Approximation of zeros of sum of monotone mappings with applications to variational inequality and image restoration problems

A Adamu, J Deepho, AH Ibrahim… - … Functional Analysis and …, 2021 - koreascience.kr
In this paper, an inertial Halpern-type forward backward iterative algorithm for approximating
solution of a monotone inclusion problem whose solution is also a fixed point of some …

Iterative convergence theorems for maximal monotone operators and relatively nonexpansive mappings

L Wei, Y Su, H Zhou - Applied Mathematics-A Journal of Chinese …, 2008 - Springer
In this paper, some iterative schemes for approximating the common element of the set of
zero points of maximal monotone operators and the set of fixed points of relatively …

Krasnoselskii-type algorithm for zeros of strongly monotone Lipschitz maps in classical Banach spaces

CE Chidume, AU Bello, B Usman - SpringerPlus, 2015 - Springer
Abstract Let E= L_p E= L p, 1< p< ∞ 1< p<∞, and A: E → E^* A: E→ E∗ be a strongly
monotone and Lipschitz mapping. A Krasnoselskii-type sequence is constructed and proved …

Constructive techniques for zeros of monotone mappings in certain Banach spaces

C Diop, TMM Sow, N Djitte, CE Chidume - SpringerPlus, 2015 - Springer
Let E be a 2-uniformly convex real Banach space with uniformly Gâteaux differentiable
norm, and E^* E∗ its dual space. Let A: E → E^* A: E→ E∗ be a bounded strongly monotone …

[PDF][PDF] Strong convergence theorems by hybrid methods for maximal monotone operator and relatively nonexpansive mappings in Banach spaces

G Inoue, W Takahashi… - Journal of Convex …, 2009 - heldermann-verlag.de
In this paper, we prove strong convergence theorems for finding a common element of the
zero point set of a maximal monotone operator and the fixed point set of a relatively …

Weak and strong convergence theorems for new resolvents of maximal monotone operators in Banach spaces

T Ibaraki, W Takahashi - Advances in Mathematical Economics, 2007 - Springer
In this paper, we prove weak and strong convergence theorems for new resolvents of a
maximal monotone operator in a Banach space which are connected with the proximal point …

Forward–backward splitting algorithm for fixed point problems and zeros of the sum of monotone operators

V Dadashi, M Postolache - Arabian Journal of Mathematics, 2020 - Springer
In this paper, we construct a forward–backward splitting algorithm for approximating a zero
of the sum of an α α-inverse strongly monotone operator and a maximal monotone operator …

Proximal point algorithms and four resolvents of nonlinear operators of monotone type in Banach spaces

W Takahashi - Taiwanese Journal of Mathematics, 2008 - projecteuclid.org
In this article, motivated by Rockafellar's proximal point algorithm in Hilbert spaces, we
discuss various weak and strong convergence theorems for resolvents of accretive …

Strong convergence of projection scheme for zeros of maximal monotone operators

L Wei, H Zhou - Nonlinear Analysis: Theory, Methods & Applications, 2009 - Elsevier
A projection scheme with errors for zeros of maximal monotone operators is introduced and
some strong convergence theorems are obtained in a real uniformly smooth and uniformly …

Strong convergence theorems for strongly relatively nonexpansive sequences and applications

K Aoyama, Y Kimura, F Kohsaka - arXiv preprint arXiv:1202.1628, 2012 - arxiv.org
The aim of this paper is to establish strong convergence theorems for a strongly relatively
nonexpansive sequence in a smooth and uniformly convex Banach space. Then we employ …