nonsmooth Vector Optimization Problems in Asplund Spaces

Mathematics, 2019
The aim of this article is to study new types of generalized nonsmooth exponential type vector variational-like inequality problems involving Mordukhovich limiting subdifferential operator.
Syed Shakaib Irfan, Mijanur Rahaman, Iqbal Ahmad, Rais Ahmad, Saddam Husain   +4 more
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Tykhonov well-posedness of split problems

Journal of Inequalities and Applications, 2020
In (J. Optim. Theory Appl. 183:139–157, 2019) we introduced and studied the concept of well-posedness in the sense of Tykhonov for abstract problems formulated on metric spaces. Our aim of this current paper is to extend the results in (J. Optim.
Qiao-yuan Shu, Mircea Sofonea, Yi-bin Xiao   +2 more
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Variational Inequality Problems with a Continuum of Solutions: Existence and Computation [PDF]

SIAM Journal on Control and Optimization, 2000
Summary: In this paper three sufficient conditions are provided under each of which an upper semicontinuous point-to-set mapping defined on an arbitrary polytope has a connected set of zero points that connect two distinct faces of the polytope. Furthermore, we obtain an existence theorem of a connected set of solutions to a nonlinear variational ...
P. Jean-Jacques Herings, Dolf Talman, Zaifu Yang   +2 more
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Strong Convergence of an Inertial Iterative Algorithm for Generalized Mixed Variational-like Inequality Problem and Bregman Relatively Nonexpansive Mapping in Reflexive Banach Space

Journal of Mathematics, 2021
In this paper, we consider a generalized mixed variational-like inequality problem and prove a Minty-type lemma for its related auxiliary problems in a real Banach space.
Saud Fahad Aldosary, Watcharaporn Cholamjiak, Rehan Ali, Mohammad Farid   +3 more
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Inverse problems for quasi-variational inequalities

Journal of Global Optimization, 2017
In this short note, our aim is to investigate the inverse problem of parameter identification in quasi-variational inequalities. We develop an abstract nonsmooth regularization approach that subsumes the total variation regularization and permits the identification of discontinuous parameters.
Akhtar A. Khan, Dumitru Motreanu
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Some results concerning the solution mappings of mixed variational inequality problems

Journal of Inequalities and Applications, 2016
This paper shows some continuities of mappings between the space of mixed variational inequality problems and the graph space of their solution mappings.
Qi-Qing Song, Hui Yang
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