Publication Cover
Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 10
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Original Articles

Fixed point theory in Fréchet spaces for Volterra type operators

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Pages 1237-1248 | Received 23 Jul 2007, Accepted 24 Jul 2007, Published online: 21 Sep 2010

References

  • Agarwal , RP , Dshalalow , JH and O'Regan , D . 2005 . Fixed point theory for Mönch type maps defined on closed subsets of Frëchet spaces: the projective limit approach . International Journal of Mathematics and Mathematical Sciences , 17 : 2775 – 2782 .
  • Agarwal , RP , Frigon , M and O'Regan , D . 2003 . “ A survey of recent fixed point theory in Fréchet spaces ” . In Nonlinear Analysis and Applications: To V. Lakshmikantham on His 80th Birthday , Vol. 1 , 75 – 88 . Dordrecht : Kluwer Acad. Publ .
  • Agarwal , RP , Meehan , M and O'Regan , D . 2001 . Fixed Point Theory and Applications , Cambridge : Cambridge University Press .
  • Kantorovich , LV and Akilov , GP . 1964 . Functional Analysis in Normed Spaces , Oxford : Pergamon Press .
  • Lakshmikantham , V and Leela , S . 1969 . Differential and Integral Inequalities , Vol. I , New York : Academic Press .
  • O'Regan , D . 1996 . Integral inclusions of upper semicontinuous or lower semicontinuous type . Proceedings of American Mathematical Society , 124 : 2391 – 2399 .
  • O'Regan , D . 2006 . An essential map approach for multimaps defined on closed subsets of Fréchet spaces . Applicable Analysis , 85 : 503 – 513 .
  • Petryshyn , WV . 1988 . Existence of fixed points of positive k-set contractive maps as consequences of suitable boundary conditions . Journal of London Mathematics Society , 38 : 503 – 512 .

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