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Existence of solutions for nonlinear inequalities in G-convex spaces

โœ Scribed by Xie Ping Ding; Jong Yeoul Park; Il Hyo Jung

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
550 KB
Volume
15
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

By

using a fixed-point theorem in G-convex spaces due to the first author, an existence result for abstract nonlinear inequalities without any monotonicity assumptions is established. As a consequence of our result, we obtain some further generalizations of recent known results. As application, an existence theorem for perturbed saddle point problems is obtained in noncompact G-convex spaces.

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