Results 21 to 30 of about 321 (86)
Existence of solution to an evolution equation and a justification of the DSM for equations with monotone operators [PDF]
, 2009 An evolution equation, arising in the study of the Dynamical Systems Method (DSM) for solving equations with monotone operators, is studied in this paper.
Hoang, N. S., Ramm, A. G.
core +5 more sources
Dynamical systems method for solving nonlinear equations with monotone operators [PDF]
, 2009 A version of the Dynamical Systems Method (DSM) for solving ill-posed nonlinear equations with monotone operators in a Hilbert space is studied in this paper.
Hoang, N. S., Ramm, A. G.
core +9 more sources
Transcendental operators acting on slice regular functions
Concrete Operators, 2022 The aim of this paper is to carry out an analysis of five trascendental operators acting on the space of slice regular functions, namely *-exponential, *-sine and *-cosine and their hyperbolic analogues. The first three of them were introduced by Colombo,
de Fabritiis Chiara
doaj +1 more source
A unified existence theory for evolution equations and systems under nonlocal conditions [PDF]
, 2014 We investigate the effect of nonlocal conditions expressed by linear continuous mappings over the hypotheses which guarantee the existence of global mild solutions for functional-differential equations in a Banach space. A progressive transition from the
Cardinali, Tiziana +2 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, in the setting of Hadamard spaces, a iterative scheme is proposed for approximating a solution of the inclusion problem for a finite family of monotone operators which is a unique solution of a variational inequality.
Ranjbar Sajad
doaj +1 more source
On the solvability of a system of wave and beam equations
Abstract and Applied Analysis, Volume 6, Issue 4, Page 215-228, 2001., 2001 We prove new existence results for linearly coupled system of wave and beam equations. The main concept is the matrix spectrum which is a natural extension of standard definition. Using invariant subspaces together with degree theoretic argument we obtain information about the range of the abstract operator.
Juha Berkovits
wiley +1 more source
The Dynamical Systems Method for solving nonlinear equations with monotone operators [PDF]
, 2009 A review of the authors's results is given. Several methods are discussed for solving nonlinear equations $F(u)=f$, where $F$ is a monotone operator in a Hilbert space, and noisy data are given in place of the exact data.
Hoang, N. S., Ramm, A. G.
core +7 more sources
, 2013 We introduce an iterative process which converges strongly to the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings.
H. Zegeye, N. Shahzad
semanticscholar +1 more source
Critical point result of Schechter type in a Banach space [PDF]
, 2016 Using Ekeland's variational principle we give a critical point theorem of Schechter type for extrema on a sublevel set in a Banach space.
Lisei, Hannelore, Vas, Orsolya
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Existence and approximation of fixed points of right Bregman nonexpansive operators [PDF]
, 2013 We study the existence and approximation of fixed points of right Bregman nonexpansive operators in reflexive Banach space. We present, in particular, necessary and sufficient conditions for the existence of fixed points and an implicit scheme for ...
D. Butnariu +24 more
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