A new class of nonexpansive type mappings and fixed points

Author: iri L.B.

Source: Czechoslovak Mathematical Journal, Volume 49, Number 4, December 1999 , pp. 891-899(9)

Publisher: Springer

Abstract:

In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.

Keywords: nonexpansive type mapping; asymptotically regular mapping; fixed point

Language: English

Document Type: Research article

Affiliations: 1: Faculty of Mechanical Engineering, 27. march 80, 11000 Belgrade, Yugoslavia

Publication date: 1999-12-01

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• In this Subject: Mathematics and Statistics
• By this author: iri L.B.

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