Existence of Solutions to a Generalized System

• 作者: Jia Tao Lin Xing Yali Zhao
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: GENERALIZED SYSTEM C-Strong Pseudomonotonicity Brouwer’s Fixed POINT THEOREM Hemicontinuous MAPPING
• 年，卷（期）: 2012,（6）
• 页码范围: 511-516
• 页数: 6页
• 分类号: O1

摘要

In this paper, we introduce a generalized system (for short, GS) in real Banach spaces. Using Brouwer’s fixed point theorem, we establish some existence theorems for the generalized system without monotonicity. Further, we extend the concept of C-strong pseudomonotonicity and extend Minty’s lemma for the generalized system. And using the Minty lemma and KKM-Fan lemma, we establish an existence theorem for the generalized system with monotonicity in real reflexive Banach spaces. As the continuation of existing studies, our paper present a series of extended results based on existing corresponding results.