- Issue:
- 1999年02期

- Page:
- 93-96

- Research Field:

- Publishing date:

- Title:
- q -Uniformly Convex Metric Space and Its Application

- Author(s):
- Shi Chuan
- School of Sciences,NUST,Nanjing210094

- Keywords:
- systems eng ineering ; cont rol theory; engineering mechanics; f luid mechanics; met ric space

- PACS:
- O177

- DOI:
- -

- Abstract:
- This paper put forw ard a concept of a class new convex met ric space, studied the relat ion betw een this space and Banach, Hardy, Sobelev, etc. space. A necessary and suf ficient condit ion w as gievn for a Banach space of this class convex metric space. It w as proved that H
^{p}, H^{ r , p}, L_{g, p}spaces are all of this class convex met ric spaces when 1< p < +∞, g = max ( 2, p ) and r > 0. T his class convex metric space, w hich is just a new concept , may f ind its applicat ions in many reasarch areas such as system eng ineering , cont rol theory, eng ineering mechanics, fluid mechanics, etc. Moreover, a study of a class fixed point theorems is made in this space, these theorems extended the corresponding recent results.

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- Memo:
- -

Last Update: 2013-03-29