On the spaces of mappings on Banach spaces

On fixed points of fundamentally nonexpansive mappings in Banach spaces

We first obtain some properties of a fundamentally nonexpansive self-mapping on a nonempty subset of a Banach space and next show that if the Banach space is having the Opial condition, then the fixed points set of such a mapping with the convex range is nonempty. In particular, we establish that if the Banach space is uniformly convex, and the range of such a mapping is bounded, closed and con...

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

On the Pettis Integral of Fuzzy Mappings in Banach Spaces

In this paper, we introduce the Pettis integral of fuzzy mappings in Banach spaces using the Pettis integral of closed set-valued mappings. We investigate the relations between the Pettis integral, weak integral and integral of fuzzy mappings in Banach spaces and obtain some properties of the Pettis integral of fuzzy mappings in Banach spaces.

On the Weak Relatively Nonexpansive Mappings in Banach Spaces

Linearization of Bounded Holomorphic Mappings on Banach Spaces

The main result in this paper is the following linearization theorem. For each open set U in a complex Banach space E , there is a complex Banach space G°°(Í7) and a bounded holomorphic mapping gv: U —► G°°(U) with the following universal property: For each complex Banach space F and each bounded holomorphic mapping /: U —> F , there is a unique continuous linear operator T,\ G°°(U) —» F such t...