Fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex spaces and its applications

1987 ◽  
Vol 8 (3) ◽  
pp. 211-218 ◽  
Author(s):  
Ding Xie-ping
Keyword(s):  
Fixed Point ◽  
Fixed Point Index ◽  
Compact Set ◽  
Locally Convex Spaces ◽  
Point Index ◽  
Set Valued Mappings ◽  
Locally Convex ◽  
Convex Spaces

scholarly journals An extension of a theorem of Sahab, Khan, and Sessa

2001 ◽  
Vol 27 (11) ◽  
pp. 701-706 ◽  
Author(s):  
A. R. Khan ◽  
N. Hussain
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Locally Convex Spaces ◽  
Invariant Approximation ◽  
Recent Theorem ◽  
Locally Convex ◽  
Convex Spaces

A fixed point theorem of Fisher and Sessa is generalized to locally convex spaces and the new result is applied to extend a recent theorem on invariant approximation of Sahab, Khan, and Sessa.

scholarly journals A fixed point theorem in locally convex spaces

2010 ◽  
Vol 61 (2) ◽  
pp. 223-239 ◽  
Author(s):  
Vladimir Kozlov ◽  
Johan Thim ◽  
Bengt Ove Turesson
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Locally Convex Spaces ◽  
Locally Convex ◽  
Convex Spaces

On the fixed point index in locally convex spaces

1987 ◽  
Vol 106 (1-2) ◽  
pp. 161-168 ◽  
Author(s):  
M. Furi ◽  
M. P. Pera
Keyword(s):  
Fixed Point Index ◽  
Eigenvalue Problems ◽  
Index Theory ◽  
Locally Convex Space ◽  
Locally Convex Spaces ◽  
Point Index ◽  
Locally Compact ◽  
Nonlinear Eigenvalue Problems ◽  
Continuation Principle ◽  
Locally Convex

SynopsisLet E be a Hausdorff locally convex space, Q a convex closed subset of E and U an open subset of Q. We develop an index theory for a class of locally compact maps f: U → E for which the usual assumption f(U) ⊂ Q is replaced by an appropriate “pushing condition”. Moreover, from this index theory, we deduce a general continuation principle and some global results for nonlinear eigenvalue problems.

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