Advanced Search Results For "LINEAR operators"

Publication Type: Academic Journal

Source(s): Studia Universitatis Babes-Bolyai, Mathematica. Mar2023, Vol. 68 Issue 1, p151-160. 10p.

Abstract: The object of the present paper is to obtain several fuzzy differential subordinations associated with Linear operator Dmn,δ,gf(z)=z+∑∞j=2[1+(j-1)cⁿ(δ)]majbjzj. Using the operator Dmn,δ,g, we also introduce a class HFn,m,δ(η,g) of univalent analytic fu...

Publication Type: Academic Journal

Source(s): Journal of Science & Arts. Mar2023, Vol. 23 Issue 1, p177-186. 10p.

Abstract: Let Vi be the vector spaces and V*i be their dual spaces for 1 ≤ i ≤ r. In this paper, (V1 x V2 x ... x, Vr)* ≅ V*1 X V*2 X ... V*r is examined. Furthermore, the dual map F* and the adjoint map F of the r-linear map F : V1 x V2 x ... x, Vr → W are defi...

Publication Type: Academic Journal

Source(s): Computers, Materials & Continua. 2023, Vol. 74 Issue 2, p3881-3898. 18p.

Abstract: The most valuable resource on the planet is no longer oil, but data. The transmission of this data securely over the internet is another challenge that comes with its ever-increasing value. In order to transmit sensitive information securely, researche...

Publication Type: Academic Journal

Source(s): TWMS Journal of Applied & Engineering Mathematics. 2023, Vol. 13 Issue 1, p202-213. 12p.

Abstract: The notion of a regularized quasi-semigroups (or C-quasi-semigroups) of a bounded linear operators, as a generalization of C0-quasi-semigroups of a bounded linear operators, was introduced by M. Janfada in 2010. In this paper, we will show some results...

Publication Type: Academic Journal

Source(s): Discrete Dynamics in Nature & Society. 12/14/2022, p1-12. 12p.

Abstract: In this study, we establish some relationships between perturbations of a linear relation and its operator part by constructing an operator, which is induced by two linear relations including their closedness, hermiticity, self-adjointness, various spe...

Publication Type: Academic Journal

Source(s): Mathematical Programming. May2023, Vol. 199 Issue 1/2, p123-163. 41p.

Abstract: We present and analyze a new generalized Frank–Wolfe method for the composite optimization problem (P) : min x ∈ R n f (A x) + h (x) , where f is a θ -logarithmically-homogeneous self-concordant barrier, A is a linear operator and the function h has a ...

Publication Type: Academic Journal

Source(s): Journal of Industrial & Management Optimization. Apr2023, Vol. 19 Issue 4, p3020-3043. 24p.

Abstract: In this paper, we study a modified relaxed inertial Mann-type iterative algorithm for solving split monotone variational inclusion problem without prior knowledge of the bounded linear operator norm in real Hilbert spaces. Under some appropriate assump...

Publication Type: Academic Journal

Source(s): Applied Mathematics & Optimization. Apr2023, Vol. 87 Issue 2, p1-26. 26p.

Abstract: The primal-dual method of Chambolle and Pock is a widely used algorithm to solve various optimization problems written as convex-concave saddle point problems. Each update step involves the application of both the forward linear operator and its adjoin...

Publication Type: Academic Journal

Source(s): Journal of Function Spaces. 9/1/2022, p1-9. 9p.

Abstract: Let S be any bounded linear operator defined on a complex Hilbert space H. In this paper, we present some numerical radius inequalities involving the generalized Aluthge transform to attain upper bounds for numerical radius. Numerical computations are ...

Publication Type: Academic Journal

Source(s): SIAM Journal on Matrix Analysis & Applications. 2023, Vol. 44 Issue 1, p331-358. 28p.

Abstract: This work considers a class of delay eigenvalue problems that admit a spectrum similar to that of a Hamiltonian matrix, in the sense that the spectrum is symmetric with respect to both the real and imaginary axes. We propose a method to iteratively app...