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Gap functions for quasi-variational inequalities via duality [PDF]
Journal of Inequalities and Applications, 2018 This paper deals with an application of duality theory in optimization to the construction of gap functions for quasi-variational inequalities. The same approach was investigated for variational inequalities and equilibrium problems in (Pac. J. Optim.
L Altangerel
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Aggregative Variational Inequalities
Journal of Optimization Theory and Applications, 2023 AbstractWe enrich the theory of variational inequalities in the case of an aggregative structure by implementing recent results obtained by using the Selten–Szidarovszky technique. We derive existence, semi-uniqueness and uniqueness results for solutions and provide a computational method. As an application we derive very powerful practical equilibrium
von Mouche, Peter Hubert Mathieu +1 more
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Novel Algorithms for Solving a System of Absolute Value Variational Inequalities
Journal of Function Spaces, 2022 The goal of this paper is to study a new system of a class of variational inequalities termed as absolute value variational inequalities. Absolute value variational inequalities present a rational, pragmatic, and novel framework for investigating a wide ...
Safeera Batool +4 more
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Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational-Like Inequalities
Journal of Inequalities and Applications, 2009 We introduce and study a class of generalized strongly nonlinear mixed variational-like inequalities, which includes several classes of variational inequalities and variational-like inequalities as special cases.
Zeqing Liu +3 more
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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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Some Aspects of Extended General Variational Inequalities
Abstract and Applied Analysis, 2012 Noor (“Extended general variational inequalities,” 2009, “Auxiliary principle technique for extended general variational inequalities,” 2008, “Sensitivity analysis of extended general variational inequalities,” 2009, “Projection iterative methods for ...
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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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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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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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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