A nonstandard approach to asymptotic fixed point theorems-Reference-Cited by-同舟云学术

A nonstandard approach to asymptotic fixed point theorems

Published:2022-12-23 Issue:1 Volume:25 Page:
ISSN:1661-7738
Container-title:Journal of Fixed Point Theory and Applications
language:en
Short-container-title:J. Fixed Point Theory Appl.

Author:

Lindstrøm Tom^ORCID,Ross David A.

Abstract

AbstractWe use methods from nonstandard analysis to unify and extend results from the theory of asymptotic fixed points on metric spaces. Among the topics we consider are Kirk’s asymptotic fixed point theorem with extensions, Boyd and Wong’s fixed point theorem, and Suzuki’s fixed point theorem for asymptotic contractions of the Meier–Keeler type. We also show how Suzuki’s asymptotic contractions of the final type can be modified to yield uniform convergence on compact and bounded sets.

Funder

University of Oslo

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://link.springer.com/content/pdf/10.1007/s11784-022-01028-6.pdf

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