In this paper, we consider a new distance structure, extended Branciari b-distance, to
combine and unify several distance notions and obtain fixed point results that cover several …

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 …

In 1976, Caristi fixed point theorem was proved for ordinary metric spaces. After that, it was
shown that this result is equivalent to Ekeland variational principle which has a great …

We introduce M vb‐metric to generalize and improve M v‐metric and unify numerous
existing distance notions. Further, we define topological notions like open ball, closed ball …

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 …

FIXED POINT THEOREMS FOR α − ψ− CONTRACTIVE MAPPING IN Sb-METRIC SPACES 1.
Introduction Throughout this paper, denote all Page 1 Journal of Mathematical Analysis ISSN …

In this paper, we introduce the concept of M ν M_ν-metric as a generalization of M-metric
and ν-generalized metric and also prove an analogue of Banach contraction principle in an …

One of the frequently studied approaches in metric fixed-point theory is the generalization of
the used metric space. Under this approach, in this study, we introduce a new extension of M …

In this paper, we enlarge the class of rectangular M-metric spaces by considering the class
of rectangular Mb-metric spaces and utilize the same to prove an analogue of Banach …

In this paper, we present a new notion which is called an extended Mb-metric space as a
generalization of an Mb-metric space. We investigate some basic and topological properties …