Function weighted $\mathcal{G}$-metric spaces and Hausdorff $\Delta$-distances; an application to fixed point theory

	Function weighted $\mathcal{G}$-metric spaces and Hausdorff $\Delta$-distances; an application to fixed point theory
International Journal of Nonlinear Analysis and Applications
دوره 12، شماره 2، بهمن 2021، صفحه 1441-1452 اصل مقاله (390.64 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.20547.2167
نویسندگان
Ehsan Lotfali Ghasab؛ Hamid Majani^*
Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran
چکیده
In this paper, we introduce a new space which is a generalization of function weighted metric space introduced by Jleli and Samet [On a new generalization of metric spaces, J. Fixed Point Theory Appl. 2018, 20:128] where namely function weighted $\mathcal{G}$-metric space. Also, a Hausdorff $\Delta$-distance is introduced in these spaces. Then several fixed point results for both single-valued and multi-valued mappings in such spaces are proved. We also construct some examples for the validity of the given results and present an application to the existence of a solution of the Volterra-type integral equation.
کلیدواژه‌ها
Function weighted $\mathcal{G}$-metric space؛ Hausdorff $\Delta$-distance؛ coupled coincidence point؛ common coupled fixed point
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