On uniform opial condition, Uniform Kadec-Klee property in modular spaces and application to fixed point theory

被引：4

作者：

Kumam, Poom ^{[1
]}

机构：

[1] King Mongkuts Univ Technol Thonburi, Dept Math, Bangkok 10140, Thailand

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2005年 / 8卷 / 03期

关键词：

Uniform opial condition; uniform Kadec-Klee property; fixed point; modular space; rho-nonexpansive mapping; rho-normal structure;

D O I：

10.1080/09720502.2005.10700415

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we define an uniform opial condition and uniform Kadec-Klee property in sense of modular spaces. The main purpose of this paper is to extend the results of uniform opial condition and uniform Kadec-Klee property in Banach spaces to modular spaces X-rho.

引用

页码：377 / 385

页数：9

共 50 条

[21] Uniform Kadec-Klee properties of Orlicz-Lorentz sequence spaces equipped with the Orlicz norm
Di Wang
Yunan Cui
Positivity, 2022, 26
[22] Uniform Kadec-Klee properties of Orlicz-Lorentz sequence spaces equipped with the Orlicz norm
Wang, Di
Cui, Yunan
POSITIVITY, 2022, 26 (02)
[23] The fixed point property in Banach spaces via the strict convexity and the Kadec–Klee property
E. Hanebaly
Journal of Fixed Point Theory and Applications, 2020, 22
[24] Kadec-Klee Property in Orlicz Function Spaces Equipped with S-Norms
Dong, Jiaqi
Cui, Yunan
Wisla, Marek
JOURNAL OF FUNCTION SPACES, 2022, 2022
[25] Kadec-Klee property in Musielak-Orlicz function spaces equipped with the Orlicz norm
Yunan Cui
Li Zhao
Aequationes mathematicae, 2022, 96 : 167 - 184
[26] Kadec-Klee property with respect to the local convergence in measure of Orlicz-Lorentz spaces
Foralewski, Pawel
Konczak, Joanna
MATHEMATISCHE NACHRICHTEN, 2024, 297 (05) : 1793 - 1817
[27] BANACH-SPACES WITH THE UNIFORM OPIAL PROPERTY
PRUS, S
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 18 (08) : 697 - 704
[28] THE FIXED POINT PROPERTY AND THE OPIAL CONDITION ON TREE-LIKE BANACH SPACES
Poulios, Costas
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2015, 45 (04) : 1245 - 1282
[29] Fixed point theory for cyclic(φ) - Contractions in uniform spaces
Sedghi, S. (sedghi.gh@qaemshahriau.ac.ir), 1600, Gazi Universitesi (27):
[30] UNIFORM KADEC-KLEE-HUFF PROPERTIES OF VECTOR-VALUED HARDY-SPACES
DOWLING, PN
LENNARD, CJ
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1993, 114 : 25 - 30

← 1 2 3 4 5 →