Some remarks on a fixed point theorem of Krasnoselskii

C. Avramescu, University of Craiova, Craiova, Romania

E. J. Qualitative Theory of Diff. Equ., No. 5. (2003), pp. 1-15.

Communicated by T. A. Burton. Appeared on 2003-01-01

Abstract: Using a particular locally convex space and Schaefer's theorem, a generalization of Krasnoselskii's fixed point Theorem is proved. This result is further applied to certain nonlinear integral equation proving the existence of a solution on $\R_{+}=[0,+\infty).$

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