Results 91 to 100 of about 1,226,787 (172)

Strong and weak convergence theorems for asymptotically nonexpansive mappings

Journal of Mathematical Analysis and Applications, 2003
This article deals with iterations \(x_n\) defined by the formula \[ x_{n+1} = P(((1 - \alpha_n)x_n + \alpha_nT(PT)^{n-1}x_n), \quad n = 1,2,\ldots, \;x_1 \in K \] where \(K\) is a nonempty closed convex nonexpansive retract in a real uniformly convex Banach space \(E\), \(P\) a nonexpansive retraction, \(T: \;K \to E\) an asymptotically nonexpansive ...
Chidume, C.E., Ofoedu, E.U., Zegeye, H.
openaire   +1 more source

Weak and strong convergence of an explicit iteration process for an asymptotically quasi-i-nonexpansive mapping in Banach spaces

, 2012
In this paper, we prove the weak and strong convergence of an explicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasi-nonexpansive mapping I, defined on a nonempty closed convex ...
Purtas, Yunus, KIZILTUNÇ, Hükmi
core  

Three-step iterations for total asymptotically nonexpansive mappings in CAT(0) spaces

, 2017
In this paper, we establish strong and ?-convergence theorems of modified three-step iterations for total asymptotically nonexpansive mapping which is wider than the class asymptotically nonexpansive mappings in the framework of CAT(0) spaces ...
Gurucharan Saluja, Mihai Postolache
core   +1 more source

Approximating Common Solution of Minimization Problems Involving Asymptotically Quasi-Nonexpansive Multivalued Mappings

, 2022
In this paper, an iterative scheme for finding common solutions of the set of fixed points for a pair of asymptotically quasi-nonexpansive mapping and the set of minimizers for the minimization problem is constructed.
Imo Kalu Agwu, Naeem Saleem, Min Wang, Umar Ishtiaq   +3 more
core   +1 more source

An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings

Fixed Point Theory and Applications, 2011
In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative ...
Qin Xiaolong, Kang Shin, Agarwal Ravi
doaj  

Hybrid Mann Viscosity Implicit Iteration Methods for Triple Hierarchical Variational Inequalities, Systems of Variational Inequalities and Fixed Point Problems

Mathematics, 2019
In the present work, we introduce a hybrid Mann viscosity-like implicit iteration to find solutions of a monotone classical variational inequality with a variational inequality constraint over the common solution set of a general system of variational ...
Lu-Chuan Ceng, Qing Yuan
doaj   +1 more source

Weak convergence theorems for asymptotically nonexpansive nonself-mappings

Applied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weiping Guo, Wei Guo
openaire   +2 more sources

Inertial-Like Subgradient Extragradient Methods for Variational Inequalities and Fixed Points of Asymptotically Nonexpansive and Strictly Pseudocontractive Mappings

Mathematics, 2019
Let VIP indicate the variational inequality problem with Lipschitzian and pseudomonotone operator and let CFPP denote the common fixed-point problem of an asymptotically nonexpansive mapping and a strictly pseudocontractive mapping in a real Hilbert ...
Lu-Chuan Ceng, Adrian Petruşel, Ching-Feng Wen, Jen-Chih Yao   +3 more
doaj   +1 more source

Momentum-Net: Fast and Convergent Iterative Neural Network for Inverse Problems. [PDF]

IEEE Trans Pattern Anal Mach Intell, 2023
Chun IY, Huang Z, Lim H, Fessler JA.
europepmc   +1 more source

A fixed point theorem for asymptotically nonexpansive mappings

, 1972
Let K be a subset of a Banach space X. A mapping F : K → K F:K \to K is said to be asymptotically nonexpansive if there exists a sequence { k i
W. A. Kirk, K. Goebel
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