Fixed point results in generalized metric spaces without Hausdorff property

Fixed point results in fuzzy metric-like spaces

In this paper,  the concept of fuzzy metric-like spaces is introduced which generalizes  the notion of fuzzy metric spaces given by George and Veeramani cite{Vee1}. Some fixed point results for fuzzy contractive mappings on fuzzy metric-like spaces are derived. These results generalize several comparable results from the current literature. We also provide illustrative examples in support of ou...

A Fixed Point Theorem in Generalized D-metric Spaces

Some Fixed Point Results for the Generalized $F$-suzuki Type Contractions in $b$-metric Spaces

Compared with the previous work, the aim of  this paper is to introduce the more general concept of the generalized $F$-Suzuki type contraction mappings in $b$-metric spaces, and to establish some fixed point theorems in the setting of $b$-metric spaces. Our main results unify, complement and generalize the previous works in the existing literature.

Coupled fixed point results in generalized metric spaces

The study of fixed points of mappings satisfying certain contractive conditions has been at the center of rigorous research activity, see 1–3 . The notion ofD-metric space is a generalization of usual metric spaces and it is introduced by Dhage 4–7 . Recently, Mustafa and Sims 8, 9 have shown that most of the results concerning Dhage’sD-metric spaces are invalid. In 8, 9 , they introduced an im...

Fixed Point Results for Generalized Contractive Multimaps in Metric Spaces

The concept of generalized contractive multimaps in the setting of metric spaces is introduced, and the existence of fixed points for such maps is guaranteed under certain conditions. Consequently, our results either generalize or improve a number of fixed point results including the corresponding recent fixed point results of Ciric 2008 , Latif-Albar 2008 , Klim-Wardowski 2007 , and Feng-Liu 2...