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Weakly Relaxed $\alpha$-semi-pseudomonotone Set-valued Variational-like Inequalities

이병수|Bok-Doo Lee
한국수학교육학회|2004.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제11권 제3호|pp. 231-242

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Abstract

In this paper, we introduce weakly relaxed -pseudomonotonicity and weakly relaxed -semi-pseudomonotonicity of set-valued maps. Using the KKM technique, we obtain existence of solutions to the variational-like inequalities with weakly relaxed -pseudomonotone set-valued maps in re°exive Banach spaces. We also present the solvability of the variational-like inequalities with weakly relaxed - semi-pseudomonotone set-valued maps in arbitrary Banach spaces using Kakutani- Fan-Glicksberg ¯xed point theorem.

참고문헌 (12)

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관련 논문AI추천

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