Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 12 2 2021 11 01 Common fixed point of generalized weakly contractive mappings on orthogonal modular spaces with applications 1121 1140 5186 10.22075/ijnaa.2021.22454.2365 EN Fatemeh Lael Imam Khomeini International University, Buin Zahra Higher Education Center of Engineering and Technology, Buin Zahra, 3451866391, Qazvin, Iran Journal Article 2021 01 24 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. https://ijnaa.semnan.ac.ir/article_5186_61854ba415e5a3b45a48f4b1f64f0545.pdf