\(M\)-constants, Dominguez-Benavides coefficient, and weak fixed point property in Orlicz sequence spaces equipped with the \(p\)-Amemiya norm

DOI10.1186/s13663-016-0576-6zbMath1390.46019OpenAlexW2516074864WikidataQ59466483 ScholiaQ59466483MaRDI QIDQ2012265

Marek Wisła, Henryk Hudzik, Yun An Cui

Publication date: 28 July 2017

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-016-0576-6

zbMATH Keywords

Orlicz sequence spacefixed point propertyFatou property\(p\)-Amemiya norm\(M\)-constantsDomìnguez-Benavides constantsisomorphic copies of \(\ell^1\)weak orthogonality: \(\delta_2\)-condition

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Banach sequence spaces (46B45)

Related Items

Uniform rotundity in every direction of Orlicz function spaces equipped with the \(p\)-Amemiya norm

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-squareness properties of Orlicz spaces equipped with the \(p\)-Amemiya norm
• Monotonicity properties and dominated best approximation problems in Orlicz spaces equipped with the \(p\)-Amemiya norm
• Orlicz spaces and modular spaces
• Basic theory of \(p\)-Amemiya norm in Orlicz spaces (\(1\leq p\leq \infty\)): Extreme points and rotundity in Orlicz spaces endowed with these norms
• Strongly extreme points in Orlicz spaces equipped with the \(p\)-Amemiya norm
• Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm
• The fixed point property in Banach spaces with the NUS-property
• Certain numerical characteristics of KN-lineals
• Banach lattices which are order uniformly noncreasy
• On the theory of partially ordered Banach spaces
• Geometric properties of Orlicz spaces equipped with \(p\)-Amemiya norms − results and open questions
• Uniformly non-$l_{n}^{(1)}$ Orlicz spaces with Luxemburg norm
• Some Applications of the L -Constants and M -Constants on Banach Lattices
• Weak orthogonality and weak property (β) in some banach sequence spaces
• Amemiya norm equals Orlicz norm in general