Fixed Point Theorem for Generalized Interpolative Ćirić-Reich-Rus Type $F$-Contraction in Generalized Metric Spaces

Fatma Issa; Santosh Kumar; Mohammad Mursaleen; Marco Mpimbo

doi:10.36753/mathenot.1817086

Fixed Point Theorem for Generalized Interpolative Ćirić-Reich-Rus Type $F$-Contraction in Generalized Metric Spaces

Abstract

In this paper, we prove fixed point theorems for generalized interpolative Ćirić-Reich-Rus type $F$-contraction (in short, generalized interpolative CRR-type $F$-contraction) in the framework of orbitally generalized metric spaces and $F$-Kannan-Reich-Rus-Ćirić type contraction in $T$-orbitally generalized metric spaces. We also construct an example to demonstrate the utility of our main results. Finally, we apply our main result to examine the existence and uniqueness of solutions to the differential equations.

Keywords

Differential equation, Fixed point, Generalized interpolative CRR-type $F$-contraction

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Fatma Issa
0009-0000-6612-1479
Tanzania

Santosh Kumar
0000-0003-2121-6428
India

Mohammad Mursaleen ^*
0000-0003-4128-0427
India

Marco Mpimbo
0000-0001-6108-0065
Tanzania

Early Pub Date

July 26, 2026

Publication Date

-

Submission Date

November 19, 2025

Acceptance Date

July 20, 2026

Published in Issue

Year 2026 Number: Advanced Online Publication

DOI

https://doi.org/10.36753/mathenot.1817086

IZ

https://izlik.org/JA99YE54WR

APA

Issa, F., Kumar, S., Mursaleen, M., & Mpimbo, M. (2026). Fixed Point Theorem for Generalized Interpolative Ćirić-Reich-Rus Type $F$-Contraction in Generalized Metric Spaces. Mathematical Sciences and Applications E-Notes, Advanced Online Publication, 177-190. https://doi.org/10.36753/mathenot.1817086

AMA

1.Issa F, Kumar S, Mursaleen M, Mpimbo M. Fixed Point Theorem for Generalized Interpolative Ćirić-Reich-Rus Type $F$-Contraction in Generalized Metric Spaces. Math. Sci. Appl. E-Notes. 2026;(Advanced Online Publication):177-190. doi:10.36753/mathenot.1817086

Chicago

Issa, Fatma, Santosh Kumar, Mohammad Mursaleen, and Marco Mpimbo. 2026. “Fixed Point Theorem for Generalized Interpolative Ćirić-Reich-Rus Type $F$-Contraction in Generalized Metric Spaces”. Mathematical Sciences and Applications E-Notes, no. Advanced Online Publication: 177-90. https://doi.org/10.36753/mathenot.1817086.

EndNote

Issa F, Kumar S, Mursaleen M, Mpimbo M (July 1, 2026) Fixed Point Theorem for Generalized Interpolative Ćirić-Reich-Rus Type $F$-Contraction in Generalized Metric Spaces. Mathematical Sciences and Applications E-Notes Advanced Online Publication 177–190.

IEEE

[1]F. Issa, S. Kumar, M. Mursaleen, and M. Mpimbo, “Fixed Point Theorem for Generalized Interpolative Ćirić-Reich-Rus Type $F$-Contraction in Generalized Metric Spaces”, Math. Sci. Appl. E-Notes, no. Advanced Online Publication, pp. 177–190, July 2026, doi: 10.36753/mathenot.1817086.

ISNAD

Issa, Fatma - Kumar, Santosh - Mursaleen, Mohammad - Mpimbo, Marco. “Fixed Point Theorem for Generalized Interpolative Ćirić-Reich-Rus Type $F$-Contraction in Generalized Metric Spaces”. Mathematical Sciences and Applications E-Notes. Advanced Online Publication (July 1, 2026): 177-190. https://doi.org/10.36753/mathenot.1817086.

JAMA

1.Issa F, Kumar S, Mursaleen M, Mpimbo M. Fixed Point Theorem for Generalized Interpolative Ćirić-Reich-Rus Type $F$-Contraction in Generalized Metric Spaces. Math. Sci. Appl. E-Notes. 2026;:177–190.

MLA

Issa, Fatma, et al. “Fixed Point Theorem for Generalized Interpolative Ćirić-Reich-Rus Type $F$-Contraction in Generalized Metric Spaces”. Mathematical Sciences and Applications E-Notes, no. Advanced Online Publication, July 2026, pp. 177-90, doi:10.36753/mathenot.1817086.

Vancouver

1.Fatma Issa, Santosh Kumar, Mohammad Mursaleen, Marco Mpimbo. Fixed Point Theorem for Generalized Interpolative Ćirić-Reich-Rus Type $F$-Contraction in Generalized Metric Spaces. Math. Sci. Appl. E-Notes. 2026 Jul. 1;(Advanced Online Publication):177-90. doi:10.36753/mathenot.1817086