Nadler and Kannan Type Set Valued Mappings in <i>M</i>-Metric Spaces and an Application
- Pradip R. Patle
- Deepesh Kumar Patel
- Hassen Aydi
- Dhananjay Gopal
- Nabil Mlaiki
DOIAbstract
This article intends to initiate the study of Pompeiu–Hausdorff distance induced by an M-metric. The Nadler and Kannan type fixed point theorems for set-valued mappings are also established in the said spaces. Moreover, the discussion is supported with the aid of competent examples and a result on homotopy. This approach improves the current state of art in fixed point theory
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