Table of Contents Author Guidelines Submit a Manuscript
Abstract and Applied Analysis
Volume 2003, Issue 7, Pages 407-433
http://dx.doi.org/10.1155/S1085337503211015

Revisiting Cauty's proof of the Schauder conjecture

1Department of Mathematics, Pittsburg State University, Pittsburg 66762, KS, USA
2Department of Mathematics, University of Missouri-Columbia, Columbia 65211, MO, USA

Received 18 April 2002

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [6 citations]

The following is the list of published articles that have cited the current article.

  • In-Sook Kim, “Fixed points of condensing multivalued maps in topological vector spaces,” Fixed Point Theory and Applications, vol. 2004, no. 2, pp. 107–112, 2004. View at Publisher · View at Google Scholar
  • Sehie Park, “Recent results in analytical fixed point theory,” Nonlinear Analysis: Theory, Methods & Applications, vol. 63, no. 5-7, pp. 977–986, 2005. View at Publisher · View at Google Scholar
  • S. Barroso Cleons, “The approximate fixed point property in HausdorfF topological vector spaces and applications,” Discrete and Continuous Dynamical Systems, vol. 25, no. 2, pp. 467–479, 2009. View at Publisher · View at Google Scholar
  • Y. Peretz, “On applications of Schauderʼs fixed-point theorem for the solution of the non-symmetric algebraic Riccati equation,” Linear Algebra and its Applications, vol. 445, pp. 29–55, 2014. View at Publisher · View at Google Scholar
  • Joel H. Shapiro, and Joel H. Shapiro, “The Schauder Fixed-Point Theorem,” A Fixed-Point Farrago, pp. 75–81, 2016. View at Publisher · View at Google Scholar
  • W. Kulpa, A. Szymanski, and M. Turzański, “Fixed point theorems and $$L^{*}$$L∗-operators,” Journal of Fixed Point Theory and Applications, vol. 20, no. 1, 2018. View at Publisher · View at Google Scholar