Results 31 to 40 of about 270 (155)
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
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Infinite player noncooperative games with vector payoffs under relative pseudomonotonicity [PDF]
, 2006 In this paper we consider the Nash equilibrium problem for infinite player games with vector payoffs in a topological vector space setting. By employing new concepts of relative (pseudo)monotonicity, we establish several existence results of solutions ...
A. GNUDI +7 more
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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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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
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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.
openaire +3 more sources
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
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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
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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
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International Journal of Analysis, Volume 2016, Issue 1, 2016., 2016 We introduce and study variational‐like inequalities for generalized pseudomonotone set‐valued mappings in Banach spaces. By using KKM technique, we obtain the existence of solutions for variational‐like inequalities for generalized pseudomonotone set‐valued mappings in reflexive Banach spaces.
Syed Shakaib Irfan +2 more
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Abstract and Applied Analysis, Volume 2016, Issue 1, 2016., 2016 Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ and A:X⊇D(A)→2X⁎ be maximal monotone operators. The maximality of the sum of two maximal monotone operators has been an open problem for many years.
Teffera M. Asfaw, Lucas Jodar
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