On the structure of the set of coincidence points
Journal Article
·
· Sbornik. Mathematics
- Peoples Friendship University of Russia, Moscow (Russian Federation)
- Voronezh State University (Russian Federation)
We consider the set of coincidence points for two maps between metric spaces. Cardinality, metric and topological properties of the coincidence set are studied. We obtain conditions which guarantee that this set (a) consists of at least two points; (b) consists of at least n points; (c) contains a countable subset; (d) is uncountable. The results are applied to study the structure of the double point set and the fixed point set for multivalued contractions. Bibliography: 12 titles.
- OSTI ID:
- 22590458
- Journal Information:
- Sbornik. Mathematics, Vol. 206, Issue 3; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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