In this paper, we proved a Ciric type periodic point result with a Q-function on quasi metric spaces. We also give an illustrative example to show the effectiveness of our main result.

Taking into account nonunique fixed point and periodic point results of Ciric (Institut Mathematique 17, 52-58, 1974) and best proximity point results in the literature, we introduce the concept of proximal nonunique ...

In 1976, Caristi fixed point theorem was proved for ordinary metric spaces. After that, it was shown that this result is equivalent to Ekeland variational principle which has a great number of applications in many branches ...

In this paper, we introduce the concept of cyclic p-contraction pair for single-valued mappings. Then we present some best proximity point results for such mappings defined on proximally complete pair of subsets of a metric ...

In this paper, we first give a new definition of Omega-Dedekind complete Riesz space (E, <=) in the frame of vector metric space (Omega, rho, E) and we investigate the relation between Dedekind complete Riesz space and our ...

In this paper, we present a new approach to fractals through best proximity points, inspired by the remarkable relationship between fixed point theory and fractal theory. In this way, we introduce the concept of proximal ...

In this paper, we present two main results about best proximity points for multivalued mappings. First, taking into account Klim and Wardowski's approach in fixed-point theory, we obtain a new result for multivalued mappings ...