James type constants and fixed points for multivalued nonexpansive mappings

James type constants and fixed points for multivalued nonexpansive mappings

In this paper, we give some sufficient conditions for the Domínguez–Lorenzo condition in terms of the James type constant J X , t ( τ ) , the coefficient of weak orthogonality μ ( X ) and the Domínguez Benavides coefficient R (1,  X ), which imply the existence of fixed points for multivalued nonexp...

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Veröffentlicht in:Periodica mathematica Hungarica 2021-12, Vol.83 (2), p.111-121
1. Verfasser: Zuo, Zhan-fei
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Orthogonality
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Zusammenfassung:In this paper, we give some sufficient conditions for the Domínguez–Lorenzo condition in terms of the James type constant J X , t ( τ ) , the coefficient of weak orthogonality μ ( X ) and the Domínguez Benavides coefficient R (1,  X ), which imply the existence of fixed points for multivalued nonexpansive mappings. Our results extend some well known results in the recent literature.
ISSN:0031-5303
1588-2829
DOI:10.1007/s10998-020-00371-w