Results 51 to 60 of about 152 (147)
Mathematics, 2019 Let VIP indicate the variational inequality problem with Lipschitzian and pseudomonotone operator and let CFPP denote the common fixed-point problem of an asymptotically nonexpansive mapping and a strictly pseudocontractive mapping in a real Hilbert ...
Lu-Chuan Ceng +3 more
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Variational inequalities for (η, θ)-pseudomonotone operators in nonreflexive Banach spaces
Applied Mathematics Letters, 1999 The paper concerns a variational problem: Find \(x_0\in K\) such that, for all \(x\in K\), \(\langle Tx_0,\eta(x,x_0)\rangle\geq 0\). Here \(X\) is a nonreflexive Banach space, \(K\subseteq X^{**}\) is a convex set, \(T:K\to X^{*}\) is a hemicontinuous operator, and \(\eta:K\times K\to X^{**}\) is an appropriate substitute for the standard operator ...
Lee, B.-S., Lee, G.-M.
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Mathematical Methods in the Applied Sciences, Volume 47, Issue 12, Page 9637-9668, August 2024.A survey of the existing results in the literature shows that several of the results on variational inequality problem were established under some stringent conditions and employed some form of linesearch technique even in the framework of Hilbert spaces. However, due to the loop nature of the linesearch technique, the implementation of such algorithms
Oluwatosin T. Mewomo +3 more
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Optimal Control Applications and Methods, Volume 45, Issue 4, Page 1832-1850, July/August 2024.The graphical abstract delves into Caputo fractional nonlinear differential inclusions, highlighting their complexities and the need for innovative solutions. We propose a mild solution approach to address these challenges efficiently. Our investigation focuses on determining the existence of mild solutions under varied conditions and exploring optimal
Marimuthu Mohan Raja +4 more
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Existence Theorems on Solvability of Constrained Inclusion Problems and Applications
Abstract and Applied Analysis, 2018 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 a maximal monotone operator and C:X⊇D(C)→X⁎ be bounded and continuous with D(T)⊆D(C).
Teffera M. Asfaw
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Fractional elliptic obstacle systems with multivalued terms and nonlocal operators
Nonlinear AnalysisIn this paper, we introduce and study a fractional elliptic obstacle system, which is composed of two elliptic inclusions with fractional (pi, qi)-Laplace operators, nonlocal functions, and multivalued terms.
Jinxia Cen +2 more
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Axioms, 2021 In this paper, we survey the split problem of fixed points of two pseudocontractive operators and variational inequalities of two pseudomonotone operators in Hilbert spaces.
Li-Jun Zhu, Yeong-Cheng Liou
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A double phase equation with convection
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider a double phase problem with a gradient dependent reaction (convection). Using the theory of nonlinear operators of monotone type, we show the existence of a nontrivial, positive, bounded solution.
Zhenhai Liu, Nikolaos Papageorgiou
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Mathematics, 2019 In a real Hilbert space, let the notation VIP indicate a variational inequality problem for a Lipschitzian, pseudomonotone operator, and let CFPP denote a common fixed-point problem of an asymptotically nonexpansive mapping and finitely many nonexpansive
Lu-Chuan Ceng +3 more
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Nonhomogeneous Dirichlet Problems with Unbounded Coefficient in the Principal Part
Axioms, 2022 The main result of the paper establishes the existence of a bounded weak solution for a nonlinear Dirichlet problem exhibiting full dependence on the solution u and its gradient ∇u in the reaction term, which is driven by a p-Laplacian-type operator with
Dumitru Motreanu
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