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Ciric type multi-valued $\alpha _{\ast }$-$\eta _{\ast }$-$\theta $-contractions on b-metric spaces with applications | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 47، دوره 12، شماره 1، مرداد 2021، صفحه 597-614 اصل مقاله (469.96 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4865 | ||
| نویسندگان | ||
| Eskandar Ameer1؛ Hassen Aydi2؛ Muhammad Arshad3؛ Aftab Hussain* 4؛ Abdul rahim Khan5 | ||
| 1Department of Mathematics, Taiz University, Taiz, Yemen | ||
| 2University of Dammam, Department of Mathematics. College of Education of Jubail, P.O: 12020, Industrial Jubail 31961. Saudi Arabia | ||
| 3Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan | ||
| 4Department of Mathematics, Faculty of Natural Sciences, Centre for Mathematical Research, Khawaja Fareed University of Engineering and Information Technology Rahim Yar Khan, Pakistan | ||
| 5Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia | ||
| تاریخ دریافت: 05 تیر 1397، تاریخ بازنگری: 15 آبان 1398، تاریخ پذیرش: 26 بهمن 1398 | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| fixed point؛ $\alpha$-complete b-metric space؛ $alpha$-continuous multi-valued mappings؛ triangular $\alpha$-orbital admissible؛ generalized multi-valued $\alpha_{\ast }$-$\eta_{\ast }$-$theta$-contractions. | ||
| مراجع | ||
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