SOME GEOMETRIC CHARACTERIZATIONS OF A FRACTIONAL BANACH SET

被引：5
|
作者：
Ozger, Faruk [1 ]
机构：
[1] Izmir Katip Celebi Univ, Dept Engn Sci, TR-35620 Izmir, Turkey
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2019年 / 68卷 / 01期
关键词：
Reflexivity; convexity; fixed point property; approximative compactness; BAND MATRIX B((R)OVER-TILDE; DIFFERENCE SEQUENCE-SPACES; (S)OVER-TILDE); CONVERGENCE; CONVEXITY; DOMAIN; NULL;
D O I：
10.31801/cfsuasmas.423046
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to investigate the modular structure of a fractional Banach set of sequences and prove that this set is reflexive and convex and it possesses uniform Opial, (beta), (L) and (H) properties. The convexity of the set is investigated by the notion of extreme points. These properties play an important role both in the study of.xed point theory and in the geometric characterizations of the Banach sets of sequences. This study extends the scope of the fractional calculus and it is related with.xed point and approximation theories.
引用
收藏
页码：546 / 558
页数：13
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