International Journal of Nonlinear Analysis and Applications
Ciric type multi-valued $\alpha _{\ast }$-$\eta _{\ast }$-$\theta $-contractions on b-metric spaces with applications
Document Type : Research Paper
Authors
1 Department of Mathematics, Taiz University, Taiz, Yemen
2 University of Dammam, Department of Mathematics. College of Education of Jubail, P.O: 12020, Industrial Jubail 31961. Saudi Arabia
3 Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan
4 Department of Mathematics, Faculty of Natural Sciences, Centre for Mathematical Research, Khawaja Fareed University of Engineering and Information Technology Rahim Yar Khan, Pakistan
5 Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Abstract
In this paper, we give sufficient conditions for the existence of solutions of a system of Volterra-type integral inclusion equations using new sort of multi-valued contractions, named as generalized multi-valued $\alpha _{\ast} $-$\eta _{\ast }$-$\theta $-contractions defined on $\alpha $-complete b-metric spaces. We give its relevance to fixed point results. We set up an example to elucidate our main results.
Keywords
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Volume 12, Issue 1
May 2021Pages 597-614
- Receive Date: 26 June 2018
- Revise Date: 06 November 2019
- Accept Date: 15 February 2020