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Applicable Analysis
An International Journal
Volume 82, 2003 - Issue 4
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Original Articles

Fixed Point and Homotopy Results For Generalized Contractive Maps of Reich Type

R.P. Agarwal Department of Mathematical Science, Florida Institute of Technology, Melbourne, Florida, 32901, USA
,
Jewgeni Dshalalow Department of Mathematical Science, Florida Institute of Technology, Melbourne, Florida, 32901, USA
&
Donal O'Regan Department of Mathematics, National University of Ireland, Galway, Ireland
Pages 329-350 | Published online: 09 Sep 2010

  • Agarwal , R.P. , Cho , Y.J. and O'Regan , D. Fixed point and homotopy invariant results for multivalued maps on complete gauge spaces . Bull. Austral. Math. Soc. , to appear
  • Agarwal , R.P. and O'Regan , D. 2000 . Fixed point theory for generalized contractions on spaces with two metrics . Jour. Math. Anal. Appl. , 248 : 402 – 414 .
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  • Frigon , M. 1996 . “ On continuation methods for contractive and nonexpansive mappings ” . In Recent advances in metric fixed point theory. Sevilla 1995 , Edited by: Benavides , T. Dominguez . 19 – 30 . Sevilla : Universidad de Sevilla .
  • Frigon , M. and O'Regan , D. 2002 . Fuzzy contractive maps and fuzzy fixed points, Fuzzy sets and Systems , 129 : 39 – 45 .
  • Reich , S. 1972 . Fixed points of contractive functions . Boll. Un. Mat. Ital. , 5 : 26 – 42 .
  • Sims , B. , Xu , H.K. and Yuan , G.X.Z. 2001 . “ The homotopic invariance for fixed points of set-valued nonexpansive mappings ” . In Fixed Point Theory and Applications , Edited by: Cho , YJ. , Kim , J.K. and Kang , S.M. Vol. 2 , 93 – 104 . Huntington : Nova Science Publishers .
  • Wegizyk , R. 1982 . Fixed point theorems for multivalued functions and their applications to functional equations , Diss. Math. 201 Warszawa : PWN .

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