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The fixed point property for nonexpansive type mappings in nonreflexive Banach spaces

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Abstract

In this paper, we present the fixed point property for nonexpansive type mappings in Banach spaces endowed with near-infinity concentrated norms. We also obtain a stability result. Finally, we present a nontrivial example to show the usefulness of these results.

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Acknowledgements

The author would like to thank Professor Rajendra Pant, University of Johannesburg for his useful suggestions relating to this manuscript. We are very much thankful to the reviewer for his/her constructive comments and suggestions which have been useful for the improvement of this paper. The author acknowledges the support from GES fellowship 4.0, University of Johannesburg, South Africa.

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  1. Department of Mathematics and Applied Mathematics, Kingsway Campus, University of Johannesburg, Auckland Park 2006, Johannesburg, South Africa

    Rahul Shukla

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  1. Rahul Shukla
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Shukla, R. The fixed point property for nonexpansive type mappings in nonreflexive Banach spaces. Rend. Circ. Mat. Palermo, II. Ser 70, 1413–1424 (2021). https://doi.org/10.1007/s12215-020-00566-7

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  • DOI: https://doi.org/10.1007/s12215-020-00566-7

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