Nguyen Van Dung

On coupled common fixed points for mixed weakly monotone maps in partially ordered S-metric spaces

In this paper, we use the notion of a mixed weakly monotone pair of maps of Gordji et al. (Fixed Point Theory Appl. 2012:95, 2012) to state a coupled common fixed point theorem for maps on partially ordered S-metric spaces. This result generalizes the main results of Gordji et al. (Fixed Point Theory Appl. 2012:95, 2012), Bhaskar, Lakshmikantham (Nonlinear Anal. 65(7):1379-1393, 2006), Kadelburg et al. (Comput. Math. Appl. 59:3148-3159, 2010) into the structure of S-metric spaces.

Remarks on the fixed point problem of 2-metric spaces

In this paper, we prove a fixed point theorem on a 2-metric space and show that the main results in Lahiri et al. (Taiwan. J. Math. 15:337-352, 2011) and Singh et al. (J. Adv. Math. Stud. 5:71-76, 2012) may be obtained easily from the axioms of a 2-metric space. Examples are given to validate the results.

SOME REMARKS ON GENERALIZED METRIC SPACES OF BRANCIARI

In this paper, we prove some properties of a generalized metric space in the sense of Branciari in [1]. As applications, we correct some confusion about this space in the literature. Examples are given to illustrate the results.

Fixed point theorems for weak C-contractions in partially ordered 2-metric spaces

The aim of this paper is to state some fixed point results for weak C-contractions in a partially ordered 2-metric space. Examples are given to illustrate the results.

On sequence-covering msss-images of locally separable metric spaces

This paper gives characterizations of locally separable metric spaces under some sequence-covering msss-mappings by means of certain kind of σ-locally countable networks. As the applications, we get new characterizations of sequence-covering, quotient msss-images of locally separable metric spaces.

On ls-Ponomarev systems and s-images of locally separable metric spaces

AbstractWe introduce the notion of an ls-Ponomarev system (f,M,X,

Well-posedness in the generalized sense of the multivalued fixed point problem

\{ \mathcal{P}_\lambda \}

On the completion of partial metric spaces

), and use this notion to give the necessary and sufficient conditions such that the mapping f is an s-mapping (a compact-covering mapping, a sequence-coveringmapping, a pseudo-sequence-covering mapping, a sequentially quotient mapping) from a locally separable metric space M onto a space X. As applications of these results, we systematically get the internal characterizations of certain s-images of locally separable metric spaces.