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proper mappings
Petryshyn[2] studied a class of A-proper mappings, namely, P1-compact mappings and obtained a number of important fixed point theorems by virtue of the topological degree theory.
      
On the other hand, this class of A-proper 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 A-proper mappings from a relative open subset of a Banach space into another Banach space and introduce the concepts of generalized P-compact and P1-compact mappings.
      
Some examples concerning the distinctive features of bounded linear A-proper 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 Helffer-Sj?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 space-times 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.
      
 

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