Results 21 to 30 of about 4,296,326 (254)
Generalized variational inequalities and generalized quasi-variational inequalities
Journal of Mathematical Analysis and Applications, 1990 AbstractA very general minimax inequality is first established. Three generalized variational inequalities are then derived, which improve those obtained by Tan and Browder. By applying a fixed point theorem of Himmelberg, two generalized quasi-variational inequalities are also proved, one of which generalizes those of Shih-Tan to the non-compact case ...
Xie Ping Ding, Kok-Keong Tan
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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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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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Differential variational inequalities [PDF]
Mathematical Programming, 2007 This paper introduces and studies the class of differential variational inequalities (DVIs) in a finite-dimensional Euclidean space. The DVI provides a powerful modeling paradigm for many applied problems in which dynamics, inequalities, and discontinuities are present; examples of such problems include constrained time-dependent physical systems with ...
Jong-Shi Pang, David E. Stewart
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A variational proof of Nash’s inequality [PDF]
Rendiconti Lincei, Matematica e Applicazioni, 2020 This paper is intended to give a characterization of the optimality case in Nash’s inequality, based on methods of nonlinear analysis for elliptic equations and techniques of the calculus of variations. By embedding the problem into a family of Gagliardo–Nirenberg inequalities, this approach reveals why optimal functions have compact support and also ...
Bouin, Emeric +2 more
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Fixed Point Theory, 2019 In this paper, we consider the problem of solving a general system of variational inequalities (GSVI) with a hierarchical variational inequality (HVI) constraint for countably many uniformly Lipschitzian pseudocontractive mappings and an accretive ...
L. Ceng +3 more
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Some New Classes of Extended General Mixed Quasi-Variational Inequalities
Abstract and Applied Analysis, 2012 We consider and study a new class of variational inequality, which is called the extended general mixed quas-variational inequality. We use the auxiliary principle technique to study the existence of a solution of the extended general mixed quasi ...
Muhammad Aslam Noor, Khalida Inayat Noor
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Mathematics, 2019 This paper discusses a monotone variational inequality problem with a variational inequality constraint over the common solution set of a general system of variational inequalities (GSVI) and a common fixed point (CFP) of a countable family of ...
Lu-Chuan Ceng, Xiaoye Yang
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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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A New Gap Function for Vector Variational Inequalities with an Application
Journal of Applied Mathematics, 2013 We consider a vector variational inequality in a finite-dimensional space. A new gap function is proposed, and an equivalent optimization problem for the vector variational inequality is also provided.
Hui-qiang Ma +3 more
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