Results 51 to 60 of about 118,963 (173)

Weak solvability of a variational parabolic equation with a nonlocal-in-time condition on the solution

open access: yesСовременная математика: Фундаментальные направления
In a separable Hilbert space, for an abstract linear parabolic equation with a weighted integral condition of a special type in time on the solution, the existence and uniqueness of a weak solution are proved.
A. S. Bondarev   +2 more
doaj   +1 more source

A unified proof on the weak Hilbert 16th problem forn=2

open access: yesJournal of Differential Equations, 2006
The paper focuses on the weakened Hilbert's 16th problem which is closely related to the least upper bound of the number of zeros \(Z(n)\) of the Abelian integral, where \(n\) is the degree of the corresponding polynomial perturbed Hamiltonian system.
Chen, Fengde   +3 more
openaire   +3 more sources

Strong Convergence of a New Iterative Algorithm for Split Monotone Variational Inclusion Problems

open access: yesMathematics, 2019
The main aim of this work is to introduce an implicit general iterative method for approximating a solution of a split variational inclusion problem with a hierarchical optimization problem constraint for a countable family of mappings, which are ...
Lu-Chuan Ceng, Qing Yuan
doaj   +1 more source

Dynamics of subpicosecond dispersion-managed soliton in a fibre: A perturbative analysis

open access: yes, 2006
A model is studied which describes a propagation of a subpicosecond optical pulse in dispersion-managed fibre links. In the limit of weak chromatic dispersion management, the model equation is reduced to a perturbed modified NLS equation having a ...
E. V. Doktorov   +5 more
core   +1 more source

On weak convergence of an iterative algorithm for common solutions of inclusion problems and fixed point problems in Hilbert spaces [PDF]

open access: yesFixed Point Theory and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Weak and Strong Convergence Theorems for the Multiple-Set Split Equality Common Fixed-Point Problems of Demicontractive Mappings

open access: yesJournal of Function Spaces, 2017
We consider mixed parallel and cyclic iterative algorithms in this paper to solve the multiple-set split equality common fixed-point problem which is a generalization of the split equality problem and the split feasibility problem for the demicontractive
Yaqin Wang, Tae-Hwa Kim, Xiaoli Fang
doaj   +1 more source

New inertial forward–backward algorithm for convex minimization with applications

open access: yesDemonstratio Mathematica, 2023
In this work, we present a new proximal gradient algorithm based on Tseng’s extragradient method and an inertial technique to solve the convex minimization problem in real Hilbert spaces.
Kankam Kunrada   +2 more
doaj   +1 more source

Approximation results for split equilibrium problems and fixed point problems of nonexpansive semigroup in Hilbert spaces

open access: yesAdvances in Difference Equations, 2020
In this paper, we study a modified extragradient method for computing a common solution to the split equilibrium problem and fixed point problem of a nonexpansive semigroup in real Hilbert spaces.
Yasir Arfat   +5 more
doaj   +1 more source

Iterative Arrangements of the MSCFP for Strictly Pseudocontractive Mappings

open access: yesJournal of Function Spaces, 2022
In this paper, we consider the multiple-set split common fixed point problem in Hilbert spaces. We first study a couple of critical properties of strictly pseudocontractive mappings and particularly the property under mix activity.
Lin Xue, Huanhuan Cui
doaj   +1 more source

Weak and strong convergence theorems for nonlinear mappings and system of generalized mixed equilibrium problems in Hilbert spaces

open access: yesThe Journal of Nonlinear Sciences and Applications, 2017
Summary: In this paper, we construct two iteration schemes for approximating a common element of the set of solutions of equilibrium problems (GMEP and GEP) and the set of common fixed points of a finite family of \(k\)-strictly asymptotically pseudo-contractions in Hilbert spaces. Fixed point theorems are established in Hilbert spaces.
Cheng, Qingqing, Su, Yongfu
openaire   +2 more sources

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