Results 21 to 30 of about 474,284 (161)
Monotone and pseudomonotone operators with applications to variational problems [PDF]
, 2015 This work is primarily concerned with investigating how monotone and pseudomonotone operators between Banach spaces are used to prove the existence of solutions to nonlinear elliptic boundary value problems. A well-known approach to solving nonlinear elliptic boundary value problems is to reformulate them as equations of the form A (u) = f, where A is ...
Alexander, Byron Joseph
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Open Mathematics, 2023 In this article, we study a class of pseudomonotone split variational inequality problems (VIPs) with non-Lipschitz operator. We propose a new inertial extragradient method with self-adaptive step sizes for finding the solution to the aforementioned ...
Owolabi Abd-Semii Oluwatosin-Enitan +2 more
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Mathematics, 2022 Two new inertial-type extragradient methods are proposed to find a numerical common solution to the variational inequality problem involving a pseudomonotone and Lipschitz continuous operator, as well as the fixed point problem in real Hilbert spaces ...
Chainarong Khunpanuk +2 more
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The projection operator in a Hilbert space and its directional derivative. Consequences for the theory of projected dynamical systems [PDF]
Journal of Function Spaces and Applications, 2004 In the first part of this paper we present a representation theorem for the directional derivative of the metric projection operator in an arbitrary Hilbert space.
George Isac, Monica G. Cojocaru
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On pseudomonotone elliptic operators with functional dependence on unbounded domains [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Summary: We generalize F. E. Browder's results concerning pseudomonotone elliptic partial differential operators defined on unbounded domains. We show that under suitable assumptions, Browder's result holds true if the coefficient functions are functionals of the solution.
Mihály Csirik +2 more
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Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets [PDF]
Journal of Inequalities and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad S. R. Chowdhury, Yeol Je Cho
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Pseudomonotone diagonal subdifferential operators
, 2013 Summary: Let \(f\) be an equilibrium bifunction defined on the product space \(\mathbb X\times \mathbb X\), where \(\mathbb X\) is a Banach space. If \(f\) is locally Lipschitz with respect to the second variable, for every \(x\in \mathbb X\) we define \(T_f(x)\) as the Clarke subdifferential of \(f(x,\cdot)\) evaluated at \(x\).
CASTELLANI, MARCO, GIULI, MASSIMILIANO
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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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Open Mathematics, 2022 In this paper, we study the problem of finding a common solution of the pseudomonotone variational inequality problem and fixed point problem for demicontractive mappings.
Uzor Victor Amarachi +2 more
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Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In real Hilbert spaces, let the CFPP indicate a common fixed‐point problem of asymptotically nonexpansive operator and countably many nonexpansive operators, and suppose that the HVI and VIP represent a hierarchical variational inequality and a variational inequality problem, respectively.
Yun-Ling Cui +7 more
wiley +1 more source