Theorems of Namioka and R. E. Johnson type for upper semicontinuous and compact valued set-valued mappings

Fixed Point Theorems for Set-valued Mappings

Lower Semicontinuous Regularization for Vector-Valued Mappings

The concept of the lower limit for vector-valued mappings is the main focus of this work. We first introduce a new definition of adequate lower and upper level sets for vector-valued mappings and establish some of their topological and geometrical properties. Characterization of semicontinuity for vector-valued mappings is thereafter presented. Then, we define the concept of vector lower limit,...

Existence theorems for single-valued and set-valued mappings with w-distances in metric spaces

Convergence Theorems for Set-valued Denjoy-pettis Integrable Mappings

In this paper, we introduce the Denjoy-Pettis integral of set-valued mappings and investigate some properties of the set-valued Denjoy-Pettis integral. Finally we obtain the Dominated Convergence Theorem and Monotone Convergence Theorem for set-valued DenjoyPettis integrable mappings.

Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings