巴拿赫空间中广义向量F的隐互补类问题
Generalized Vector F-Implicit Complementarity-Like Problems in Banach Spaces
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摘要: 在一些恰当的假设条件下,利用Fan-KKM定理研究了巴拿赫空间中一类新的广义向量F的隐互补类问题及与其相关的一类广义向量F的隐变分类不等式问题,证明了在巴拿赫空间中这两类问题在一定条件下的等价性,利用这一等价性也证明了解的存在性定理.Abstract: In this work, we present some new existence theorems of solutions for a new class of generalized vector F-implicit complementarity-like problems and the corresponding generalized vector F-implicit variational-like ine-quality problems by using the Fan-KKM theorem under some suitable assumptions without monotonieity, and the e-quivalence between them under certain assumptions is presented in Banach spaces.
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