Zobrazeno 1 - 10
of 964
pro vyhledávání: '"REICH, SIMEON"'
This paper deals with time-fractional stochastic Navier-Stokes equations, which are characterized by the coexistence of stochastic noise and a fractional power of the Laplacian. We establish sufficient conditions for the existence and approximate con
Externí odkaz:
http://arxiv.org/abs/2408.17173
In this paper we study a class of split variational inclusion (SVI) and regularized split variational inclusion (RSVI) problems in real Hilbert spaces. We discuss various analytical properties of the net generated by the RSVI and establish the existe
Externí odkaz:
http://arxiv.org/abs/2310.10205
Autor:
Reich, Simeon, Zalas, Rafał
We study the well-known methods of alternating and simultaneous projections when applied to two nonorthogonal linear subspaces of a real Euclidean space. Assuming that both of the methods have a common starting point chosen from either one of the sub
Externí odkaz:
http://arxiv.org/abs/2306.12219
Publikováno v:
Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 117, Article number: 88 (2023)
The notion of well-posedness has drawn the attention of many researchers in the field of nonlinear analysis, as it allows to explore problems in which exact solutions are not known and/or computationally hard to compute. Roughly speaking, for a given
Externí odkaz:
http://arxiv.org/abs/2208.07126
In this paper, we propose and study several strongly convergent versions of the forward-reflected-backward splitting method of Malitsky and Tam for finding a zero of the sum of two monotone operators in a real Hilbert space. Our proposed methods only
Externí odkaz:
http://arxiv.org/abs/2208.06871
In general Banach spaces, the metric projection map lacks the powerful properties it enjoys in Hilbert spaces. There are a few generalized projections that have been proposed in order to resolve many of the deficiencies of the metric projection. Howe
Externí odkaz:
http://arxiv.org/abs/2207.09317
Convergence of Two Simple Methods for Solving Monotone Inclusion Problems in Reflexive Banach Spaces
Publikováno v:
Results Math 77, 143 (2022)
We propose two very simple methods, the first one with constant step sizes and the second one with self-adaptive step sizes, for finding a zero of the sum of two monotone operators in real reflexive Banach spaces. Our methods require only one evaluat
Externí odkaz:
http://arxiv.org/abs/2206.08240
Autor:
Reich, Simeon, Zalas, Rafał
We study the method of cyclic projections when applied to closed and linear subspaces $M_i$, $i=1,\ldots,m$, of a real Hilbert space $\mathcal H$. We show that the average distance to individual sets enjoys a polynomial behaviour $o(k^{-1/2})$ along
Externí odkaz:
http://arxiv.org/abs/2205.13843