Open access

DOI: 10.24193/fpt-ro.2019.1.11

Authors: G. García

Abstract: The purpose of this paper is to show, under suitable conditions, an iterative procedure which if converges, the limit point is a coincidence point of two given itself mappings defined in a subset of a metric space. Also, under additional conditions, the convergence of proposed iterative procedure holds. Our main tool will be the so called α-dense curves, which allow us to construct such procedure in a stable way, in the specified sense, providing also a bound for the error approximation at each iteration. To justify our result, we will analyze certain integral equations of Volterra type.

Key Words and Phrases: Coincidence points, iterative procedures, α-dense curves.

2010 Mathematics Subject Classification: 55M20, 47J25, 47H10.

Published on-line: February 1st, 2019.

Abstract pdf          Fulltext pdf

Back to volume's table of contents