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Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems

✍ Scribed by Suthep Suantai; Narin Petrot

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 237 KB
Volume: 24
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2010.10.011

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✦ Synopsis

Stability analysis a b s t r a c t

In this paper, we consider the system of nonlinear quasi-mixed equilibrium problems. The existence theorems of solutions of such problems are provided by considering the limit point of an iterative algorithm. This means, we not only give the conditions for the existence theorems of the presented problems but also provide the algorithm to find such solutions. Moreover, the stability of such an algorithm is also discussed. The results presented in this paper are more general, and may be viewed as an extension, refinement and improvement of the previously known results in the literature.

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