New fixed point results are presented for admissible pairs and maps (admissible in the sense of Gorniewicz) defined on subsets of a Frechet space E. The proof relies on the notion of a pseudo open set, degree theory, and on viewing E as the projective limit of a sequence of Banach spaces.
Department of Mathematics, Northwest Normal University Lanzhou 730070, China
Department of Mathematics, National University of Ireland Galway, Ireland
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
fixed point; admissible pair; degree theory
R. Ma, D. O’Regan, R. Precup, Fixed point theory for admissible pairs and maps in Frechet spaces via degree theory, Fixed Point Theory 8 (2007) no. 2, 273-283.
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Fixed Point Theory
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