Nadler and Kannan Type Set Valued Mappings in M -Metric Spaces and an Application

Pradip R. Patle, Deepesh Kumar Patel, Hassen Aydi, Dhananjay Gopal and Nabil Mlaiki
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Pradip R. Patle: Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur 440010, India
Deepesh Kumar Patel: Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur 440010, India
Hassen Aydi: Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia
Dhananjay Gopal: Department of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat 395007, Gujarat, India
Nabil Mlaiki: Department of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia

Mathematics, 2019, vol. 7, issue 4, 1-14

Abstract: 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.

Keywords: homotopy; M-metric; M-Pompeiu–Hausdorff type metric; multivalued mapping; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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