Common fixed point theorems and minimax inequalities in locally convex Hausdorff topological vector spaces

2009 ◽  
Vol 88 (12) ◽  
pp. 1691-1699 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Mircea Balaj ◽  
Donal O'Regan
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Vector Spaces ◽  
Minimax Inequalities ◽  
Topological Vector Spaces ◽  
Locally Convex ◽  
Common Fixed Point Theorems

FIXED POINT THEOREMS FOR GENERAL CLASSES OF MAPS ACTING ON TOPOLOGICAL VECTOR SPACES

2011 ◽  
Vol 04 (03) ◽  
pp. 373-387 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Donal O'Regan ◽  
Mohamed-Aziz Taoudi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Vector Spaces ◽  
Compact Sets ◽  
Multivalued Maps ◽  
Weakly Compact ◽  
Topological Vector Spaces ◽  
Admissible Maps ◽  
Weakly Compact Sets ◽  
Locally Convex

We present new fixed point theorems for multivalued [Formula: see text]-admissible maps acting on locally convex topological vector spaces. The considered multivalued maps need not be compact. We merely assume that they are weakly compact and map weakly compact sets into relatively compact sets. Our fixed point results are obtained under Schauder, Leray–Schauder and Furi-Pera type conditions. These results are useful in applications and extend earlier works.

scholarly journals Common fixed point theorems for uniformly subcompatible mappings satisfying more general condition

2011 ◽  
Vol 42 (1) ◽  
pp. 9-17
Author(s):  
R. Sumitra ◽  
V. Rhymend Uthariaraj ◽  
P. Vijayaraju ◽  
R Hemavathy
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Convex Domain ◽  
General Condition ◽  
Best Approximation ◽  
Fixed Point Theorems ◽  
Type Condition ◽  
Approximation Result ◽  
Locally Convex ◽  
Common Fixed Point Theorems

We prove common fixed point theorems for uniformly subcompatible mappings satisfying a more generalized ciric type condition and a condition more general than gregus type condition in a locally convex domain. As an application, we have also established best  approximation result. Our results extend recent results existing in the literature.

scholarly journals Mönch sets and fixed point theorems for multimaps in locally convex topological vector spaces

2017 ◽  
Vol 18 (1) ◽  
pp. 147-154 ◽  
Author(s):  
Tiziana Cardinali ◽  
◽  
Donal O’Regan ◽  
Paola Rubbioni ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Vector Spaces ◽  
Topological Vector Spaces ◽  
Locally Convex

Some Common Fixed Point Theorem in Complete Metric Space of Integral Type

2018 ◽  
Vol 6 (8) ◽  
pp. 297
Author(s):  
Jagdish C. Chaudhary ◽  
Shailesh T. Patel
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Contractive Condition ◽  
Integral Type ◽  
Complete Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we prove some common fixed point theorems in complete metric spaces for self mapping satisfying a contractive condition of Integral  type.

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