[图书][B] Topics in fixed point theory

S Almezel, QH Ansari, MA Khamsi - 2014 - Springer
Fixed point theory is one of the most powerful and fruitful tools of modern mathematics and
may be considered a core subject of nonlinear analysis. In the last 50 years, fixed point …

Strong convergence of a general iteration scheme in CAT (0) spaces

AR Khan, MA Khamsi - Nonlinear Analysis: Theory, Methods & …, 2011 - Elsevier
We introduce and study strong convergence of a general iteration scheme for a finite family
of asymptotically quasi-nonexpansive maps in convex metric spaces and CAT (0) spaces …

Fractal patterns from the dynamics of combined polynomial root finding methods

K Gdawiec - Nonlinear Dynamics, 2017 - Springer
Fractal patterns generated in the complex plane by root finding methods are well known in
the literature. In the generation methods of these fractals, only one root finding method is …

[HTML][HTML] Convergence of a general iterative scheme for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces and applications

AR Khan, MA Ahmed - Computers & Mathematics with Applications, 2010 - Elsevier
In this paper, we introduce the iterative scheme due to Khan, Domlo and Fukhar-ud-din
(2008)[8] in convex metric spaces and establish strong convergence of this scheme to a …

[图书][B] Fixed point theory, variational analysis, and optimization

SAR Al-Mezel, FRM Al-Solamy, QH Ansari - 2014 - books.google.com
Fixed Point Theory, Variational Analysis, and Optimization not only covers three vital
branches of nonlinear analysis—fixed point theory, variational inequalities, and vector …

Convergence theorems for common fixed points of asymptotically quasi-nonexpansive mappings in convex metric spaces

I Yildirim, SH Khan - Applied Mathematics and Computation, 2012 - Elsevier
In this paper, we consider an implicit iteration process to approximate the common fixed
points of two finite families of asymptotically quasi-nonexpansive mappings in convex metric …

Common fixed points of multistep Noor iterations with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings

S Imnang, S Suantai - Abstract and Applied Analysis, 2009 - projecteuclid.org
We introduce a general iteration scheme for a finite family of generalized asymptotically
quasi-nonexpansive mappings in Banach spaces. The new iterative scheme includes the …

CONVERGENCE THEOREMS OF MIXED TYPE IMPLICIT ITERATION FOR NONLINEAR MAPPINGS IN CONVEX METRIC SPACES

KS Kim - 2022 - koreascience.kr
In this paper, we propose and study an implicit iteration process for a finite family of total
asymptotically quasi-nonexpansive mappings and a finite family of asymptotically quasi …

Demiclodeness and fixed points of G-asymptotically nonexpansive mapping in Banach spaces with graph

MG Sangago, TW Hunde, HZ Hailu - Adv. Fixed Point Theory, 2018 - scik.org
Let C be a nonempty closed convex subset of a uniformly convex Banach space endowed
with a transitive directed graph G=(V (G), E (G)), such that V (G)= C and E (G) is convex. We …

Strong convergence of an explicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces

B GÜNDÜZ, S Akbulut - Miskolc Mathematical Notes, 2013 - avesis.ebyu.edu.tr
In this paper, we study strong convergence of an iteration process for a finite family of
asymptotically quasi-nonexpansive mappings in convex metric spaces. We prove some …