Results 21 to 30 of about 951 (297)
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
doaj +1 more source
On resolvability of Lindelöf generated spaces
Sibirskie Elektronnye Matematicheskie Izvestiya, 2017 11 pages, 1 ...
Filatova, M. A., Osipov, A. V.
openaire +3 more sources
On the adjoint of a symmetric operator [PDF]
, 2007 In general it is a non-trivial task to determine the adjoint S* of an unbounded symmetric operator S in a Hilbert or Krein space. We propose a method to specify S* explicitly which makes use of two boundary mappings that satisfy an abstract Green's ...
Meda S. +47 more
core +1 more source
GENERAL VARIATIONAL INCLUSIONS AND GENERAL RESOLVENT EQUATIONS
Bulletin of the Korean Mathematical Society, 2004 Summary: In this paper, we introduce and study a new class of variational inclusions, called general variational inclusions. We prove the equivalence between the general variational inclusions, the general resolvent equations, and the fixed-point problems, using the resolvent operator technique.
Liu, Zeding +2 more
openaire +1 more source
The generalized characteristic polynomial, corresponding resolvent and their application [PDF]
, 2023 We introduced previously the generalized characteristic polynomial defined by $P_C(\lambda)={\rm det}\,C(\lambda),$ where $C(\lambda)=C+{\rm diag}\big(\lambda_1,\dots,\lambda_n\big)$ for $C\in {\rm Mat}(n,\mathbb C)$ and $\lambda=(\lambda_k)_{k=1}^n\in ...
Kosyak, A. V.
core +4 more sources
Generalized Yosida Approximations Based on Relatively A-Maximal m-Relaxed Monotonicity Frameworks
Abstract and Applied Analysis, 2013 We introduce and study a new notion of relatively A-maximal m-relaxed monotonicity framework and discuss some properties of a new class of generalized relatively resolvent operator associated with the relatively A-maximal m-relaxed monotone operator and ...
Heng-you Lan
doaj +1 more source
Iterative Schemes for Finite Families of Maximal Monotone Operators Based on Resolvents
Abstract and Applied Analysis, 2014 The purpose of this paper is to present two iterative schemes based on the relative resolvent and the generalized resolvent, respectively. And, it is shown that the iterative schemes converge weakly to common solutions for two finite families of maximal ...
Li Wei, Ruilin Tan
doaj +1 more source
Variable-Length Resolvability for General Sources and Channels
Entropy, 2023 We introduce the problem of variable-length (VL) source resolvability, in which a given target probability distribution is approximated by encoding a VL uniform random number, and the asymptotically minimum average length rate of the uniform random number, called the VL resolvability, is investigated.
Hideki Yagi, Te Sun Han
openaire +4 more sources
Schrödinger operators with δ and δ′-potentials supported on hypersurfaces [PDF]
, 2013 Self-adjoint Schrödinger operators with δ and δ′-potentials supported on a smooth compact hypersurface are defined explicitly via boundary conditions.
Lotoreichik, Vladimir +2 more
core +1 more source
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
doaj +1 more source