In this paper, we prove a fixed point theorem for a pair of generalized weakly contractive mappings in complete partial metric spaces. The theorems presented are generalizations of very recent fixed point theorems due to Abdeljawad, Karapinar and Tas. To emphasize the very general nature of these results, we illustrate an example.

In the present paper‎, ‎we introduce the concept of generalized multivalued $F$ -‎contraction mappings and give a fixed point result‎, ‎which is a proper‎ ‎generalization of some multivalued fixed point theorems including Nadler's‎.

We discuss some basic facts regarding Gibbs measures on the infinite lattice Zd. Our discussion is restricted to an explicit case with nearest-neighbor interactions but the reader should note that the general theory allows much more flexibility; see Friedli and Velenik [3, Chapter 6] for additional details. Preliminaries. Let (S,S, λ) be a measure space (λ is a positive measure, either finite o...

This paper generalizes the notion of symmetrical neighbourhoods, which have been used to define connectivity in the case of sets, to the wider framework of complete lattices having a sup-generating family. Two versions (weak and strong) of the notion of a symmetrical dilation are introduced, and they are applied to the generation of “connected components” from the so-called “geodesic dilations”...