Common fixed point of generalized weakly contractive mappings on orthogonal modular spaces with applications

	Common fixed point of generalized weakly contractive mappings on orthogonal modular spaces with applications
International Journal of Nonlinear Analysis and Applications
دوره 12، شماره 2، بهمن 2021، صفحه 1121-1140 اصل مقاله (429.53 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22454.2365
نویسنده
Fatemeh Lael^*
Imam Khomeini International University, Buin Zahra Higher Education Center of Engineering and Technology, Buin Zahra, 3451866391, Qazvin, Iran
چکیده
In this paper, we provide certain conditions under which guarantee the existence of a common fixed point for weakly contractive mappings defined on orthogonal modular spaces. Also, Banach fixed point theorem on an orthogonal modular space without completeness is obtained. To prove much stronger and more applicable results, some strong assumptions such as the convexity and the Fatou property of a modular are relaxed.
کلیدواژه‌ها
Orthogonal modular space؛ Fixed point؛ coincidence point
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