FIXED POINT THEOREMS FOR GENERAL CLASSES OF MAPS ACTING ON TOPOLOGICAL VECTOR SPACES-Reference-Cited by-同舟云学术

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

Published:2011-09 Issue:03 Volume:04 Page:373-387
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Agarwal Ravi P.¹²,O'Regan Donal³,Taoudi Mohamed-Aziz⁴

Affiliation:

1. Department of Mathematical Sciences, Florida Institute of Technology, 150 West University Boulevard, Melbourne Florida 32901, USA

2. KFUPM Chair Professor, Mathematics and Statistics Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

3. Department of Mathematics, National University of Ireland, Galway, Ireland

4. Université Cadi-Ayyad, Laboratoire de Mathématiques, et de Dynamique de Populations, Marrakech, Maroc

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557111000307

Reference23 articles.

1. FIXED POINT THEORY FOR MULTIMAPS IN EXTENSION TYPE SPACES

2. On measures of weak noncompactness

3. Approachability and fixed points for non-convex set-valued maps

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