Results 31 to 40 of about 71,651 (281)
On the Generalized Nonlinear Variational Inequalities and Quasi-Variational Inequalities
Journal of Mathematical Analysis and Applications, 1996 AbstractThe purpose of this paper is to investigate the existence of solutions for a class of generalized nonlinear inequalities (GNVI) and generalized nonlinear quasi-variational inequalities (GNQVI) with non-monotone set-valued operators defined on non-compact sets in locally convex Hausdorff topological vector spaces.
Su-Jane Yu, Jen-Chih Yao
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Existence of Solutions for η-Generalized Vector Variational-Like Inequalities
Journal of Inequalities and Applications, 2010 We introduce and study a class of η-generalized vector variational-like inequalities and a class of η-generalized strong vector variational-like inequalities in the setting of Hausdorff topological vector spaces.
Xi Li, Jong Kyu Kim, Nan-Jing Huang
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Fixed Point Theory and Applications, 2008 We introduce and study a new class of general nonlinear implicit variational inequalities, which includes several classes of variational inequalities and variational inclusions as special cases.
Jeong Sheok Ume +2 more
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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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Integral Inequalities and their Applications to the Calculus of Variations on Time Scales [PDF]
, 2010 We discuss the use of inequalities to obtain the solution of certain variational problems on time scales.Comment: To appear in Mathematical Inequalities & Applications (http://mia.ele-math.com).
Bohner, Martin J. +2 more
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Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities
Journal of Applied Mathematics, 2012 We use the auxiliary principle technique to suggest and analyze some iterative methods for solving a new class of variational inequalities, which is called the mixed trifunction variational inequality.
Muhammad Aslam Noor +2 more
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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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Support theorem for stochastic variational inequalities [PDF]
, 2010 We prove a support theorem of the type of Stroock-Varadhan for solutions of stochastic variational ...
Ren, Jiagang, Xu, Siyan
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Parametric Extended General Mixed Variational Inequalities
Journal of Applied Mathematics, 2012 It is well known that the resolvent equations are equivalent to the extended general mixed variational inequalities. We use this alternative equivalent formulation to study the sensitivity of the extended general mixed variational inequalities without ...
Muhammad Aslam Noor
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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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