Tran Van An

An Extension of Generalized (,)-Weak Contractions

We prove a fixed-point theorem for a class of maps that satisfy generalized (𝜓,𝜑)-weak contractions depending on a given function. An example is given to illustrate our extensions.

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

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

Some coincidence point results for T-contraction mappings on partially ordered b-metric spaces and applications to integral equations

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

Various generalizations of metric spaces and fixed point theorems

), 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.

Stone-type theorem on b-metric spaces and applications

We characterize -images of locally separable metric spaces by means of covers having -property. As its application, we obtain characterizations of compact-covering (sequence-covering, pseudo-sequence-covering, and sequentially quotient) -images of locally sparable metric spaces.

A new approach to fixed point theorems on G-metric spaces☆

Abstract. In this paper, we prove some fixed point results for T -contraction mappings in partially ordered b-metric spaces that generalize the main results of [H. Huang, S. Radenović, J. Vujaković, On some recent coincidence and immediate consequences in partially ordered b-metric spaces, Fixed Point Theory Appl., 2015, Paper No. 63]. As an application, we discuss the existence for a solution of a nonlinear integral equation.

Answers to Kirk-Shahzad's Questions on Strong

In this paper, we give some characterizations of spaces with locally countable weak bases and prove that spaces with locally countable weak bases are preserved by some maps.