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James type constants and fixed points for multivalued nonexpansive mappings

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Abstract

In this paper, we give some sufficient conditions for the Domínguez–Lorenzo condition in terms of the James type constant \(J_{X,t}(\tau )\), the coefficient of weak orthogonality \(\mu (X)\) 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.

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Acknowledgements

This research was partly supported by the Natural Science Foundation Project of CQCSTC (Grant No.cstc2019jcyj-msxmX0289), the Key Laboratory for Nonlinear Science and System Structure, Chongqing Three Georges University.

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  1. Department of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou, 404100, People’s Republic of China

    Zhan-fei Zuo

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Zuo, Zf. James type constants and fixed points for multivalued nonexpansive mappings. Period Math Hung 83, 111–121 (2021). https://doi.org/10.1007/s10998-020-00371-w

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