2020 Common Fixed Point Results for a Pair of Multivalued Mappings in Complex-Valued b-Metric Spaces
Olawale Kazeem Oyewole, Kazeem Olalekan Aremu, Lateef Olakunle Jolaoso
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Abstr. Appl. Anal. 2020: 1-9 (2020). DOI: 10.1155/2020/9738971

Abstract

Several fixed point results for the existence of common fixed points of multivalued contractive mappings have been established in complex-valued metric space. In this paper, we study the existence of common fixed points for a pair of multivalued contractive mappings satisfying some rational inequalities in the framework of complex-valued b-metric spaces. The contractive condition used in this paper generalizes many contractive conditions used by other authors in the literature. Employing our results, we check the existence solution to the Riemann-Liouville equation.

Acknowledgments

O.K. Oyewole acknowledges with thanks the bursary and financial support from the Department of Science and Technology and National Research Foundation, Republic of South Africa Center of Excellence in Mathematical and Statistical Sciences (DST-NRF COE-MaSS) Doctoral Bursary. L.O. Jolaoso is supported by the postdoctoral fellowship at the Sefako Makgatho Health Sciences University. This research is funded by the postdoctoral research fund at the Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria, South Africa.

Citation

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Olawale Kazeem Oyewole. Kazeem Olalekan Aremu. Lateef Olakunle Jolaoso. "Common Fixed Point Results for a Pair of Multivalued Mappings in Complex-Valued b-Metric Spaces." Abstr. Appl. Anal. 2020 1 - 9, 2020. https://doi.org/10.1155/2020/9738971

Information

Received: 1 August 2020; Accepted: 15 September 2020; Published: 2020
First available in Project Euclid: 28 July 2020

Digital Object Identifier: 10.1155/2020/9738971

Rights: Copyright © 2020 Hindawi

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