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Banach-Steinhaus Principle for Convex Multivalued Mappings

โœ Scribed by Nguyen Xuan Tan

Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
368 KB
Volume
126
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

This paper will present some relations between the lower semi-equicontinuity of some family of multivalued mappings from a normed apace into another one and their norms. Further, the BANA~E-STEINEAUS 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.

๐Ÿ“œ SIMILAR VOLUMES

Continuous Selections for Multivalued Ma
Continuous Selections for Multivalued Mappings with Closed Convex Images and Applications
โœ Hong-xu Li; Fa-lun Huang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 76 KB

Some existence theorems of continuous selections for multivalued mappings with closed convex images are proved. As some simple applications, we give some results on fixed points and differential inclusions. The results presented in this paper generalize some recent results.