Results 31 to 40 of about 332 (162)
Generalized Vector Variational Inequalities over Countable Product of Sets [PDF]
, 2004 Countable product of sets, Existence results, Relative pseudomonotonicity, Set-valued break mappings, Vector variational inequalities,
E. Allevi +9 more
core +2 more sources
Characterizations of pseudomonotone maps and economic equilibrium
Journal of Statistics and Management Systems, 2002 Summary: The paper surveys some recent contributions to the analysis of pseudomonotone maps and their application to economics. It is shown tht the concept of pseudomonotonicity is strongly related to a notion of rationality of consumer behaviour which is well known in economics as a weak version of the weak axiom of revealed preference.
Brighi, L., John, R.
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A General Class of Differential Hemivariational Inequalities Systems in Reflexive Banach Spaces
Mathematics, 2021 We consider an abstract system consisting of the parabolic-type system of hemivariational inequalities (SHVI) along with the nonlinear system of evolution equations in the frame of the evolution triple of product spaces, which is called a system of ...
Lu-Chuan Ceng +3 more
doaj +1 more source
On hemicontinuity of bifunctions for solving equilibrium problems
Advances in Nonlinear Analysis, 2014 This paper deals with solving equilibrium problems under local conditions on equilibrium bifunctions. Some techniques first considered for multivalued mixed variational inequalities are investigated and applied to equilibrium problems.
Alleche Boualem
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Variational inequalities governed by strongly pseudomonotone operators [PDF]
Optimization, 2021 Qualitative and quantitative aspects for variational inequalities governed by strongly pseudomonotone operators on Hilbert space are investigated in this paper. First, we establish a global error bound for the solution set of the given problem with the residual function being the normal map.
Pham Tien Kha, Pham Duy Khanh
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On Generalized Strong Vector Variational-Like Inequalities in Banach Spaces
Journal of Inequalities and Applications, 2007 The purpose of this paper is to study the solvability for a class of generalized strong vector variational-like inequalities in reflexive Banach spaces.
Lu-Chuan Ceng +2 more
doaj +2 more sources
Abstract and Applied Analysis, Volume 2017, Issue 1, 2017., 2017 Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ be maximal monotone, S:X→2X⁎ be bounded and of type (S+), and C : D(C) → X⁎ be compact with D(T)⊆D(C) such that C lies in Γστ (i.e., there exist σ ≥ 0 and τ ≥ 0 such that ‖Cx‖ ≤ τ‖x‖ + σ for all x ∈ D(C)).
Teffera M. Asfaw, Stanislaw Migorski
wiley +1 more source
Variational‐like inequalities for pseudomonotone operators [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 The aim of this note is to use a fixed point theorem to prove results for variational‐like inequalities for pseudomonotone operators.
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Journal of Inequalities and Applications, 2023 This paper introduces a triple-adaptive subgradient extragradient process with extrapolation to solve a bilevel split pseudomonotone variational inequality problem (BSPVIP) with the common fixed point problem constraint of finitely many nonexpansive ...
Lu-Chuan Ceng +3 more
doaj +1 more source
Journal of Function Spaces, Volume 2016, Issue 1, 2016., 2016 Let X be a real reflexive locally uniformly convex Banach space with locally uniformly convex dual space X⁎. Let T:X⊇DT→2X⁎ be maximal monotone of type Γdϕ (i.e., there exist d ≥ 0 and a nondecreasing function ϕ : [0, ∞ → [0, ∞ with ϕ(0) = 0 such that 〈v⁎, x − y〉≥−d‖x‖ − ϕ(‖y‖) for all x ∈ D(T), v⁎ ∈ Tx, and y ∈ X), L : X⊃D(L) → X⁎ be linear ...
Teffera M. Asfaw, Adrian Petrusel
wiley +1 more source