학술저널
Fixed Point Theorems for Multivalued Mappings in Banach Spaces
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 3, No. 1
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1990.06103 - 110 (8 pages)
- 0
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.
ABSTRACT
I. Introduction
II. Some fixed point theorems
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