ψF\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\psi F}$$\end{document}-Contractions: Not Necessarily Nonexpansive Picard Operators

被引：0
作者：
Nicolae-Adrian Secelean
Dariusz Wardowski
机构：
[1] Lucian Blaga University of Sibiu,Department of Mathematics and Computer Science
[2] University of Łódź,Department of Nonlinear Analysis, Faculty of Mathematics and Computer Science
来源：
Results in Mathematics | 2016年 / 70卷 / 3-4期
关键词：
-contraction; -contraction; nonexpansive; expansive; fixed point; Picard operator; Volterra integral equation; Primary 47H09; Secondary 47H10; 45D05;
D O I：
10.1007/s00025-016-0570-7
中图分类号：
学科分类号：
摘要：
The aim of this paper is to extend the result of Wardowski (Fixed Point Theory Appl 2012:94, 2012) by introducing a new class of Picard operators which strictly includes the family of F-contractions. For such operators some fixed point theorems are proved. It is showed that there exist Picard self-mappings on a complete metric space that are neither nonexpansive nor expansive.
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页码：415 / 431
页数：16
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