Iterative algorithms for nonexpansive mappings and some of their generalizations
CE Chidume - Nonlinear Anal.(to V. Lakshmikantham on his 80th …, 2003 - books.google.com
… for approximating fixed points of mapping belonging to subclasses of these classes of … ,
iterative algorithms for approximating fixed points (when they exist) of nonexpansive mappings …
iterative algorithms for approximating fixed points (when they exist) of nonexpansive mappings …
A general iterative algorithm for nonexpansive mappings in Banach spaces
Let $E$ be a real $q$-uniformly smooth Banach space whose duality map is weakly sequentially
continuous. Let $T:E\to E$ be a nonexpansive mapping with $F(T)\neq\emptyset.$ Let $…
continuous. Let $T:E\to E$ be a nonexpansive mapping with $F(T)\neq\emptyset.$ Let $…
Iterative approximation of fixed points of nonexpansive mappings
CE Chidume, CO Chidume - Journal of mathematical analysis and …, 2006 - Elsevier
… Xu also remarked [13, Remark 3.2] that Halpern [3] observed that conditions (1) and (2) are
necessary for the strong convergence of algorithm (1) for all nonexpansive mappings, T :K → …
necessary for the strong convergence of algorithm (1) for all nonexpansive mappings, T :K → …
Convergence theorems of iterative algorithms for a family of finite nonexpansive mappings
JS Jung - Taiwanese Journal of Mathematics, 2007 - projecteuclid.org
… for nonexpansive mappings. The … mapping. Then we establish the strong convergence of
the sequence {xn} generated by the algorithm (1.1) for finitely many nonexpansive mappings to …
the sequence {xn} generated by the algorithm (1.1) for finitely many nonexpansive mappings to …
A general iterative method for nonexpansive mappings in Hilbert spaces
… Consider on H a nonexpansive mapping T with a fixed point, a contraction f with coefficient
0 <α< 1, and a strongly positive linear bounded operator A with coefficient γ > 0. Let 0 <γ < γ /α…
0 <α< 1, and a strongly positive linear bounded operator A with coefficient γ > 0. Let 0 <γ < γ /α…
New faster four step iterative algorithm for Suzuki generalized nonexpansive mappings with an application
… The focus of this paper is to introduce a four step iterative algorithm, called A∗ iterative …
nonexpansive mappings. We prove analytically and numerically that our new iterative algorithm …
nonexpansive mappings. We prove analytically and numerically that our new iterative algorithm …
[PDF][PDF] A new iterative algorithm for approximating common fixed points for asymptotically nonexpansive mappings
HY Zhou, YJ Cho, SM Kang - Fixed Point Theory and Applications, 2007 - Springer
… In this section, we will introduce a new iterative algorithm and prove a new demiclosedness
principle for a non-self-asymptotically nonexpansive mapping in the sense of (1.10). Let E be …
principle for a non-self-asymptotically nonexpansive mapping in the sense of (1.10). Let E be …
The general iterative methods for nonexpansive mappings in Banach spaces
… the iterative method of algorithm (1.9) to a general algorithm defined by a countable family
of nonexpansive mappings?. … of iteration algorithms for a countable family of nonexpansive …
of nonexpansive mappings?. … of iteration algorithms for a countable family of nonexpansive …
Halpern's iteration for nonexpansive mappings
… investigation of Halpern’s iterative algorithm for approximating fixed points of nonexpansive …
nonexpansive mappings. We begin with an implicit algorithm and then Halpern’s algorithm …
nonexpansive mappings. We begin with an implicit algorithm and then Halpern’s algorithm …
Iterative methods for finding minimum-norm fixed points of nonexpansive mappings with applications
Y Yao, HK Xu - Optimization, 2011 - Taylor & Francis
… The set S of fixed points of a nonexpansive mapping T in a Hilbert space is always closed
convex. Assume the set is also nonempty. It is then of interest to find the element x † of this set …
convex. Assume the set is also nonempty. It is then of interest to find the element x † of this set …
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