Resolvent operator
General variational inclusions in Lp spaces
... Variational inequalities are being used as a mathematical programming tool in modeling a wide class of problems arising in different branches of pure and applied sciences, see [1–26]. Variational inequalities have been ...
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Sensitivity analysis for generalized set-valued parametric ordered variational inclusion with (α,λ)-NODSM mappings in ordered Banach spaces
... the resolvent operator associated with ( α , λ )-NODSM set-valued mappings, an existence theorem and a sensitivity analysis of the solution set for this kind of parametric variational inclusion is proved ...
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Characterizations of weak-ANODD set-valued mappings with applications to an approximate solution of GNMOQV inclusions involving ⊕ operator in ordered Banach spaces
... associated resolvent operator in . Using resolvent operator methods, they developed some iterative algorithms to approximate the solution of a class of gen- eral variational inclusions ...
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Weak convergence of a hybrid type method with errors for a maximal monotone mapping in Banach spaces
... the resolvent operator of the m-accretive operator is employed in theses ...the resolvent operator of a maximal monotone operator is not nonexpansive in Banach spaces, these ...
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Solving GNOVI frameworks involving (γG,λ)-weak-GRD set-valued mappings in positive Hilbert spaces
... the resolvent operator associated with an RME set- valued mapping, the author introduced and studied a class of nonlinear inclusion prob- lems for ordered RME set-valued mappings to find x ∈ X such that ∈ ...
9
Fine Spectra of Tridiagonal Symmetric Matrices
... resolvent operator where the domain of the resolvent operator is the whole space ...continuous resolvent operator, and since S is bounded by Lemma ...this resolvent ...
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Generalized set valued variational like inclusions involving H(⋅,⋅) η cocoercive operator in Banach spaces
... Theorem . Let H(A, B) be η-cocoercive with respect to A with constant μ > and η-relaxed cocoercive with respect to B with constant γ > , A is α-expansive, B is β - Lipschitz continuous and η is τ -Lipschitz ...
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General System of Monotone Nonlinear Variational Inclusions Problems with Applications
... A-monotonicity is defined in terms of relaxed monotone mappings—a more general notion than the monotonicity or strong monotonocity—which gives a significant edge over the H- monotonocity. Very recently, Verma 6 studied ...
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General Nonlinear Random Equations with Random Multivalued Operator in Banach Spaces
... multivalued operator equations involving generalized m-accretive mappings in Banach ...the resolvent operator technique for generalized m-accretive mapping due to Huang and Fang 2001, we also prove ...
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A New System of Nonlinear Fuzzy Variational Inclusions Involving Accretive Mappings in Uniformly Smooth Banach Spaces
... defined resolvent operators associated with A, η-accretive ...the resolvent operator associated with A, η-accretive ...new resolvent operator technique associated with A, η-accretive ...
33
Solvability and iterative algorithms for a system of generalized nonlinear mixed quasivariational inclusions with (Hi,ηi) monotone operators
... continuous operator with a constant τ > , H : H → H be a strongly η-monotone operator with a constant σ > and M : H → H be an (H, η)-monotone ...the resolvent operator J M,λ H,η : H ...
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Resolvent Iterative Methods for Solving System of Extended General Variational Inclusions
... In this paper, we have introduced and considered a new system of extended general variational inclusions involving six different operators. We have established the equivalent between the system of variational inclusions ...
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Reconstruction and Estimation of Flows Using Resolvent Analysis and Data-Assimilation
... and resolvent analyses for base and mean flows with an emphasis on the ...the resolvent operator is low-rank since an eigenvalue must be su ffi ciently separated from the rest of the spectrum in ...
210
Resolvent-Based Modeling of Flows in a Channel
... Figure 3.14 in the first 3 rows. If we then take the velocity field from iteration 3, place it in the form given in Equation 3.13, and feed this as an initial guess to Channelflow, we arrive at the solution shown in ...
101
Forward backward resolvent splitting methods for general mixed variational inequalities
... 3. Main results. In this section, we use the resolvent operator technique to suggest a modified resolvent method for solving general mixed variational inequalities of type (2.1). For this purpose, we ...
12
A Hybrid Proximal Point Three-Step Algorithm for Nonlinear Set-Valued Quasi-Variational Inclusions System Involving -Accretive Mappings
... 7 Y.-P. Fang and N.-J. Huang, “H-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces,” Applied Mathematics Letters, vol. 17, no. 6, pp. 647–653, 2004. 8 ...
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Exact null controllability of semilinear integro-differential systems
... Keywords: exact null controllability; resolvent operator; semilinear integro-differential systems; Schauder fixed point theorem1. 2010 AMS Subject Classification: 34K35, 35R09, 47G20, 93[r] ...
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Graphical approximation of common solutions to generalized nonlinear relaxed cocoercive operator equation systems with (A, η)-accretive mappings
... the resolvent operator technique associated with (A, h)-accretive mappings, Jin [5] introduced and studied a new class of nonlinear variational inclusion systems with (A, h)-accretive mappings in ...
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Existence of solutions of abstract non-autonomous second order integro-differential equations
... In this section we study the existence of solutions for problem (.)-(.). Throughout this section we assume that the hypotheses of Theorem ., Theorem . or Theorem . are satisfied including condition (H). As a ...
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Existence and approximation of solutions for system of generalized mixed variational inequalities
... The aim of this work is to study a system of generalized mixed variational inequalities, existence and approximation of its solution using the resolvent operator technique. We further propose an algorithm ...
15