Results 11 to 20 of about 810 (111)

Viscosity Approximation for Split Equality Generalized Mixed Equilibrium Problems With Semigroups of Nonexpansive Mappings

Abstract and Applied Analysis
MSC2010 Classification: Primary 47H10, 47H09, 47J05, 47J25 ...
Prashant Patel, Rahul Shukla
doaj   +2 more sources

Attouch-Théra Duality, Generalized Cycles, and Gap Vectors [PDF]

SIAM Journal on Optimization, 2021
Using the Attouch-Théra duality, we study the cycles, gap vectors and fixed point sets of compositions of proximal mappings. Sufficient conditions are given for the existence of cycles and gap vectors.
S. Alwadani, Heinz H. Bauschke, Xianfu Wang   +2 more
semanticscholar   +1 more source

Strong Convergence Theorem for Finite Family of Asymptotically Nonexpansive in the Intermediate Sense Nonself Maps

European Journal of Theoretical and Applied Sciences, 2023
Let K be a nonexpansive retract of a uniformly convex Banach space X with retraction P. Let Ti: K → X (i= 1,...,m) be a finite family of uniformly continuous asymptotically nonexpansive in the intermediate sense maps with a nonempty common fixed points ...
A. Nnubia, Nkiruka Maria-Assumpta Akabuike, C. Moore   +2 more
semanticscholar   +1 more source

Iterative methods for the split common fixed point problem in Hilbert spaces [PDF]

, 2014
The split common fixed point problem is an inverse problem that consists in finding an element in a fixed point set such that its image under a bounded linear operator belongs to another fixed point set.
Huanhuan Cui, Fenghui Wang
semanticscholar   +1 more source

On split feasibility problem for finite families of equilibrium and fixed point problems in Banach spaces

Demonstratio Mathematica, 2022
In this article, motivated by the works of Ali Akbar and Elahe Shahrosvand [Split equality common null point problem for Bregman quasi-nonexpansive mappings, Filomat 32 (2018), no. 11, 3917–3932], Eskandani et al.
Abass Hammed A., Oyewole Olawale K., Mebawondu Akindele A., Aremu Kazeem O., Narain Ojen K.   +4 more
doaj   +1 more source

Strong convergence of a self-adaptive inertial Tseng's extragradient method for pseudomonotone variational inequalities and fixed point problems

Open Mathematics, 2022
In this paper, we study the problem of finding a common solution of the pseudomonotone variational inequality problem and fixed point problem for demicontractive mappings.
Uzor Victor Amarachi, Alakoya Timilehin Opeyemi, Mewomo Oluwatosin Temitope   +2 more
doaj   +1 more source

Effective results on compositions of nonexpansive mappings [PDF]

, 2013
This paper provides uniform bounds on the asymptotic regularity for iterations associated to a finite family of nonexpansive mappings. We obtain our quantitative results in the setting of $(r,\delta)$-convex spaces, a class of geodesic spaces which ...
Leustean, Laurentiu, Nicolae, Adriana
core   +2 more sources

Compositions and Averages of Two Resolvents: Relative Geometry of Fixed Points Sets and a Partial Answer to a Question by C. Byrne [PDF]

, 2010
We show that the set of fixed points of the average of two resolvents can be found from the set of fixed points for compositions of two resolvents associated with scaled monotone operators.
Bauschke, Heinz H., Wang, Xianfu
core   +1 more source

A self-adaptive Tseng extragradient method for solving monotone variational inequality and fixed point problems in Banach spaces

Demonstratio Mathematica, 2021
In this paper, we introduce a self-adaptive projection method for finding a common element in the solution set of variational inequalities (VIs) and fixed point set for relatively nonexpansive mappings in 2-uniformly convex and uniformly smooth real ...
Jolaoso Lateef Olakunle
doaj   +1 more source

On angles, projections and iterations

, 2020
We investigate connections between the geometry of linear subspaces and the convergence of the alternating projection method for linear projections.
Bargetz, Christian, Klemenc, Jona, Reich, Simeon, Skorokhod, Natalia   +3 more
core   +1 more source