Published on Brock University (http://www.brocku.ca)
Topological and Variational methods for the solvability of problems lacking compactness and/or convexity in nonlinear functional analysis. Fixed point theory. Applications to Game Theory, Mathematical Economics, Optimization and Control.
"It is easier to square the circle than to get round a mathematician". - Augustus De Morgan.
"It is true that Mr. Fourier thought that the principal goal of mathematics was their public utility and their use in explaining natural phenomena. A philosopher like him should have known that the only goal of Science is the honor of the human spirit, and that as such, a question in number theory is worth a question concerning the system of the world". - C. G. Jacobi in a letter to A. M. Legendre, 1830, (Collected Works of Jacobi, Vol. 1, p. 454).