TWO GENERAL FIXED POINT THEOREMS UNDER STRICT IMPLICIT RELATIONS IN G - METRIC SPACES

  • VALERIU POPA
    “Vasile Alecsandri" University of Bacău, Faculty of Sciences, Department of Mathematics, Informatics and Educational Sciences, Calea Mărăşeşti 157, Bacău 600115, Romania
    vpopa@ub.ro
  • ALINA-MIHAELA PATRICIU
    “Vasile Alecsandri" University of Bacău, Faculty of Sciences, Department of Mathematics, Informatics and Educational Sciences, Calea Mărăşeşti 157, Bacău 600115, Romania
    alina.patriciu@ub.ro

Abstract

In this paper two fixed point theorems are proved, which extend the main results from [31] (V. Popa and A.-M. Patriciu, (E.A) - property and altering distances in metric spaces, Sci. Stud. Res., Ser. Math. Inform. 22, 1(2012), 93-102) to G - metric spaces and generalizing Theorem 2.1 [4] (M Abbas, T Nazir and D. Dorić, Common fixed points of mappings satisfying (E.A) property in generalized metric spaces, Appl. Math. Comput. 28 (2012), 7665-7670) for mappings satisfying (E.A.) property under strict implicit relations.

Cuvinte cheie

fixed point (E.A) property weakly compatible mappings G - metric space implicit relation