Results 1 to 10 of about 873 (268)

An Introduction to Spectral Theory of Bounded Linear Operators in Intuitionistic Fuzzy Pseudo Normed Linear Space [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2022
In this paper, focus is on the study of spectrum and the spectral properties of bounded linear operators in intuitionistic fuzzy pseudo normed linear spaces(IFPNLS).
Bivas Dinda   +2 more
doaj   +1 more source

A Note on Approximate Controllability of Fractional Semilinear Integrodifferential Control Systems via Resolvent Operators

open access: yesFractal and Fractional, 2022
This article primarily focuses on the approximate controllability of fractional semilinear integrodifferential equations using resolvent operators. Two alternative sets of necessary requirements have been studied.
Velusamy Vijayakumar   +6 more
doaj   +1 more source

On two resolvent matrices of the truncated Hausdorff matrix moment problem

open access: yesVisnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022
We consider the truncated Hausdorff matrix moment problem (THMM) in case of a finite number of even moments to be called non degenerate if two block Hankel matrices constructed via the moments are both positive definite matrices.
A. E. Choque-Rivero   +1 more
doaj   +1 more source

Stability and Convergence Analysis for Set-Valued Extended Generalized Nonlinear Mixed Variational Inequality Problems and Generalized Resolvent Dynamical Systems

open access: yesJournal of Mathematics, 2021
In this paper, we study a set-valued extended generalized nonlinear mixed variational inequality problem and its generalized resolvent dynamical system. A three-step iterative algorithm is constructed for solving set-valued extended generalized nonlinear
Iqbal Ahmad   +3 more
doaj   +1 more source

From resolvents to generalized equations and quasi-variational inequalities: existence and differentiability [PDF]

open access: yesJournal 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
doaj   +1 more source

THE TWO-SIDED ESTIMATES OF THE FREDHOLM RADIUS AND COMPACTNESS CONDITIONS FOR THE OPERATOR ASSOCIATED WITH A SECOND-ORDER DIFFERENTIAL EQUATION

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2021
In this paper we consider the properties of the resolvent of a linear operator corresponding to a degenerate singular second-order differential equation with variable coefficients, considered in the Lebesgue space.
K. N. Ospanov, A. N. Yesbayev
doaj   +1 more source

Extragradient Methods for Solving Split Feasibility Problem and General Equilibrium Problem and Resolvent Operators in Banach Spaces

open access: yesJournal 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

A study of resolvent set for a class of band operators with matrix elements

open access: yesConcrete Operators, 2016
For operators generated by a certain class of infinite three-diagonal matrices with matrix elements we establish a characterization of the resolvent set in terms of polynomial solutions of the underlying second order finite-difference equations.
Osipov Andrey
doaj   +1 more source

Generalized Implicit Set-Valued Variational Inclusion Problem with ⊕ Operation

open access: yesMathematics, 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

Variational-Like Inclusions and Resolvent Equations Involving Infinite Family of Set-Valued Mappings

open access: yesFixed Point Theory and Applications, 2011
We study variational-like inclusions involving infinite family of set-valued mappings and their equivalence with resolvent equations. It is established that variational-like inclusions in real Banach spaces are equivalent to fixed point problems.
Ahmad Rais, Dilshad Mohd
doaj   +2 more sources

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