Caratheodory-type selections and random fixed point theorems

Caratheodory-Type Selections and Random Fixed Point Theorems

We provide some new Caratheodory-type selection theorems. i.e.. selections for correspondences of two variables which are continuous with respect to one variable and measurable with respect to the other. These results generalize simultaneously Michael’s [2l] continuous selection theorem for lower-semicontinuous correspondences as well as a Caratheodory-type selection theorem of Fryszkowski [IO]...

Edelstein Type Fixed Point Theorems

Recently, Suzuki [Nonlinear Anal. 71 (2009), no. 11, 5313–5317.] published a paper on which Edelstein’s fixed theorem was generalized. In this manuscript, we give some theorems which are the generalization of the fixed theorem of Suzuki’s Theorems and thus Edelstein’s result [J. London Math. Soc. 37 (1962), 74-79].

Some common fixed point theorems for Gregus type mappings

In this paper, sufficient conditions for the existence of common fixed points for a compatible pair of self maps of Gregustype in the framework of convex metric spaces have been obtained. Also, established the existence of common fixed points for a pair of compatible mappings of type (B) and consequently for compatible mappings of type (A). The proved results generalize and extend some of the w...

Common Fixed Point Theorems of Integral Type in Modular Spaces

Random fixed point theorems with an application to a random nonlinear integral equation

In this paper, stochastic generalizations of some fixed point for operators satisfying random contractively generalized hybrid and some other contractive condition have been proved. We discuss also the existence of a solution to a nonlinear random integral equation in Banah spaces.