Lefschetz fixed point theory for admissible maps on Hausdorff topological spaces

Abstract

A variety of deterministic and random Lefschetz fixed point theorems for compact admissible maps on Hausdorff topological spaces are presented in this paper.

Authors and Affiliations

Donal O'Regan

Keywords

Related Articles

Weakly precompact operators on Cb(X,E) with the strict topology

Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb(X,E) be the space of all E-valued bounded continuous functions on X, equipped with the strict topology β. We study weakly precompact operato...

Existence of monotone solutions for functional differential inclusions without convexity

The aim of this paper is to prove, under weaker hypothesis, the existence result of monotone solutions for autonomous and nonautonomous functional differential inclusions.

Pointwise strong approximation of almost periodic functions

We consider the class GM(2β) in pointwise estimate of the deviations in strong mean of almost periodic functions from matrix means of partial sums of their Fourier series.

Existence of solutions for a second order problem on the half-line via Ekeland's variational principle

In this paper we study the existence of nontrivial solutions for a nonlinear boundary value problem posed on the half-line. Our approach is based on Ekeland's variational principle.

Controllability for some integrodifferential evolution equations in Banach spaces

In this work, we study the controllability for a class of nonlinear integrodifferential equations in Banach spaces. Using resolvent operator properties and Schaefer's fixed point Theorem, we give sufficient conditions fo...

Download PDF file
  • EP ID EP482065
  • DOI 10.7151/dmdico.1198
  • Views 63
  • Downloads 0

How To Cite

Donal O'Regan (2017). Lefschetz fixed point theory for admissible maps on Hausdorff topological spaces. Discussiones Mathematicae Differential Inclusions Control and Optimization, 37(2), 127-144. https://europub.co.uk/articles/-A-482065