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Banach‐Steinhaus Principle for Convex Multivalued Mappings
Author(s) -
Tan Nguyen Xuan
Publication year - 1986
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19861260106
Subject(s) - mathematics , banach space , equicontinuity , regular polygon , pure mathematics , nonlinear system , normed vector space , discrete mathematics , physics , geometry , quantum mechanics
This paper will present some relations between the lower semi‐equicontinuity of some family of multivalued mappings from a normed space into another one and their norms. Further, the BANACH‐STEINHAUS Principle of the uniform boundedness will be proved for the family of convex multivalued mappings. This result yields some applications on stability of solutions of nonlinear multivalued equations.