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We call a sequence $(T_n)_n$ of bounded operators on a Banach space X, BSC-Sequence if it is a Cauchy sequence in the strong operator topology and is uniformly bounded below. We determine conditions under which such sequences has a fixed point.
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참고문헌 (26)
참고문헌 신청
A. B. Nasseri / 2013 / J-class operators on certain Banach spaces / TU Dortmund
A. Manoussos / 2014 / Coarse topological transitivity on open cones and coarsely J-class and D-class operators / J. Math. Anal. Appl 413 (2) : 715 ~ 726
Ahmed H Soliman / 2014 / Results on n-tupled fixed points in metric spaces with uniform normal structure / Fixed Point Theory and Applications 2014 (1) : 168 ~
B. E. Rhoades / 1996 / A fixed point theorem for generalized Metric space / Internat. J. Math. Sci 19 (3) : 457 ~ 460
B. Sadovskii / 1967 / On a fixed point principle / Funktsional. Anal. i Prilozen 1 (2) : 74 ~ 76
A. Manoussos / 2014 / Coarse topological transitivity on open cones and coarsely J-class and D-class operators / J. Math. Anal. Appl 413 (2) : 715 ~ 726
Ahmed H Soliman / 2014 / Results on n-tupled fixed points in metric spaces with uniform normal structure / Fixed Point Theory and Applications 2014 (1) : 168 ~
B. E. Rhoades / 1996 / A fixed point theorem for generalized Metric space / Internat. J. Math. Sci 19 (3) : 457 ~ 460
B. Sadovskii / 1967 / On a fixed point principle / Funktsional. Anal. i Prilozen 1 (2) : 74 ~ 76
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