An Lp inequality and its applications to fixed point theory and approximation theory-Reference-Cited by-同舟云学术

An Lp inequality and its applications to fixed point theory and approximation theory

Published:1989 Issue:3-4 Volume:112 Page:343-351
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Xu Hong-Kun,Xu Zong-Ben

Abstract

SynopsisAn Lp inequality for l < p < 2 is established and applications to fixed points of uniformly Lipschitz mappings and strongly unique best approximations are given.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. Strongly unique best approximations and centers in uniformly convex spaces

2. Some 𝐿^{𝑝} inequalities and their applications to fixed point theorems of uniformly Lipschitzian mappings

3. On the normal structure coefficient and the bounded sequence coefficient

4. A fixed point theorem for transformations whose iterates have uniform Lipschitz constant

5. Fixed points of uniformly Lipschitzian mappings in spaces with uniformly normal structure

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Strong Convergence of a System of Generalized Mixed Equilibrium Problem, Split Variational Inclusion Problem and Fixed Point Problem in Banach Spaces;Symmetry;2019-05-27

2. Margin Error Bounds for Support Vector Machines on Reproducing Kernel Banach Spaces;Neural Computation;2017-11

3. More on Norm Inequalities;Classical and New Inequalities in Analysis;1993

4. Normal structure coefficients of Lp(Ω);Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1991

5. On Connections between Set and Ball Measures of Noncompactness;Bulletin of the London Mathematical Society;1990-09