Abstract
The notion of almost partial Hausdorff metric is introduced and a generalization of well-known Nadler’s fixed point theorem for multi-valued mappings on weak partial metric spaces using almost partial Hausdorff metric is obtained. A homotopy result is derived as an application.
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Acknowledgements
The authors would like to thank the editor and the learned referees, for their insightful comments and constructive criticism which have led to a significant improvement.
Funding
The research of Hemant Kumar Pathak was supported by University Grants Commission, New Delhi, F. No.-43-422/2014 (SR) (MRP-MAJOR-MATH-2013- 18394).
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Beg, I., Pathak, H.K. A Variant of Nadler’s Theorem on Weak Partial Metric Spaces with Application to a Homotopy Result. Vietnam J. Math. 46, 693–706 (2018). https://doi.org/10.1007/s10013-018-0276-0
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DOI: https://doi.org/10.1007/s10013-018-0276-0