Results 51 to 60 of about 474,284 (161)
Mathematics, 2022 In a real Hilbert space, let the VIP denote a pseudomonotone variational inequality problem with Lipschitz continuity operator, and let the CFPP indicate a common fixed-point problem of finitely many nonexpansive mappings and an asymptotically ...
Lu-Chuan Ceng +3 more
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Differential-operator inclusions and multivariation inequalities with pseudomonotone maps [PDF]
, 2010 Розглянуто диференціально-операторні включення та мультиваріаційні нерівності в банахових просторах з квазімонотонними відображеннями. Досліджено функціонально-топологічні властивості розв’язуючого оператора.
Касьянов, П.О.
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Positive solutions for nonlinear Robin problems with convection
Science, Technology and Innovation, 2021 We consider a Robin problem driven by the p-Laplacian and with a reaction which is gradient dependent (convection). Using truncations and perturbations, we show that the problem has at least one positive smooth solution.
Leszek Gasiński, Nikolaos Papageorgiou
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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
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On Iterative Regularization Methods for Variational Inequalities of the Second Kind with Pseudomonotone Operators [PDF]
Computational Methods in Applied Mathematics, 2003 Abstract Variational inequalitiy of the second kind in the Banach or Hilbert space is considered. A ”semi-implicit” iterative method for its solution is studied.
Badriev, I. B. +2 more
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Axioms, 2023 In this paper, we introduce a new iterative method that combines the inertial subgradient extragradient method and the modified Mann method for solving the pseudomonotone variational inequality problem and the fixed point of quasi-Bregman nonexpansive ...
Rose Maluleka +2 more
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Ukrains’kyi Matematychnyi Zhurnal, 2022 UDC 519.21 We study an important class of stochastic nonlinear evolution problems with pseudomonotone elliptic parts and establish the existence of probabilistic weak (or martingale) solutions. No solvability theory has been developed so far for these equations despite numerous works involving various generalizations of the monotonicity condition.
Ali, Z. I., Sango, M.
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A Lewy-Stampacchia inequality in variable Sobolev spaces for pseudomonotone operators [PDF]
Differential Equations & Applications, 2014 The authors prove the Lewy-Stampacchia inequality for a nonlinear pseudomonotone elliptic operator in the variable exponent Sobolev spaces. The proof is based on a penalization method.
Mokrane, A., Vallet, G.
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Quasimonotone versus pseudomonotone
, 1996 Under some natural hypotheses, we show that if the (Nemitsky-) operator associated with an elliptic system is pseudomonotone, then the system has to be quasimonotone.
Rüdiger Landes
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Gradient and Parameter Dependent Dirichlet (p(x),q(x))-Laplace Type Problem
Mathematics, 2022 We analyze a Dirichlet (p(x),μq(x))-Laplace problem. For a gradient dependent nonlinearity of Carathéodory type, we discuss the existence, uniqueness and asymptotic behavior of weak solutions, as the parameter μ varies on the non-negative real axis.
Kholoud Saad Albalawi +2 more
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