Zobrazeno 1 - 10
of 1 998
pro vyhledávání: '"fixed point problem"'
Autor:
Saud Fahad Aldosary, Mohammad Farid
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-17 (2024)
Abstract We devise an iterative algorithm incorporating inertial techniques to approximate the shared solution of a generalized equilibrium problem, a fixed point problem for a finite family of relatively nonexpansive multivalued mappings, and a vari
Externí odkaz:
https://doaj.org/article/f2234216271048c8984d711ec899cb80
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 18553-18573 (2024)
In this paper, we have introduced some viscosity-type inertial iterative methods for solving fixed point and variational inclusion problems in Hilbert spaces. Our methods calculated the viscosity approximation, fixed point iteration, and inertial ext
Externí odkaz:
https://doaj.org/article/c620b14cc17b420cb4c0d3ad39afc163
Autor:
Francis Akutsah, Akindele Adebayo Mebawondu, Austine Efut Ofem, Reny George, Hossam A. Nabwey, Ojen Kumar Narain
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 17276-17290 (2024)
This paper presents and examines a newly improved linear technique for solving the equilibrium problem of a pseudomonotone operator and the fixed point problem of a nonexpansive mapping within a real Hilbert space framework. The technique relies two
Externí odkaz:
https://doaj.org/article/55fb6a8176cc4836a750d95090a0965d
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-31 (2024)
Abstract This paper introduces an innovative inertial simultaneous cyclic iterative algorithm designed to address a range of mathematical problems within the realm of split equality variational inequalities. Specifically, the algorithm accommodates f
Externí odkaz:
https://doaj.org/article/ed31d4e106da46b59d49d2c9bfc951d6
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 221-239 (2024)
In this article, we study the split variational inclusion and fixed point problems using Bregman weak relatively nonexpansive mappings in the pp-uniformly convex smooth Banach spaces. We introduce an inertial shrinking projection self-adaptive iterat
Externí odkaz:
https://doaj.org/article/e24ed967af8e48708e25af319cbb5769
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-16 (2024)
Abstract This paper provides convergence analysis of some variants of the hybrid extragradient algorithm (HEA) in Hilbert spaces. We employ the HEA to compute the common solution of the equilibrium problem and split fixed-point problem associated wit
Externí odkaz:
https://doaj.org/article/4b1bf809aeb341f6820758aaa38a59e2
Publikováno v:
Alexandria Engineering Journal, Vol 87, Iss , Pp 350-364 (2024)
In this article, we present two inertial modifications of regularized algorithms for the split variational inclusion problem (SVIP, for short) in real Hilbert spaces (RHSs). When the circumstances are right, strong convergence theorems are demonstrat
Externí odkaz:
https://doaj.org/article/9c7dc4ed282a45acb6277af89b89a162
Autor:
Natthaphon Artsawang
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 28398-28412 (2023)
In this article, we propose a strongly convergent preconditioning method for finding a zero of the sum of two monotone operators. The proposed method combines a preconditioning approach with the robustness of the Krasnosel'skiĭ-Mann method. We show
Externí odkaz:
https://doaj.org/article/0245f8c9f0f244018301af14520002c3
Autor:
Lawan Bulama Mohammed, Adem Kilicman
Publikováno v:
Axioms, Vol 13, Iss 7, p 460 (2024)
It is generally known that in order to solve the split equality fixed-point problem (SEFPP), it is necessary to compute the norm of bounded and linear operators, which is a challenging task in real life. To address this issue, we studied the SEFPP in
Externí odkaz:
https://doaj.org/article/3a58b000df6e4941b7308a1ee7243b16
Publikováno v:
Demonstratio Mathematica, Vol 56, Iss 1, Pp 221-239 (2023)
In this article, we introduce and study the notion of split generalized equilibrium problem with multiple output sets (SGEPMOS). We propose a new iterative method that employs viscosity approximation technique for approximating the common solution of
Externí odkaz:
https://doaj.org/article/374f4805d06c4b47b246b7b403e87b22