Well-posedness of fixed point problem for mappings satisfying an implicit relation

Author:

Akkouchi Mohamed,Popa Valeriu

Abstract

AbstractThe notion of well-posedness of a fixed point problem has generated much interest to a several mathematicians, for example, F. S. De Blassi and J. Myjak (1989), S. Reich and A. J. Zaslavski (2001), B. K. Lahiri and P. Das (2005) and V. Popa (2006 and 2008). The aim of this paper is to prove for mappings satisfying some implicit relations in orbitally complete metric spaces, that fixed point problem is well-posed.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference4 articles.

1. Well - posedness of fixed point problems Far East Mathematical Special volume Part III;Reich;Journal Sciences,2001

2. Sur la porosite des contractions sans point fixe Academie;De Blassi;Sciences,1989

3. Well - posedness and porosity of certain classes of operators Demonstratio;Lahiri;Math,2005

4. On some maps with non - unique fixed points Publ Inst Belgrad;Ćirić;Math,1974

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