proper mappings 
Petryshyn[2] studied a class of Aproper mappings, namely, P1compact mappings and obtained a number of important fixed point theorems by virtue of the topological degree theory.


On the other hand, this class of Aproper mappings with the boundedness property includes completely continuous operators and so, certain interesting new fixed point theorems for completely continuous operators are obtained immediately.


In this paper, we define a generalized relative degree for Aproper mappings from a relative open subset of a Banach space into another Banach space and introduce the concepts of generalized Pcompact and P1compact mappings.


Some examples concerning the distinctive features of bounded linear Aproper mappings and Fredholm mappings


Invariance of holomorphic convexity under proper mappings


We introduce a class of (tuples of commuting) unbounded operators on a Banach space, admitting smooth functional calculi, which contains all operators of HelfferSj?strand type and is closed under the action of smooth proper mappings.


The aim of the paper is to study the behavior of (complete) pluripolar sets under special holomorphic mappings (proper mappings and coverings).


Conformai transformations of general, vacuum spacetimes are considered for conformai factors which are proper mappings into (0, ∞).


Our proof relies on an upper semicontinuity theorem for proper mappings of complex algebraic varieties.


First we show that the uniformly tight strong Skorokhod property for Radon measures is preserved by bijective continuous proper mappings.

