Banach‐Steinhaus Principle for Convex Multivalued Mappings
https://doi.org/10.1002/mana.19861260106Publisher, magazine: ,
Publication year: 1986
Lưu Trích dẫn Chia sẻAbstract
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.
Tags: Banach-Steinhaus principle; norm of a multivalued mapping; convex multivalued mappings; stability of solutions
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