Fixed point theorems in modular b-metric spaces and application
DOI:
https://doi.org/10.5269/bspm.64520Resumo
In this paper, we prove a general fixed point theorem for a mapping satisfying a new type of implicit relation in modular b-metric spaces and we give an application to establish the existence of a solution for a system of nonlinear integral equations.
Referências
1. Chistyakov, V.V., Modular metric spaces, I: Basic concepts, Nonlinear Anal., 72, 1-14, (2010).
2. Ege, M.E., Alaca, C., Some Results for Modular b−Metric Spaces and an Application to System of Linear Equations, Azerbaijan Journal of Mathematics, V. 8, No 1, January, ISSN 2218-6816, (2018).
3. El Haddouchi, A., Marzouki, B., A Generalized Fixed Point Theorem in G−metric Space, Journal of Analysis and applications. Vol 17, 89-105, (2019).
4. N. Makran, A. El Haddouchi, B. Marzouki, A Common Fixed Point of Multi-valued Maps in b−Metric Space, U.P.B. Sci. Bull., Series A, Vol. 82, Iss. 1, (2020), ISSN 1223-7027.
5. B. Marzouki,A. El Haddouchi, Generalized Altering Distances And Fixed Point for Occasionally Hybrid Mappings, Fasc. Math., 56, 111-120, (2016).
6. B. Marzouki, A. El Haddouchi, Common Fixed Point of Multi-Valued Maps, Nonlinear Analysis and Differential Equations, Vol. 4, no. 1 ,1-7, (2016).
7. B. Marzouki,A. El Haddouchi, A Common Fixed Point Theorem in Modular Space, Nonlinear Analysis and Differential Equations, Vol. 4, no. 5, 219 - 223, (2016).
8. A. Sadrati, A. Zertiti, Existence and Uniqueness of Positive Almost Periodic Solutions for Systems of Nonlinear Delay Integral Equations, Electronic Journal of Differential Equations, Vol. 2015, No. 116, pp. 1-12, (2015).
2. Ege, M.E., Alaca, C., Some Results for Modular b−Metric Spaces and an Application to System of Linear Equations, Azerbaijan Journal of Mathematics, V. 8, No 1, January, ISSN 2218-6816, (2018).
3. El Haddouchi, A., Marzouki, B., A Generalized Fixed Point Theorem in G−metric Space, Journal of Analysis and applications. Vol 17, 89-105, (2019).
4. N. Makran, A. El Haddouchi, B. Marzouki, A Common Fixed Point of Multi-valued Maps in b−Metric Space, U.P.B. Sci. Bull., Series A, Vol. 82, Iss. 1, (2020), ISSN 1223-7027.
5. B. Marzouki,A. El Haddouchi, Generalized Altering Distances And Fixed Point for Occasionally Hybrid Mappings, Fasc. Math., 56, 111-120, (2016).
6. B. Marzouki, A. El Haddouchi, Common Fixed Point of Multi-Valued Maps, Nonlinear Analysis and Differential Equations, Vol. 4, no. 1 ,1-7, (2016).
7. B. Marzouki,A. El Haddouchi, A Common Fixed Point Theorem in Modular Space, Nonlinear Analysis and Differential Equations, Vol. 4, no. 5, 219 - 223, (2016).
8. A. Sadrati, A. Zertiti, Existence and Uniqueness of Positive Almost Periodic Solutions for Systems of Nonlinear Delay Integral Equations, Electronic Journal of Differential Equations, Vol. 2015, No. 116, pp. 1-12, (2015).
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2025-09-17
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