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Some existence theorems in nonlinear analysis for mappings on GFC-spaces and applications

✍ Scribed by Nguyen Xuan Hai; Phan Quoc Khanh; Nguyen Hong Quan

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 806 KB
Volume: 71
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2009.06.033

No coin nor oath required. For personal study only.

✦ Synopsis

We establish a maximal element theorem, an intersection theorem and a coincidence-point theorem in product GFC-spaces. As examples of wide ranges of applications, we first deduce sufficient conditions for the solution existence of a mixed system of inclusions. Then using this we obtain existence results for systems of vector quasi-optimization problems and for multiobjective mathematical programs constrained by systems of inclusions. Our results are shown to improve and include recent ones in the literature.

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