[EN] Hu proved in [4] that a metric space (X, d) is complete if and only if for
any closed subspace C of (X, d), every Banach contraction on C has
fixed point. Since then several authors have investigated the problem
of ...

Choban, Mitrofan M; Berinde, Vasile(Universitat Politècnica de València, 2017-10-02)

[EN] We introduce and study a general concept of multiple fixed point for mappings defined on partially ordered distance spaces in the presence of a contraction type condition and appropriate monotonicity properties. This ...

[EN] We show that the poset of formal balls of the Sorgenfrey quasi-metric space is an omega-continuous domain, and deduce that it is also a computational model, in the sense of R.C. Flagg and R. Kopperman, for the Sorgenfrey ...

[EN] We show that some important fixed point theorems on complete metric spaces as Browder’s fixed point
theorem and Matkowski’s fixed point theorem can be easily generalized to the framework of bicomplete
quasi-metric ...

[EN] We show that a quasi-metric space is right K-sequentially complete if and only if it satisfies the property of the weak form of Eke land's Variational Principle. This result solves a question raised by S. Cobzas (2011) ...

[EN] We obtain versions of the Boyd and Wong fixed point theorem and of the
Matkowski fixed point theorem for multivalued maps and w-distances on complete
quasi-metric spaces. Our results generalize, in several directions, ...