On the converse of Banach "fixed-point principle"

DOI10.4064/cm-7-1-41-43zbMath0089.31501OpenAlexW750337621MaRDI QIDQ3264432

Czeslaw Bessaga

Publication date: 1959

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/210681

zbMATH Keywords

functional analysis

Related Items (23)

Revisiting Fryszkowski's problem ⋮ Higher-order Lipschitz mappings ⋮ A converse to a contraction mapping theorem in uniform spaces ⋮ Set-valued topological contractions ⋮ Equilibrium in production chains with multiple upstream partners ⋮ A converse of the Banach contraction principle for partial metric spaces and the continuum hypothesis ⋮ Fixed points and completeness in metric and generalized metric spaces ⋮ Survey on Metric Fixed Point Theory and Applications ⋮ Nonparametric estimation of utility function in first-price sealed-bid auctions ⋮ Fixed point theorems in probabilistic analysis ⋮ A generalization for a finite family of functions of the converse of Browder's fixed point theorem ⋮ On approximate solutions of functional equations of countable order ⋮ Completeness and fixed-points ⋮ Fixed point equations with parameters in the projective model ⋮ A sufficient condition for a finite family of continuous functions to be transformed into ψ-contractions ⋮ Fixed points of mappings of metric spaces ⋮ Risultati recenti sull'equazione di Artin generalizzata ⋮ On a converse to Banach’s Fixed Point Theorem ⋮ A survey on interpolative and hybrid contractions ⋮ Developments in fractal geometry ⋮ A sufficient and necessary condition for the convergence of the sequence of successive approximations to a unique fixed point. II ⋮ A generalization of the Banach contraction principle in noncomplete metric spaces ⋮ Converses to fixed point theorems of Zermelo and Caristi

This page was built for publication: On the converse of Banach "fixed-point principle"