Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and Their Applications
نویسندگان
چکیده
منابع مشابه
Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and Their Applications
and Applied Analysis 3 for all n ∈ N, where x1 x ∈ C and {αn} is a sequence of 0, 1 . Strong convergence of this type of iterative sequence has beenwidely studied: for instance, see 13, 14 and the references therein. In 2006, Martinez-Yanes and Xu 15 have adapted Nakajo and Takahashi’s 10 idea to modify the process 1.5 for a nonexpansive mapping T in a Hilbert space: x0 x ∈ C, yn αnx0 1 − αn Tx...
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and Applied Analysis 3 Moreover, PC is characterized by the following properties: 〈 x − PCx, y − PCx 〉 ≤ 0, ∥ ∥x − y∥∥2 ≥ ‖x − PCx‖ ∥ ∥y − PCx ∥ ∥ 2 , 2.4 for all x ∈ H and y ∈ C. We also need other sorts of nonlinear operators which are introduced below. Let T : H → H be a nonlinear operator. a T is nonexpansive if ‖Tx − Ty‖ ≤ ‖x − y‖ for all x, y ∈ H. b T is firmly nonexpansive if 2T − I is n...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2010
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2010/301305