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Set-valued Meir–Keeler, Geraghty and Edelstein type fixed point results in b-metric spaces

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Abstract

In the current paper, some new set-valued Meir–Keeler, Geraghty and Edelstein type fixed point theorems are presented in a b-metric space. Some new contractive conditions are introduced and the results are proved using different techniques than their single-valued analogues. Applicability of these newly established theorems is demonstrated with some examples.

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Acknowledgements

The author expresses his gratitude to the learned referees for their excellent remarks which have improved the manuscript.

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  1. Department of Applied Science and Humanities, Assam University, Silchar Cachar, 788011, Assam, India

    Pradip Debnath

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  1. Pradip Debnath
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The author contributed solely in writing this article. The author read and approved the final manuscript.

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Correspondence to Pradip Debnath.

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The author declares that he does not have any competing interests.

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This research is supported by UGC (Ministry of HRD, Govt. of India) through UGC-BSR Start-Up Grant vide letter No. F.30-452/2018(BSR) dated 12 Feb 2019.

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Debnath, P. Set-valued Meir–Keeler, Geraghty and Edelstein type fixed point results in b-metric spaces. Rend. Circ. Mat. Palermo, II. Ser 70, 1389–1398 (2021). https://doi.org/10.1007/s12215-020-00561-y

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