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초록· 키워드
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Based on the Schauder fixed point theorem, we give a
Leray-Schauder type fixed point theorem for countably condensing
mappings in a more general setting and apply it to obtain
eigenvalue results on condensing mappings in a simple proof.
Moreover, we present a generalization of Sadovskii's fixed point
theorem for countably condensing self-mappings due to S. J. Daher.
목차
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참고문헌 (11)
참고문헌 신청
/ 1938 / \ref \key 10 \by E.~H. Rothe \paper Zur Theorie der topologischenOrdunung und der Vektorfelder in Banachschen R\
/ 1951 / \ref \key 5 \by J. Dugundji \paper An extension of Tietze'stheorem \jour Pacific J. Math. \vol 1 \yr 1951 \pages 353--367\endref
/ 1955 / \ref \key 4 \by G. Darbo \paper Punti uniti in trasformazioni acodominio non compatto $
/ 1967 / \ref \key 11 \by B.~N. Sadovskii \paper On a fixed pointprinciple $ : 74 ~
/ 1972 / \ref \key 8 \by C.~J. Himmelberg \paper Fixed points of compactmultifunctions \jour J. Math. Anal. Appl. \vol 38 \yr 1972 \pages205--207 \endref
/ 1951 / \ref \key 5 \by J. Dugundji \paper An extension of Tietze'stheorem \jour Pacific J. Math. \vol 1 \yr 1951 \pages 353--367\endref
/ 1955 / \ref \key 4 \by G. Darbo \paper Punti uniti in trasformazioni acodominio non compatto $
/ 1967 / \ref \key 11 \by B.~N. Sadovskii \paper On a fixed pointprinciple $ : 74 ~
/ 1972 / \ref \key 8 \by C.~J. Himmelberg \paper Fixed points of compactmultifunctions \jour J. Math. Anal. Appl. \vol 38 \yr 1972 \pages205--207 \endref
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