A Mizoguchi–Takahashi Type Fixed Point Theorem in Complete Extended b -Metric Spaces

Nayab Alamgir, Quanita Kiran, Hassen Aydi and Aiman Mukheimer
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Nayab Alamgir: School of Natural Sciences, National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan
Quanita Kiran: School of Electrical Engineering and Computer Science (SEECS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan
Hassen Aydi: Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia
Aiman Mukheimer: Department of Mathematics and General Sciences, Prince Sultan University Riyadh, Riyadh 11586, Saudi Arabia

Mathematics, 2019, vol. 7, issue 5, 1-15

Abstract: In this paper, we prove a new fixed point theorem for a multi-valued mapping from a complete extended b -metric space U into the non empty closed and bounded subsets of U , which generalizes Nadler’s fixed point theorem. We also establish some fixed point results, which generalize our first result. Furthermore, we establish Mizoguchi–Takahashi’s type fixed point theorem for a multi-valued mapping from a complete extended b -metric space U into the non empty closed and bounded subsets of U that improves many existing results in the literature.

Keywords: complete extended b-metric space; Hausdorff metric; fixed point theorems (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 (3)

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