WELL-POSEDNESS OF A FIXED POINT PROBLEM USING G-FUNCTIONS

  • MOHAMED AKKOUCHI
    Universite Cadi Ayyad, Faculte des Sciences-Semlalia, Departement de Mathematiques, Av. Prince My Abdellah, BP. 2390, Marrakech, Maroc
    akkouchimo@yahoo.fr
  • VALERIU POPA
    "Vasile Alecsandri" University of Bacău, Faculty of Sciences, Department of Mathematics and Informatics, Calea Mărăşeşti 157, Bacău, 600115, ROMANIA
    vpopa@ub.ro

Abstract

We study the well-posedness of the fixed point problem for asymptotically regular self-mappings of a metric space (X, d) which satisfy a contractive condition (see inequality (2.1)) defined by a G-type function (see [5]). So, in particular, our result provides some improvements to a result of [5].

Cuvinte cheie

Well-posedness fixed point problem fixed points G-type functions metric spaces orbitally complete spaces