Results 1 to 10 of about 290 (164)
GENERALIZED RESOLVENTS OF OPERATORS GENERATED BY INTEGRAL EQUATIONS
Проблемы анализа, 2018 We define a minimal operator L0 generated by an integral equation with an operator measure and give a description of the adjoint operator L∗0. We prove that every generalized resolvent of L0 is an integral operator and give a description of boundary ...
V. M. Bruk
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ON THE RESOLVENT OF SOME CLASS OF GENERALIZED DIFFERENTIAL OPERATOR
Advanced Engineering Research, 2006 In the article is given representation of the resolvent for generalized differential operator with generating function in the space of holomorphic functions.
A.V. BRATISHCHEV, A.V. MORZHAKOV
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Generalized monotone operators and their averaged resolvents [PDF]
Mathematical Programming, 2020 The correspondence between the monotonicity of a (possibly) set-valued operator and the firm nonexpansiveness of its resolvent is a key ingredient in the convergence analysis of many optimization algorithms. Firmly nonexpansive operators form a proper subclass of the more general - but still pleasant from an algorithmic perspective - class of averaged ...
Heinz H. Bauschke +2 more
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On generalized Yosida inclusion problem with application
Results in Control and Optimization, 2023 Herein, a generalized Yosida inclusion problem involving Φ-relaxed co-accretive mapping is investigated. The resolvent and analogous generalized Yosida approximation operator is explicated and its characteristics are outlined.
Mohammad Akram
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Convergence Analysis for Generalized Yosida Inclusion Problem with Applications
Mathematics, 2023 A new generalized Yosida inclusion problem, involving A-relaxed co-accretive mapping, is introduced. The resolvent and associated generalized Yosida approximation operator is construed and a few of its characteristics are discussed.
Mohammad Akram +4 more
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From resolvents to generalized equations and quasi-variational inequalities: existence and differentiability [PDF]
Journal of Nonsmooth Analysis and Optimization, 2022 We consider a generalized equation governed by a strongly monotone and Lipschitz single-valued mapping and a maximally monotone set-valued mapping in a Hilbert space. We are interested in the sensitivity of solutions w.r.t. perturbations of both mappings.
Gerd Wachsmuth
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General Nonlinear Random Equations with Random Multivalued Operator in Banach Spaces
Journal of Inequalities and Applications, 2009 We introduce and study a new class of general nonlinear random multivalued operator equations involving generalized m-accretive mappings in Banach spaces.
Heng-You Lan, Yeol Je Cho, Wei Xie
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Journal of Function Spaces, 2022 In this paper, we introduce a new extragradient algorithm by using generalized metric projection. We prove a strong convergence theorem for finding a common element of the solution set of split feasibility problem and the set of fixed points of ...
Mostafa Ghadampour
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Boundary relations and generalized resolvents of symmetric operators [PDF]
Russian Journal of Mathematical Physics, 2009 The Kre\uın-Naimark formula provides a parametrization of all selfadjoint exit space extensions of a, not necessarily densely defined, symmetric operator, in terms of maximal dissipative (in $\dC_+$) holomorphic linear relations on the parameter space (the so-called Nevanlinna families).
Derkach, V. +3 more
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Generalized Implicit Set-Valued Variational Inclusion Problem with ⊕ Operation
Mathematics, 2019 In this paper, we consider a resolvent operator which depends on the composition of two mappings with ⊕ operation. We prove some of the properties of the resolvent operator, that is, that it is single-valued as well as Lipschitz-type-continuous. An
Rais Ahmad +4 more
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