scholarly journals Fixed points for discontinuous quasi-monotone maps in ${\bf R}\sp n$

1988 ◽  
Vol 104 (4) ◽  
pp. 1111-1111
Author(s):  
Shou Chuan Hu
Keyword(s):  
Author(s):  
E. COLEBUNDERS ◽  
S. DE WACHTER ◽  
R. LOWEN

In this paper we study approach structures on dcpo's. A dcpo (X, ≤) will be endowed with several other structures: the Scott topology; an approach structure generated by a collection of weightable quasi metrics onX; and a collectionof weights corresponding to the quasi metrics. Understanding the interaction between these structures onXwill eventually lead to some fixed-point theorems for the morphisms in the category of approach spaces, which are called contractions. Existing fixed-point theorems on both monotone and non-monotone maps are obtained as special cases.


1995 ◽  
Vol 123 (1) ◽  
pp. 171-179 ◽  
Author(s):  
M.W. Hirsch
Keyword(s):  

2018 ◽  
Vol 2018 (-) ◽  
Author(s):  
Prondanai Kaskasem ◽  
Chakkrid Klin-eam ◽  
Suthep Suantai

Author(s):  
C. Ganesa Moorthy ◽  
S. Iruthaya Raj
Keyword(s):  

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