In this paper, we introduce an interesting extension of the S-metric spaces called Sb-metric
spaces, in which we show the existence of fixed point for a self mapping defined on such …

Abstract Sedghi et al.(Mat. Vesn. 64 (3): 258-266, 2012) introduced the notion of a S-metric
as a generalized metric in 3-tuples S: X 3→ 0,∞) S:X^3→0,∞), where X is a nonempty set …

Recently, S-metric spaces are introduced as a generalization of metric spaces. In this paper,
we consider the relationships between of an S-metric space and a metric space, and give an …

In this paper, we present some contractive mappings and prove new generalized fixed point
theorems on S-metric spaces. Also we define the notion of a cluster point and investigate …

In this paper, we prove some fixed point theorems for 𝑔-monotone maps on partially ordered
𝑆-metric spaces. Our results generalize fixed point theorems in [1] and [7] for maps on metric …

In this paper our aim is to study some fixed-circle theorems on 5 metric spaces. For this
purpose we give new examples of S-metric spaces and investigate some relationships …

In this paper, we present new fixed‐circle theorems for self‐mappings on an S‐metric space
using some Wardowski type contractions, ψ‐contractive, and weakly ψ‐contractive self …

Geometric properties of the fixed point set $ Fix (f) $ of a self-mapping $ f $ on a metric or a
generalized metric space is an attractive issue. The set $ Fix (f) $ can contain a geometric …

Recently, a new geometric approach which is called the fixed-circle problem has been
gained to fixed-point theory. The problem is introduced and studied using different …

Very recently, N. Souayan and N. Mlaiki [Nazir Souayan and Nabil Mlaiki, A fixed point
theorem in Sb-metric spaces, J. Math. Comput. Sci. 16 (2016), 131-139] and S. Sedghi et …