A fixed point theorem in G - metric spaces for mappings using auxiliary functions

Authors

  • A.-M. Patriciu Dunarea de Jos University of Galati, Romania
  • V. Popa Vasile Alecsandri University of Bacau, Romania

DOI:

https://doi.org/10.31926/but.mif.2019.12.61.2.19

Keywords:

fixed point, G - metric space, auxiliary function, implicit relation

Abstract

In this paper, we introduce a new type of implicit relation and we prove a generally fixed point theorem in G - metric spaces using two auxiliary functions, generalizing Theorem 3.3 [1].

Author Biographies

A.-M. Patriciu, Dunarea de Jos University of Galati, Romania

Department of Mathematics and Computer Sciences, Faculty of Sciences and Environment

V. Popa, Vasile Alecsandri University of Bacau, Romania

Faculty of Sciences

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Published

2020-01-20

Issue

Vol. 12(61) No. 2 (2019)

Section

MATHEMATICS