Orbitally convergent of inverse shadowing property on G-spaces

Al-Yaseen, May A. A.; Zghair, Hayder Kadhim; Abood, Raad Safah

doi:10.47974/JIM-2529

Open Access Research Article

Orbitally convergent of inverse shadowing property on G-spaces

May A. A. Al-Yaseenpure.may.alaa@uobabylon.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesUniversity of BabylonBabylon, 51001, IraqView full profile → , ^*Hayder Kadhim ZghairCorresponding authorhyderkkk@uobabylon.edu.iqDepartment of SoftwareFaculty of Information TechnologyUniversity of BabylonBabylon, 51001, IraqView full profile → , Raad Safah Aboodraadalhulali@gmail.comDepartment of MathematicsGeneral Directorate of Education Babylon, Ministry of EducationBabylon, 51001, IraqView full profile →

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pp. 1425–1431Vol. 29Issue 5-BMay 2026DOI: 10.47974/JIM-2529XML

Received:: 01 Nov 2025
Published Online:: 26 Jun 2026
Article type:: Research Article
Language:: EN
Article no.:: JIM-2529
Pages:: 1425–1431

Abstract

The sufficient conditions were obtained under which the uniform convergence of mappings shows a dynamical behavior at a point of inverse shadowing in G-space. Since orbital convergence is stronger than uniform convergence, we observe that the relations among inverse shadowing have some properties like transitivity, a dense set of periodic points, dense small periodic sets, weak mixing, and sensitive in G- orbital convergence. And then investigate that orbital convergence deserves G-chaotic. The quantity demanded and investment in research and development, while the other model focuses on a more realistic relationship between the quantity demanded and the price.

Keywords

Compact metric 𝔊 – şpace (CpMtSp)𝔊 Topological 𝔊 – transitive(ToTr)𝔊 𝔊 – inverse shadowing property (InShPr)𝔊 𝔊 – orbitally convergent (OrCv)G

Subject Classifications

Primary 93A30Secondary 49K15

References

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