2019•MathematicsOpen access

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

Quanita Kiran, Nayab Alamgir, Nabil Mlaiki, Hassen Aydi

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.

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Key concepts: Metric space, Mathematics, Fixed point, Metric (unit), Fixed-point theorem, Point (geometry), Discrete mathematics, Pure mathematics