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Iterative algorithms for a general system of generalized nonlinear mixed composite-type equilibria

✍ Scribed by Lu-Chuan Ceng; Sy-Ming Guu; Jen-Chih Yao

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 429 KB
Volume: 60
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2010.05.035

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✦ Synopsis

of generalized nonlinear mixed composite-type equilibria a b s t r a c t

In this paper, we consider and study a general system of generalized nonlinear mixed composite-type equilibria in Hilbert spaces. First, we prove the existence and uniqueness of the solution for this system of generalized nonlinear mixed composite-type equilibria. Second, the Mann iterative method with errors is extended to develop some new iterative algorithms for finding approximate solutions for this system of generalized nonlinear mixed composite-type equilibria. We also derive the strong convergence of the sequences generated by these iterative algorithms in Hilbert spaces.

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