A Hybrid Iterative Scheme for a Maximal Monotone Operator and Two Countable Families of Relatively Quasi-Nonexpansive Mappings for Generalized Mixed Equilibrium and Variational Inequality Problems [PDF]
Abstract and Applied Analysis, 2010 We introduce a new hybrid iterative scheme for finding a common element of the set of common fixed points of two countable families of relatively quasi-nonexpansive mappings, the set of the variational inequality for an α-inverse-strongly monotone ...
Siwaporn Saewan, Poom Kumam
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Maximal functions and subordination for operator groups. [PDF]
, 2002 Let E be a UMD Banach space and L a positive and self-adjoint operator in L^2 of Laplace type such that the imaginary powers L^{-it} form a C_0 group of exponential growth on L^p(E).
Blower, Gordon
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On maximal monotone operators with relatively compact range [PDF]
, 2010 summary:It is shown that every maximal monotone operator on a real Banach space with relatively compact range is of type NI. Moreover, if the space has a separable dual space then every maximally monotone operator $T$ can be approximated by a sequence ...
Zagrodny, Dariusz
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Equilibrium of maximal monotone operator in a given set [PDF]
, 2000 Sufficient conditions for an equilibrium of maximal monotone operator to be in a given set are provided. This partially answers to a question posed in [10]
Zagrodny, Dariusz
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On the local boundedness of maximal H-monotone operators [PDF]
, 2017 In this paper we prove that maximal H-monotone operators T: Hn ⇉ V1 whose domain is all the Heisenberg group Hn are locally bounded. This implies that they are upper semicontinuous.
Balogh, Zoltan +5 more
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Monotonicity Arguments for Variational–Hemivariational Inequalities in Hilbert Spaces
Axioms, 2022 We consider a variational–hemivariational inequality in a real Hilbert space, which depends on two parameters. We prove that the inequality is governed by a maximal monotone operator, then we deduce various existence, uniqueness and equivalence results ...
Mircea Sofonea
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Moroccan Journal of Pure and Applied Analysis, 2022 In this paper we prove the existence of at least one renormalized solution for the p(x)-Laplacian equation associated with a maximal monotone operator and Radon measure data. The functional setting involves Sobolev spaces with variable exponent W1,p(·)(Ω)
Benboubker M. B. +3 more
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Optimal control of an abstract evolution variational inequality with application to homogenized plasticity [PDF]
Journal of Nonsmooth Analysis and Optimization, 2020 The paper is concerned with an optimal control problem governed by a state equation in form of a generalized abstract operator differential equation involving a maximal monotone operator.
Hannes Meinlschmidt +2 more
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Electronic Journal of Differential Equations, 2022 Let \(X\) be a real reflexive Banach space and \(X^*\) be its dual space. Let \(G_1\) and \(G_2\) be open subsets of \(X\) such that \(\overline G_2\subset G_1\), \(0\in G_2\), and \(G_1\) is bounded. Let \(L: X\supset D(L)\to X^*\) be a densely defined
Dhruba R. Adhikari +5 more
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A Forward-Backward Projection Algorithm for Approximating of the Zero of the Sum of Two Operators
پژوهشهای ریاضی, 2020 Introduction One of the most important classes of mappings is the class of monotone mappings due to its various applications. For solving many important problems, it is required to solve monotone inclusion problems, for instance, evolution
Vahid Dadashi
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