International Journal of Nonlinear Analysis and Applications
Common fixed point of generalized weakly contractive mappings on orthogonal modular spaces with applications
Document Type : Research Paper
Author
Imam Khomeini International University, Buin Zahra Higher Education Center of Engineering and Technology, Buin Zahra, 3451866391, Qazvin, Iran
Abstract
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.
Keywords
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[29] M.A. Kutbi and A. Latif, Fixed points of multivalued mappings in modular function spaces, Fixed Point Theory Appl. 2009 (2009) 1–12.
[30] F. Lael and K. Nourouzi, On the fixed points of correspondences in modular spaces, Int. Scholar. Res. Network Geomet. 2011 (2011) 1–7.
[31] F. Lael and S. Shabanian, Convexity and boundedness relaxation for fixed point theorems in modular spaces, Appl. Gen. Topol. 22 (2021) 91–108.
[32] F. Lael, N. Saleem and M. Abbas, On the fixed points of multivalued mappings in b-metric spaces and their application to linear systems, U.P.B. Sci. Bull. Ser. A. 82 (2020) 121–130.
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[42] O. Popescu. Fixed point for (ψ, φ)−weak contractions, Appl. Math. Lett. 24 (2011) 1–4.
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Volume 12, Issue 2
November 2021Pages 1121-1140
- Receive Date: 24 January 2021
- Revise Date: 18 May 2021
- Accept Date: 29 May 2021