학술저널
Fixed Point Theorems in Product Spaces
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 6, No. 1
-
1993.0653 - 57 (5 pages)
- 0
Let E and F be Banach spaces with X ⊂ E and Y ⊂ F. Suppose that X is weakly compact, convex and has the fixed point property for a nonexpansive mapping, and Y has the fixed point property for a multivalued nonexpansive mapping. Then (X ⊕ Y)p, 1 ≤ p < ∞ has the fixed point property for a multivalued nonexpansive mapping. Furthermore, if X has the generic fixed point property for a nonexpansive mapping, then (X ⊕ Y)∞ has the fixed point property for a multivalued nonexpansive mapping.
ABSTRACT
1. Introduction
2. Results
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