Generalized Resolvent Equations and Unsymmetric Dirichlet Spaces [PDF]
, 1981 Let (X, , μ) and (X, , μ′) be measure spaces with the measures μ and μ′ totally finite. Suppose {Uλ: λ > 0} is a family of positive (i.e., ϕ ≧ 0 ⇒ Uλϕ ≧ 0) continuous linear operators from L2(X, dμ′) to L2(X,dμ) with the following additional ...
Joanne Elliott
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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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H(⋅,⋅)-Cocoercive Operator and an Application for Solving Generalized Variational Inclusions
Abstract and Applied Analysis, 2011 The purpose of this paper is to introduce a new H(⋅,⋅)-cocoercive operator, which generalizes many existing monotone operators. The resolvent operator associated with H(⋅,⋅)-cocoercive operator is defined, and its Lipschitz continuity is presented.
Rais Ahmad +3 more
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α-Resolution Method for Lattice-valued Horn Generalized Clauses in Lattice-valued Propositional Logic Systems [PDF]
International Journal of Computational Intelligence Systems, 2015 In this paper, an α-resolution method for a set of lattice-valued Horn generalized clauses is established in lattice-valued propositional logic system ℒ P(X) based on lattice implication algebra.
Weitao Xu +4 more
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Algorithms for General System of Generalized Resolvent Equations with Corresponding System of Variational Inclusions [PDF]
, 2020 Very recently, Ahmad and Yao 2009 introduced and considered a system of generalized resolvent equations with corresponding system of variational inclusions in uniformly smooth Banach spaces.
Ching-Feng Wen, Lu-Chuan Ceng
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Sensitivity analysis for generalized strongly monotone variational inclusions based on the (A,η)-resolvent operator technique [PDF]
, 2006 Sensitivity analysis for generalized strongly monotone variational inclusions based on the (A,η)-resolvent operator technique is investigated.
Verma, R.U., R.U. Verma
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Wronskians, dualities and FZZT-Cardy branes
Nuclear Physics B, 2016 The resolvent operator plays a central role in matrix models. For instance, with utilizing the loop equation, all of the perturbative amplitudes including correlators, the free-energy and those of instanton corrections can be obtained from the spectral ...
Chuan-Tsung Chan +3 more
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A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains [PDF]
, 2010 In this note we investigate the asymptotic behavior of the s-numbers of the resolvent difference of two generalized self-adjoint, maximal dissipative or maximal accumulative Robin Laplacians on a bounded domain Ω with smooth boundary ∂Ω.
Lobanov, I. +14 more
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Bregman Distance and Strong Convergence of Proximal-Type Algorithms
Abstract and Applied Analysis, 2013 The purpose of this paper is to discuss some fundamental properties of Bregman distance, generalized projection operators, firmly nonexpansive mappings, and resolvent operators of set-valued monotone operators corresponding to a functional Φ(∥·∥).
Li-Wei Kuo, D. R. Sahu
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The Stokes resolvent problem : optimal pressure estimates and remarks on resolvent estimates in convex domains [PDF]
, 2020 The Stokes resolvent problem −Δ+∇= λ u − Δ u + ∇ ϕ = f with div()=0 div ( u ) = 0 subject to homogeneous Dirichlet or homogeneous Neumann-type boundary conditions is investigated.
Tolksdorf, Patrick
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