Global Analysis and Discrete Mathematics Volume 6, Issue 1, pp. 109–129 ISSN: 2476-5341 Research Article Soft G-Metric Spaces for Fixed Point Theorems Khelghat Amini Sefidab · Hasan Hosseinzadeh · Ali Bagheri Vakilabad · Rasoul Abazari Received: 12 March 2021 / Accepted: 23 June 2021 Abstract In this article, we the concept of soft G-metric space and continuous soft mapping on it introduce. We also the Banach fixed point theorem in complete soft G-metric spaces investigate. Keywords Soft G-metric space · Fixed point · Banach fixed point theorem · Soft set · G -Cauchy soft sequence · G -convergent soft sequence Mathematics Subject Classification (2010) 47H10 · 54H25 1 Introduction In [2], the concept of soft sets for dealing with uncertain objects as a general mathematical tool introduced. In [1], several basic notions of soft set theory were defined and studied. Later, in [4] the concepts of soft closed sets, soft open sets, soft closure, soft separation and soft interior axioms were introduced. In this paper, we bring basic definitions of soft sets and we define soft G- metric on soft sets and we soft and complete soft G-metric spaces introduce. Kh. Amini Sefidab Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran E-mail: hadi.23bonab@gmail.com & s.hadibonab@iauardabil.ac.ir H. Hosseinzadeh (Corresponding Author) Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran Tel.: +98-9144560868 E-mail: hasan hz2003@yahoo.com & hasan.hosseinzadeh@iauardabil.ac.ir A. Bagheri Vakilabad Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran E-mail: alibagheri1385@yahoo.com R. Abazari Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran E-mail: rasoolabazari@gmail.com & r.abazari@iauardabil.ac.ir