Nadler and Kannan Type Set Valued Mappings in M-Metric Spaces and an Application
Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur 440010, India
Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia
China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Department of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat 395007, Gujarat, India
Department of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia
Author to whom correspondence should be addressed.
Received: 27 February 2019 / Revised: 16 April 2019 / Accepted: 18 April 2019 / Published: 24 April 2019
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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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Patle, P.R.; Kumar Patel, D.; Aydi, H.; Gopal, D.; Mlaiki, N. Nadler and Kannan Type Set Valued Mappings in M-Metric Spaces and an Application. Mathematics 2019, 7, 373.
Patle PR, Kumar Patel D, Aydi H, Gopal D, Mlaiki N. Nadler and Kannan Type Set Valued Mappings in M-Metric Spaces and an Application. Mathematics. 2019; 7(4):373.
Patle, Pradip R.; Kumar Patel, Deepesh; Aydi, Hassen; Gopal, Dhananjay; Mlaiki, Nabil. 2019. "Nadler and Kannan Type Set Valued Mappings in M-Metric Spaces and an Application." Mathematics 7, no. 4: 373.
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