Fixed point theorems for interior transformations
نویسندگان
چکیده
منابع مشابه
Fixed Point Theorems for Interior Transformations
PROOF. Let U be an open neighborhood of x. By Lemma 4 there exists a compact set M in T such that xMC U and HQSM*. Let V be a neighborhood of x for which VMQ U. There exists an admissible set A such that AC.2 and xAQV. Hence xAMCU. Define B = SfY4 ikf. Since A QBM", B is an admissible set. Also BC.S and xBQU. The proof is completed. The following theorem is an immediate consequence of Lemmas 5 ...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1948
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1948-09014-0