In this article, we first consider weak convergence theorems of implicit iterative processes for two nonexpansive mappings and a mapping which satisfies condition ( C ). Next, we consider strong convergence theorem of an implicit-shrinking iterative process for two nonexpansive mappings and a relative...
In this chapter, we shall be concerned with certain basic facts pertaining to strong-, weak- and weak* convergences, including the comparison of the strong notion with the weak notion, e.g., strong- and weak measurability, and strong- and weak analyticity. We also discuss the integration ...
Weak Convergence of the GI/GI/1 Queuing System 单服务台排队系统GI/GI/1的弱收敛性质 3. W* convergence in E* space is even weaker than weak convergence,and in reflective space the two are equals. 在E*空间中W*收敛是比弱收敛还要弱的一种收敛,在自反空间中两者等价。
Weak convergence theorems for nonexpansive mappings in Banach spaces The purpose of this paper is to introduce two implicit iteration schemes for approximating fixed points of a nonexpansive mapping T and a finite family of ... S Reich - 《Journal of Mathematical Analysis & Applications》 被引量:...
As E ? E we have fn f in E implies fn f in E . When E is re?exive, De?nitions 2.2 and 2.3 are the same, i.e., weak convergence in E and weak star convergence coincide. ? WEAK AND WEAK STAR CONVERGENCES 3 De?nition 2.5 (strong convergence). Let x ∈ E (resp. f ∈ ...
Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings Author links open overlay panelW.V Petryshyn ∗, T.E Williamson Jr. †Show more Add to Mendeley Share Cite https://doi.org/10.1016/0022-247X(73)90087-5Get rights and content Under an ...
Chidume C E,Bashir A.Weak and strong convergence theorems for finite families of asymptotically non-expansive mappings in Banach spaces. Journal of ... XWATY Hao - 《Advances in Fixed Point Theory》 被引量: 16发表: 2012年 Convergence of Three-Step Iterations Scheme for Nonself Asymptotically ...
Strong and weak convergence theorems for a common zeros of a finite accretive mappings. Wei,L,Tan,RL. Fixed Point Theory Appl . 2014Wei, L, Tan, RL: Strong and weak convergence theorems for common zeros of finite accretive mappings. Fixed Point Theory Appl. 2014 , Article ID 77 (2014)...
Finally, we present the comparison between the behavior of our proposed scheme with a regenerative one for which we can establish strong convergence. Our results show that weak convergence yields a dramatic improvement in the rate of convergence, in addition to the capability of adaptation, or ...
In this chapter, we shall be concerned with certain basic facts pertaining to strong-, weak- and weak* convergences, including the comparison of the strong notion with the weak notion, e.g., strong- and weak measurability, and strong- and weak analyticity. We also discuss the integration ...