In this paper, we initiate the concept of orthogonal partial b‐metric spaces. We ensure the
existence of a unique fixed point for some orthogonal contractive type mappings. Some …

The purpose of this paper is to introduce the notion of R-metric spaces and give a real
generalization of Banach fixed point theorem. Also, we give some conditions to construct the …

In this paper, we introduce the concept of generalized orthogonal F‐Suzuki contraction
mapping and prove some fixed point theorems on orthogonal b‐metric spaces. Our results …

In this paper, we establish the existence and uniqueness of common coupled fixed point
results for three covariant mappings in bipolar metric spaces. Moreover, we give an …

In this article, we introduce the concept of orthogonal m-metric space and prove some fixed
point theorems in this space. Furthermore, we obtain results that extend and improve certain …

In this paper, we introduce the concept of orthogonal contractive mappings and prove some
fixed point theorems for such contractions. We establish our results in orthogonal bounded …

Since Gordji et al. suggested the concept of the orthogonal set, many authors investigated a
uniqueness of best proximal point, but they used continuity of metric. Here, we proved the …

In 1984, Khan et al.[3] established some fixed point theorems in complete and compact
metric spaces by using altering distance functions. In 2017, Gordji et al.[2] described the …

The idea of symmetry is a built-in feature of the metric function. In this paper, we investigate
the existence and uniqueness of a fixed point of certain contraction via orthogonal triangular …

Solving an Integral Equation via Orthogonal Branciari Metric Spaces Page 1 Research
Article Solving an Integral Equation via Orthogonal Branciari Metric Spaces Aiman …