The fixed point index and fixed point theorems

1993 ◽  
pp. 143-205 ◽  
Author(s):  
Roger D. Nussbaum
Keyword(s):  
Fixed Point ◽  
Fixed Point Index ◽  
Fixed Point Theorems ◽  
Point Index

scholarly journals A-properness and fixed point theorems for dissipative type maps

1999 ◽  
Vol 4 (2) ◽  
pp. 83-100 ◽  
Author(s):  
K. Q. Lan ◽  
J. R. L. Webb
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Fixed Point Index ◽  
Fixed Point Theorems ◽  
Duality Mapping ◽  
Uniformly Convex ◽  
Point Index ◽  
Weakly Inward ◽  
Convex Subsets

We obtain newA-properness results for demicontinuous, dissipative type mappings defined only on closed convex subsets of a Banach spaceXwith uniformly convex dual and which satisfy a property called weakly inward. The method relies on a new property of the duality mapping in such spaces. New fixed point results are obtained by utilising a theory of fixed point index.

Fixed Point Theorems and the Fixed Point Index for Multivalued Mappings in Cones

1975 ◽  
Vol s2-12 (1) ◽  
pp. 75-85 ◽  
Author(s):  
P. M. Fitzpatrick ◽  
W. V. Petryshyn
Keyword(s):  
Fixed Point ◽  
Fixed Point Index ◽  
Fixed Point Theorems ◽  
Multivalued Mappings ◽  
Point Index

scholarly journals Fixed point theorems in the study of positive strict set-contractions

2021 ◽  
Vol 40 (6) ◽  
pp. 1569-1586
Author(s):  
Salima Mechrouk
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Fixed Point Index ◽  
Fixed Point Theorems ◽  
Index Properties ◽  
Point Index

The author uses fixed point index properties and Inspired by the work in Benmezai and Boucheneb (see Theorem 3.8 in [3]) to prove new fixed point theorems for strict set-contraction defined on a Banach space and leaving invariant a cone.

scholarly journals Fixed point index for composite type maps

2009 ◽  
Vol 3 (2) ◽  
pp. 224-235
Author(s):  
Donal O'Regan
Keyword(s):  
Fixed Point ◽  
Fixed Point Index ◽  
Fixed Point Theorems ◽  
Index Theory ◽  
Point Index ◽  
Composite Type

An index theory is presented for compact absorbing contractive Jc or SJc maps and several new fixed point theorems are given for such maps.

Fixed point index for discontinuous operators and fixed point theorems in cones with applications

2020 ◽  
Vol 22 (4) ◽  
Author(s):  
Rubén Figueroa ◽  
Rodrigo López Pouso ◽  
Jorge Rodríguez–López
Keyword(s):  
Fixed Point ◽  
Fixed Point Index ◽  
Fixed Point Theorems ◽  
Point Index
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