Publication Cover
Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 5
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Original Articles

An essential map approach for multimaps defined on closed subsets of Fréchet spaces

Pages 503-513 | Received 08 Aug 2005, Published online: 04 Sep 2006

References

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  • Agarwal , RP , Meehan , M and O'Regan , D . 2001 . Fixed Point Theory and Applications , Cambridge : Cambridge University Press .
  • Agarwal , RP and O'Regan , D . 2000 . Multivalued essential maps of approximable and acyclic type . Applied Mathematics Letters , 13 : 7 – 21 .
  • Agarwal , RP and O'Regan , D . 2002 . Homotopy and Leray–Schauder principles for multimaps . Nonlinear Analysis Forum , 7 : 103 – 111 .
  • Agarwal , RP and O'Regan , D . 2003 . Fixed point theory for admissible multimaps defined on closed subsets of Fréchet spaces . Journal of Mathematical Analysis and Applications , 277 : 438 – 445 .
  • Agarwal , RP and O'Regan , D . 2005 . A note on the topological transversality theorem for acyclic maps . Applied Mathematics Letters , 18 : 17 – 22 .
  • Frigon , M . 2002 . Fixed point results for compact maps on closed subsets of Fréchet spaces and applications to differential and integral equations . Bulletin of Society of Mathematicians Belgique , 9 : 23 – 37 .
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  • Lakshmikantham , V and Leela , S . 1969 . Differential and Integral Inequalities , Vol. 1 , New York : Academic Press .
  • O'Regan , D and Meehan , M . 1998 . Existence Theory for Nonlinear Integral and Integrodifferential Equations , Dordrecht : Kluwer Acad. Publishers .
  • O'Regan , D . 1998 . Continuation methods based on essential and 0-epi maps . Acta Applicandae Mathematicae , 54 : 319 – 330 .
  • O'Regan , D . Maximal solutions and multivalued differential and integral inclusions on a noncompact interval . Nonlinear Functional Analysis and Applications , (To appear)

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