Fixed Points of Integral Type Contractions in Uniform Spaces with a Graph

In this paper, we discuss the existence of fixed points for integral type contractions in uniform spaces endowed with both a graph and an $E$-distance. We also give two sufficient conditions under which the fixed point is unique. Our main results generalize some recent metric fixed point theorems.Comment: 10 page

Fixed Points for Banach and Kannan Contractions in Modular Spaces with a Graph

In this paper, we discuss the existence and uniqueness of fixed points for Banach and Kannan $\widetilde G$-$\rho$-contractions defined on modular spaces endowed with a graph without using the $\Delta_2$-condition or the Fatou property.Comment: 12 page

Fixed points for Kannan type contractions in uniform spaces endowed with a graph

In this paper, we give two sufficient conditions for the existence of a fixed point for a Kannan type contraction in a p-complete separated uniform space endowed with a graph and equipped with an A- or an E-distance p. We also discuss the uniqueness of the fixed point and show that Banach and Kannan type contractions are independent

Fixed Points for Ciric-G-Contractions in Uniform Spaces Endowed with a Graph

In this paper, we generalize the notion of $\lambda$-generalized contractions introduced by \'Ciri\'c from metric to uniform spaces endowed with a graph and discuss on the existence and uniqueness of fixed points for this type of contractions using the basic entourages.Comment: 12 page

A NONLINEAR F-CONTRACTION FORM OF SADOVSKII'S FIXED POINT THEOREM AND ITS APPLICATION TO A FUNCTIONAL INTEGRAL EQUATION OF VOLTERRA TYPE

In this paper, we give a nonlinear F-contraction form of the Sadovskii fixedpoint theorem and we also investigate the existence of solutions for a functional integral equation of Volterra type

Compact Operators Defined on 2

The compact operators defined on 2-normed spaces are investigated, and then the main ideas are generalized to operators defined on 2-probabilistic normed spaces

On stationary points of nonexpansive set-valued mappings

In this paper we deal with stationary points (also known as endpoints) of nonexpansive set-valued mappings and show that the existence of such points under certain conditions follows as a consequence of the existence of approximate stationary sequences. In particular we provide abstract extensions of well-known fixed point theorems.Dirección General de Enseñanza SuperiorJunta de Andalucí