대한수학회지 (Journal of the Korean Mathematical Society)

  • 제39권4호
  • /
  • Pages.579-591
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  • 2002
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  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
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FIXED POINT THEORY FOR MULTIMAPS IN EXTENSION TYPE SPACES

  • P. Agarwal, Ravi (Department of Mathematical Sciences Florida Institute of Technology) ;
  • O'ReganDonal (Department of Mathematics National University of Ireland) ;
  • ParkSehie (National Academy of Sciences, Republic of Korea and School of Mathematical Sciences Seoul National University)
  • 발행 : 2002.07.01
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초록

New fixed Point results for the (equation omitted) selfmaps ale given. The analysis relies on a factorization idea. The notion of an essential map is also introduced for a wide class of maps. Finally, from a new fixed point theorem of ours, we deduce some equilibrium theorems.

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참고문헌

  1. Bull. Austral. Math. Soc. v.41 The concidence problem for compositions of set valued maps H. Ben-EL-Mechaiekh https://doi.org/10.1017/S000497270001830X
  2. J. Comput. Appl. Math. v.113 Spaces and maps approximation and fixed points H. Ben-El-Mechaiekh https://doi.org/10.1016/S0377-0427(99)00262-9
  3. C. R. Acad. Sci. Paris v.312 General fixed point theorems for narnconvex set valued maps H. Ben-El-Mechaiekh;P. Deguire
  4. Comm. Appl. Nonlinear Anal. v.4 A unified approach to generalized quasi-variational inequalities M.-P. Chen;S. Park
  5. Monografie Mathematyczne v.61 Fixed Point Theory J. Dugundji;A. Granas
  6. Dessertationes Math. v.122 Homological methods in fixed point theory of multivalued maps L. Gorniewicz
  7. Topological fixed point theory of multivalued mappings L. Gorniewicz
  8. Points fixes pour les applications compactes: espaces de Lefschetz et la theorie de l'indice A. Granas
  9. J. Math. Anal. Appl. v.38 Fixed points for compact multifunctions C. J. Himmelberg https://doi.org/10.1016/0022-247X(72)90128-X
  10. Differential Inclusion and Optimal Control, Lecture Notes in Nonlinear Anal. v.2 Leray-Schauder type theorems and equilibrium existence theorems A. Idzik;S. Park
  11. J. Math. Anal. Appl. v.224 On some generalized quasi-equlibrium problems L.-J. Lin;S. Park https://doi.org/10.1006/jmaa.1998.5964
  12. J. Korean Math. Soc. v.35 A unified fixed point theory of multimaps on topological vector spaces Sehie Park
  13. Corrections, ibid v.36 https://doi.org/10.1155/S0161171200002593
  14. Int. J. Math. Math. Sci. v.24 Fixed points, intersection theorems, variational inequalities, and equilibrium theorems Sehie Park https://doi.org/10.1016/S0895-7177(01)00111-X
  15. Math. Comput. Modelling v.34 Fixed points and quasi-eqilibrium problems Sehie Park https://doi.org/10.1016/S0895-7177(01)00111-X
  16. Far East J. Math. Sci. v.3 Generalized quasi-variational inequalities S. Park;M.-P. Chen
  17. Colloq. Math. v.71 The Idzik type quasivariational inequalities and noncompact optimization problems S. Park;J. A. Parkk

피인용 문헌

  1. Fixed point theory for permissible extension type maps vol.58, pp.3, 2009, https://doi.org/10.1007/s12215-009-0037-8
  2. Deterministic and random fixed points for maps on extension type spaces 2017, https://doi.org/10.1080/00036811.2017.1344228
  3. Essential extension type maps for general classes of maps vol.216, pp.11, 2010, https://doi.org/10.1016/j.amc.2010.04.075
  4. Equilibria and fixed points of set-valued maps with nonconvex and noncompact domains and ranges vol.65, pp.4, 2006, https://doi.org/10.1016/j.na.2005.10.006
  5. Asymptotic Lefschetz fixed point theory for ANES(compact) maps vol.58, pp.1, 2009, https://doi.org/10.1007/s12215-009-0009-z
  6. The fixed point index for compact absorbing contractive admissible maps vol.215, pp.5, 2009, https://doi.org/10.1016/j.amc.2009.08.030
  7. Initial and boundary value problems for fuzzy differential equations vol.54, pp.3, 2003, https://doi.org/10.1016/S0362-546X(03)00097-X
  8. Recent results on the topological fixed point theory of multivalued mappings: a survey vol.2015, pp.1, 2015, https://doi.org/10.1186/s13663-015-0432-0
  9. Essential maps and coincidence theory vol.96, pp.13, 2017, https://doi.org/10.1080/00036811.2016.1220547
  10. Fixed point theory for extension type maps in topological spaces vol.88, pp.2, 2009, https://doi.org/10.1080/00036810802713941
  11. Fixed point theory for composite maps on almost dominating extension spaces vol.115, pp.3, 2005, https://doi.org/10.1007/BF02829663
  12. FIXED POINT THEOREMS FOR GENERAL CLASSES OF MAPS ACTING ON TOPOLOGICAL VECTOR SPACES vol.04, pp.03, 2011, https://doi.org/10.1142/S1793557111000307