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Fixed point theorems of generalized contractions and their applications.

Authors :
Barcz, Eugeniusz
Source :
Annales Universitates Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia; 2022, Vol. 14, p5-11, 7p
Publication Year :
2022

Abstract

The paper presents some theorems about fixed points of nonexpansive mappings of certain convex subsets of Banach spaces, as well as examples of applications of these theorems, among others, to justify the correctness of the square roots approximation process in Heron's algorithm (from the 1st century AD). [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20809751
Volume :
14
Database :
Complementary Index
Journal :
Annales Universitates Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia
Publication Type :
Academic Journal
Accession number :
169802563
Full Text :
https://doi.org/10.24917/20809751.14.1