On generalized quasi metric spaces

Quasi-metric and Metric Spaces

We give a short review of a construction of Frink to obtain a metric space from a quasi-metric space. By an example we illustrate the limits of the

On Generalized Probabilistic Metric Spaces

In the present paper we study some generalized probabilistic metric spaces. Relationships with another deterministic and probabilistic metric structures are analyzed. A contraction condition for mappings with values into such a generalized probabilistic metric space is given. Fixed point results are proved.

Quasi-contractive Mappings in Fuzzy Metric Spaces

We consider the concept of fuzzy quasi-contractions initiated by '{C}iri'{c} in the setting of fuzzy metric spaces and establish fixed point theorems for quasi-contractive mappings and for fuzzy $mathcal{H}$-contractive mappings on M-complete fuzzy metric spaces in the sense of George and Veeramani.The results are illustrated by a representative example.

On Generalized Complete Metric Spaces

Some fixed point theorems in generalized quasi- partial metric spaces

In this paper, a new concept of generalized quasi-partial metric spaces is presented. Some fixed point results due to Karapinar et. al., [E. Karapinar, I. M. Erhan, A. Öztürk, Math. Comput. Modelling, 57 (2013), 2442–2448] are extended in the setting of the generalized quasi-partial metric spaces. c ©2016 All rights reserved.