Extension in generalized Orlicz–Sobolev spaces

On Generalized Injective Spaces in Generalized Topologies

In this paper, we first present a new type of the concept of open sets by expressing some properties of arbitrary mappings on a power set. With the generalization of the closure spaces in categorical topology, we introduce the generalized topological spaces and the concept of generalized continuity and become familiar with weak and strong structures for generalized topological spaces. Then, int...

Generalized Lefschetz fixed point theorems in extension type spaces

Several Lefschetz fixed point theorems for compact type self maps in new classes of spaces are presented in this paper.

On the generalized Roper-Suffridge extension operator in Banach spaces

The generalized Roper-Suffridge extension operator in Banach spaces is introduced. We prove that this operator preserves the starlikeness on some domains in Banach spaces and does not preserve convexity in some cases. Furthermore, the growth theorem and covering theorem of the corresponding mappings are given. Some results of Roper and Suffridge and Graham et al. in Cn are extended to Banach sp...

Generalized Frames in Hilbert Spaces

Multipliers of generalized frames in Hilbert spaces