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Generalized Nadler type results in ultrametric spaces with applications to well-posedness

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Abstract

The aim of this paper to establish the existence and uniqueness of coincidence and common fixed points of Nadler type set-valued mappings under various generalized contractive conditions in the context of ultrametric spaces. Illustrative examples are provided to support our results. As an application, we have obtained well-posedness of the common fixed point problems. The presented results generalize several existing results in the literature in ultrametric space setting.

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Acknowledgements

The second author D. Ramesh Kumar would like to thank the University Grant Commission, New Delhi, India for providing the financial support in the form of UGC Non-Net fellowship.

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  1. Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chepauk, Chennai, Tamil Nadu, 600 005, India

    M. Pitchaimani & D. Ramesh Kumar

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  1. M. Pitchaimani
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  2. D. Ramesh Kumar
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Correspondence to D. Ramesh Kumar.

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Pitchaimani, M., Kumar, D.R. Generalized Nadler type results in ultrametric spaces with applications to well-posedness. Afr. Mat. 28, 957–970 (2017). https://doi.org/10.1007/s13370-017-0496-6

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