Solutions of boundary value problems on extended-Branciari b-distance

Springer Science and Business Media LLC - Tập 2020 - Trang 1-16 - 2020
Thabet Abdeljawad1,2,3, Erdal Karapınar2,4, Sumati Kumari Panda5, Nabil Mlaiki1
1Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia
2Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan
3Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan
4Department of Mathematics, Çankaya University, Ankara, Turkey
5Department of Mathematics, GMR Institute of Technology, Rajam, India

Tóm tắt

In this paper, we consider a new distance structure, extended Branciari b-distance, to combine and unify several distance notions and obtain fixed point results that cover several existing ones in the corresponding literature. As an application of our obtained result, we present a solution for a fourth-order differential equation boundary value problem.

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