학술논문
Fixed Point Theorems for Multivalued Mappings in Banach Spaces
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- 영문명
- 발행기관
- 충청수학회
- 저자명
- JONG SOOK BAE MYOUNG SOOK PARK
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 3, No. 1, 103~110쪽, 전체 8쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 1990.06.30
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국문 초록
영문 초록
Let K be a nonempty weakly compact convex subset of a Banach space X and T: K → C(X) a nonexpansive mapping satisfying PT(x) ∩ cl IK(x) ≠0. We first show that if I-T is semiconvex type then T has a fixed point. Also we obtain the same result without the condition that I - T is semiconvex type in a Banach space satisfying Opial’s condition. Lastly we extend the result of [5] to the case, that T is an 1-set contraction mapping.
목차
ABSTRACT
I. Introduction
II. Some fixed point theorems
REFERENCES
키워드
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- On the Radon-Nikodym Derivative of a Measure Taking Values in a Dual Banach Space
- A Decomposition of Positive Linear Operators on the Ordered Space of 2×2 Hermitian Matrices into a Sum of Four Extreme Operators
- A Note on Total Stability
- A Note on Gronwall’s Inequality
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참고문헌
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