In this paper, we propose and study an averaged Halpern-type algorithm for approximating the solution of a common fixed-point problem for a couple of nonexpansive and demicontractive mappings with a variational inequality constraint in the setting of a ...
Vasile Berinde, Khairul Saleh
doaj +1 more source
Dynamic string-averaging CQ-methods for the split feasibility problem with percentage violation constraints arising in radiation therapy treatment planning. [PDF]
Brooke M, Censor Y, Gibali A.
europepmc +1 more source
Fixed points of k-nonexpansive mappings
In this paper, we generalizes the notion of fundamentally nonexpansive mappings introduced in [Fixed Point Theory and Applications , 2014 (2014), Paper No. 76] to k-nonexpansive mappings. We investigate various properties associated with these mappings and demonstrate some existence and convergence results for k-nonexpansive mappings in the setting of ...
openaire +2 more sources
MM optimization: Proximal distance algorithms, path following, and trust regions. [PDF]
Landeros A, Xu J, Lange K.
europepmc +1 more source
We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi- -nonexpansive mapping and an asymptotically quasi-nonexpansive mapping , defined on a nonempty closed convex subset of a ...
Mukhamedov Farrukh, Saburov Mansoor
doaj
Fractional dynamic system simulating the growth of microbe. [PDF]
Hadid SB, Ibrahim RW.
europepmc +1 more source
A new general iterative method for finding a common element of the set of solutions of variational inequality and the set of common fixed points of a countable family of nonexpansive mappings is introduced and studied. A strong convergence theorem of the
Suantai Suthep, Bunyawat Aunyarat
doaj
Novel iterative method for the approximation of fixed point of a class of generalized ([Formula: see text])-nonexpansive mapping with applications to seir epidemic model. [PDF]
Alharthi NH +4 more
europepmc +1 more source
Convergence analysis of Suzuki's generalized nonexpansive mappings using the Picard-Abbas iteration process. [PDF]
Nawaz B +4 more
europepmc +1 more source
General Perturbation Resilient Dynamic String-Averaging for Inconsistent Problems with Superiorization. [PDF]
Barshad K, Censor Y.
europepmc +1 more source

