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Fixed points, eigenvalues and surjectivity

김인숙
대한수학회 (The Korean Mathematical Society)|2008.01|대한수학회지 (Journal of the KMS)|제45권 제1호|pp. 151-161

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참고문헌

키워드

eigenvaluesfixed pointssurjectivitycountably condensing maps.
주제분류수학

초록

We prove that a countably condensing operator defined on a closed wedge in a Banach space has a fixed point if it is strictly quasibounded, by using an index theory for such operators. From this, the existence of eigenvalues and surjectivity are deduced

Abstract

We prove that a countably condensing operator defined on a closed wedge in a Banach space has a fixed point if it is strictly quasibounded, by using an index theory for such operators. From this, the existence of eigenvalues and surjectivity are deduced

참고문헌 (13)

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  9. W. V. Petryshyn, "Remarks on condensing and k-set-contractive mappings", Journal of Mathematical Analysis and Applications, 39, pp.717~741 (1972)
  10. W. V. Petryshyn, "A degree theory, fixed point theorems, and mapping theorems for multivalued noncompact mappings", Transactions of the American Mathematical Society, 194, pp.1~25 (1974)
  11. M. Vath, "Fixed point theorems and fixed point index for countably condensing maps", Topological Methods in Nonlinear Analysis, (2), pp.341~363 (1999)
  12. A. Vignoli, "On quasibounded mappings and nonlinear functional equations", Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche Matematiche e Naturali, 50(8), pp.114~117 (1971)
  13. E. Zeidler, "Nonlinear Functional Analysis and its Applications. I." (1986), Springer-Verlag

관련 논문AI추천

Eigenvalues of countably condensing maps김연호, 김인숙, Sunghui Kwon대한수학회 · 대한수학회지2009 · 제46권 제2호Fixed points of weakly inward 1-set-contraction mappingsGuozhen Li, Huagui Duan, Shaoyuan Xu대한수학회 · 대한수학회지2008 · 제45권 제6호Fixed points of countably condensing mappings and its application to nonlinear eigenvalue problems김인숙대한수학회 · 대한수학회지2006 · 제43권 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 points of sequentially condensing operatorsIn-Sook Kim대한수학회 · 대한수학회보2003 · 제40권 제3호

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