Implicit Relaxed and Hybrid Methods with Regularization for Minimization Problems and Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense
نویسندگان
چکیده
منابع مشابه
Hybrid methods with regularization for minimization problems and asymptotically strict pseudocontractive mappings in the intermediate sense
and Applied Analysis 3 (b) η-strongly monotone if there exists a constant η > 0 such that ⟨Sx − Sy, x − y⟩ ≥ η x − y 2 , ∀x, y ∈ C; (12) (c) α-inverse-strongly monotone (α-ism) if there exists a constant α > 0 such that ⟨Sx − Sy, x − y⟩ ≥ α Sx − Sy 2 , ∀x, y ∈ C. (13) Obviously, if S is α-inverse-strongly monotone, then it is monotone and (1/α)-Lipschitz continuous. It can be ...
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and Applied Analysis 3 T is said to be an asymptotically strict pseudocontraction in the intermediate sense if there exists a sequence {kn} ⊂ 1,∞ with kn → 1 as n → ∞ and a constant κ ∈ 0, 1 such that lim sup n→∞ sup x,y∈C (∥ ∥Tx − Tny∥∥2 − kn ∥ ∥x − y∥∥2 − κ∥∥ I − T x − I − T y∥∥2 ) ≤ 0. 1.9 For such a case, T is also said to be an asymptotically κ-strict pseudocontraction in the intermediate ...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2013
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2013/854297