Iterative approximation of fixed points of almost contractions

被引：2
|
作者：
Berinde, Vasile [1 ]
Pacurar, Madalina [2 ]
机构：
[1] North Univ Baia Mare, Dept Math & Comp Sci, Victoriei 76, Baia Mare 430122, Romania
[2] Babes Bolyai Univ Cluj, Fac Econ, Dept Stat Forecast & Math, Cluj Napoca 400591, Romania
来源：
NINTH INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND NUMERIC ALGORITHMS FOR SCIENTIFIC COMPUTING, PROCEEDINGS | 2007年
关键词：
D O I：
10.1109/SYNASC.2007.49
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
In this paper we present a very general class of weakly Picard mappings. The fixed point theorems thus obtained are generalizations of the well-known contraction mapping principle for single-valued mappings and of several of its subsequent generalizations, as well as of the well-known Nadler's fixed point theorem for multi-valued mappings and of many of its recent and very recent extensions. The fixed points are approximated by means of Picard. iteration in both single and multi-valued case.
引用
收藏
页码：387 / +
页数：2
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