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Turkish Journal of Mathematics

Abstract

In this paper, we point out an error in proving famous Achari type nonunique fixed point results. Also, we prove some best proximity point results in $b$ -metric spaces by introducing new concepts. Hence, we develop some results existing in the literature. Finally, we give a result for the existence of the solution of nonlinear fractional differential equations.

DOI

10.55730/1300-0098.3311

Keywords

Nonlinear fractional differential equation, comparison function, best proximity point, $b$-metric space

First Page

2942

Last Page

2958

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