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Nonlinear relaxed cocoercive variational inclusions involving (A, η)-accretive mappings in banach spaces

✍ Scribed by Heng-You Lan; Yeol Je Cho; R.U. Verma

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
546 KB
Volume
51
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, we introduce a new concept of (A, *?)-accretive mappings, which generalizes the existing monotone or accretive operators. We study some properties of (A, 7/)-accretive mappings and define resolvent operators associated with (A, q)-aecretive mappings. By using the new resolvent operator technique, we also construct a new perturbed iterative algorithm with mixed errors for a class of nonlinear relaxed cocoercive variational inclusions involving (A, r/)-accretive mappings and study applications of (A, r~)-accretive mappings to the approximation-solvability of this class of nonlinear relaxed cocoercive variational inclusions in q-unifornfly smooth Banach spaces. Our results improve and generalize the corresponding results of recent works. @

📜 SIMILAR VOLUMES

Stability of iterative processes with er
Stability of iterative processes with errors for a system of nonlinear -accretive variational inclusions in Banach spaces
✍ Heng-you Lan 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 317 KB

In this paper, by using the concept of (A, η)-accretive mappings and the new resolvent operator technique associated with (A, η)-accretive mappings, we introduce and study a system of general mixed quasivariational inclusions involving (A, η)-accretive mappings in Banach spaces, and construct a new