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Fixed point theory for various classes of permissible maps via index theory

Donal O'Regan|Ravi P. Agarwal
대한수학회 (The Korean Mathematical Society)|2009.04|대한수학회논문집 (Communications of the KMS)|제24권 제2호|pp. 247-263

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참고문헌

키워드

projective limitsfixed point theory
주제분류수학

초록

In this paper we use degree and index theory to present new applicable fixed point theory for permissible maps.

Abstract

In this paper we use degree and index theory to present new applicable fixed point theory for permissible maps.

참고문헌 (18)

  1. R. P. Agarwal, "A survey of recent fixed point theory in Fréchet spaces, Nonlinear analysis and applications: to V. Lakshmikantham on his 80th birthday", pp.75~88 (2003), Kluwer Acad. Publ.
  2. R. P. Agarwal, "Countably P-concentrative pairs and the coincidence index", Applied Math. Letters, 12, pp.439~444 (2002)
  3. R. P. Agarwal, "An index theory for countably P-concentrative J maps", Applied Math. Letters, 16, pp.1265~1271 (2003)
  4. R. P. Agarwal, "A topological degree for pairs, Fixed Point Theory and Applications", pp.11~17 (2003), Nova Science Publishers
  5. R. P. Agarwal, "Multivalued nonlinear equations on the half line: a fixed point approach", Korean Jour. Computational and Applied Math., 9, pp.509~524 (2002)
  6. J. Andres, "Boundary value problems on infinite intervals", Trans. Amer. Math. Soc., 351, pp.4861~4903 (1999)
  7. R. Bader, "Fixed point index for compositions of set valued maps with proximally ∞-connected values on arbitrary ANR’'s", Set Valued Analysis, 2, pp.459~480 (1994)
  8. Z. Dzedzej, "Fixed point index for a class of nonacyclic multivalued maps", Diss. Math., 253, pp.1~58 (1985)
  9. P. M. Fitzpatrick, "Fixed point theorems and fixed point index for multivalued mappings in cones", J. London Math. Soc., 12, pp.75~82 (1975)
  10. L. Gorniewicz, "Topological Fixed Point Theory of Multivalued Mappings" (1999), Kluwer Academic Publishers
  11. L. Gorniewicz, "On the homotopy method in the fixed point index theory of multi-valued mappings of compact absolute neighborhood retracts", Jour. Math. Anal. Appl., 161, pp.457~473 (1991)
  12. L. V. Kantorovich, "Functional Analysis in Normed Spaces" (1964), Pergamon Press
  13. Z. Kucharski, "A coincidence index", Bull. Acad. Polon. Sci., 24, pp.245~252 (1976)
  14. R. Ma, "Fixed point theory for admissible pairs and maps in Fréchet spaces via degee theory", Fixed Point Theory, 8, pp.273~283 (2007)
  15. D. O’Regan, "An essential map approach for multimaps defined on closed subsets of Fréchet spaces", Applicable Analysis, 85, pp.503~513 (2006)
  16. D. O’Regan, "Fixed point theory in Fréchet spaces for permissible Urysohn type maps", ~, to appear
  17. D. O’Regan, "Topological Degree Theory and Applications", pp.2006, Chapman and Hall
  18. M. Vath, "Fixed point theorems and fixed point index for countably condensing maps", Topological Methods in Nonlinear Analysis, 13, pp.341~363 (1999)

관련 논문AI추천

FIXED POINT THEORY FOR PERMISSIBLE MAPS VIA INDEX THEORY조열제, Donal O'Regan, Mircea Balaj영남수학회 · East Asian Mathematical Journal2008 · 제24권 제1호Fixed points of weakly inward 1-set-contraction mappingsGuozhen Li, Huagui Duan, Shaoyuan Xu대한수학회 · 대한수학회지2008 · 제45권 제6호Fixed degree theorems for fuzzy mappings in symmetric spaces배승정, 조성훈강원경기수학회 · 한국수학논문집2010 · 제18권 제1호LEFSCHETZ FIXED POINT THEORY FOR COMPACT ABSORBING CONTRACTIVE ADMISSIBLE MAPS조열제, Baoqiang Yan, Donal O'Regan한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제1호Fixed point theorems for condensing mappings satisfying Leray-Schauder type conditionsShaini Pulickakunnel, Sreya Valiya Valappil대한수학회 · 대한수학회논문집2016 · 제31권 제1호Fixed point theory for inward set valued maps in hyperconvex metric spacesA. Amini-Harandi,, A. P. Farajzadeh, D. O’Regan, R. P. Agarwal영남수학회 · East Asian Mathematical Journal2008 · 제24권 제4호

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