Generic Existence and Approximation of Points of Coincidence for Nonlinear Mappings

Alexander J. Zaslavski

Abstract

We study a space of nonlinear self-mappings of a complete metric space which is not necessarily bounded and show that a point of coincidence exists for a generic (typical) map.

Author information

Contact details are reproduced from the original publication and may be historical.

Alexander J. Zaslavski

Department of Mathematics, The Technion -- Israel Institute of Technology, Haifa, Israel

ajzasl@technion.ac.il

Keywords

Coincidence point
complete metric space
genericity
nonlinear mapping

Mathematics Subject Classification

47H09, 47H10, 54E50

Suggested citation

A. J. Zaslavski. “Generic Existence and Approximation of Points of Coincidence for Nonlinear Mappings.” Journal of Convex Analysis 33 (2026), No. 3&4, 1105–1114.