In this paper, we prove a strong convergence theorem by the hybrid method for a countable family of relatively nonexpansive mappings in a Banach space. We also establish a new control condition for the sequence of mappings {T n } which is weaker than the control condition in Lemma 3.1 of Aoyama et a
โฆ LIBER โฆ
A modified Halpern-type iteration algorithm for a family of hemi-relatively nonexpansive mappings and systems of equilibrium problems in Banach spaces
โ Scribed by Ziming Wang; Yongfu Su; Dongxing Wang; Yucai Dong
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 233 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0377-0427
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System of (A, ฮท)-accretive mapping inclusions Resolvent operator technique Iterative algorithm Convergence and stability a b s t r a c t In this paper, we introduce and study a new system of (A, ฮท)-accretive mapping inclusions in Banach spaces. Using the resolvent operator associated with (A, ฮท)-ac