On Some New Fixed Point Results in Complete Extended b -Metric Spaces

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

Mathematics, 2019, vol. 7, issue 5, 1-17

Abstract: In this paper, we specified a method that generalizes a number of fixed point results for single and multi-valued mappings in the structure of extended b -metric spaces. Our results extend several existing ones including the results of Aleksic et al. for single-valued mappings and the results of Nadler and Miculescu et al. for multi-valued mappings. Moreover, an example is given at the end to show the superiority of our results.

Keywords: extended b -metric space; set-valued functions; 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 (1)

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