Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1
SOME GEOMETRIC CHARACTERIZATIONS OF A FRACTIONAL BANACH SET
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 546–558
- DOI
- —
Abstract
This paper is devoted to investigate the modular structure of afractional Banach set of sequences and prove that this set is reáexive andconvex and it possesses uniform Opial, (), (L) and (H) properties. Theconvexity of the set is investigated by the notion of extreme points. Theseproperties play an important role both in the study of Öxed point theory andin the geometric characterizations of the Banach sets of sequences. This studyextends the scope of the fractional calculus and it is related with Öxed pointand approximation theories.