The first aim to this paper is introduce the notions of bipolar fuzzy soft metric space and (D-)metric space. In order define these concepts, concept points has been brought literature have examined in detail. Moreover, sequences cauchy were defined some their properties examined. addition all this, many examples are given better understand concepts features studied contribute a understanding p...

The aim of this manuscript is to introduce the concept fuzzy b-metric-like spaces and discuss some related fixed point results. Some examples are imparted illustrate feasibility proposed methods. Finally, validate superiority obtained results, an application provided solve a first kind Fredholm type integral equations.

The concept of a bipolar metric space is presented in this article. In fuzzy space, the notions continuous t-norms and symmetry $$t_s$$ -conorms employs important role. Requirements triangular norms are used to extrapolate with probability density function triangle inequality. Dual processes known as conorms. Continuous define paper. Besides, number topological functional properties have been s...

It is well known that each bounded ultraquasi-metric on a set induces, in a natural way, an [0,1]-fuzzy poset. On the other hand, each [0,1]-fuzzy poset can be seen as a stationary fuzzy ultraquasi-metric space for the continuous t-norm Min. By extending this construction to any continuous t-norm, a stationary fuzzy quasi-metric space is obtained. Motivated by these facts, we present several co...