On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space

Nazlı Kadıoğlu Karaca

doi:10.51354/mjen.1361003

EN

On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space

Abstract

In this paper, we introduce the definition of a new class of generalized nonexpansive mappings in hyperbolic space. Additionally, we construct the rewritten version of the Mann iteration process in hyperbolic space. Then, using the iterative procedure we established, we prove convergence theorems for 𝑎−𝑏−generalized nonexpansive mappings in a uniformly convex hyperbolic space. Lastly, we offer a numerical example to illustrate our findings.

Keywords

Fixed point, generalized nonexpansive mappings, uniformly convex hyperbolic space

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Nazlı Kadıoğlu Karaca ^*
0000-0002-6308-5879
Türkiye

Publication Date

December 25, 2023

Submission Date

September 15, 2023

Acceptance Date

December 13, 2023

Published in Issue

Year 2023 Volume: 11 Number: 2

DOI

https://doi.org/10.51354/mjen.1361003

IZ

https://izlik.org/JA48FG27KG

APA

Kadıoğlu Karaca, N. (2023). On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space. MANAS Journal of Engineering, 11(2), 223-228. https://doi.org/10.51354/mjen.1361003

AMA

1.Kadıoğlu Karaca N. On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space. MJEN. 2023;11(2):223-228. doi:10.51354/mjen.1361003

Chicago

Kadıoğlu Karaca, Nazlı. 2023. “On Approximating Fixed Points of a New Class of Generalized Nonexpansive Mappings in Uniformly Convex Hyperbolic Space”. MANAS Journal of Engineering 11 (2): 223-28. https://doi.org/10.51354/mjen.1361003.

EndNote

Kadıoğlu Karaca N (December 1, 2023) On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space. MANAS Journal of Engineering 11 2 223–228.

IEEE

[1]N. Kadıoğlu Karaca, “On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space”, MJEN, vol. 11, no. 2, pp. 223–228, Dec. 2023, doi: 10.51354/mjen.1361003.

ISNAD

Kadıoğlu Karaca, Nazlı. “On Approximating Fixed Points of a New Class of Generalized Nonexpansive Mappings in Uniformly Convex Hyperbolic Space”. MANAS Journal of Engineering 11/2 (December 1, 2023): 223-228. https://doi.org/10.51354/mjen.1361003.

JAMA

1.Kadıoğlu Karaca N. On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space. MJEN. 2023;11:223–228.

MLA

Kadıoğlu Karaca, Nazlı. “On Approximating Fixed Points of a New Class of Generalized Nonexpansive Mappings in Uniformly Convex Hyperbolic Space”. MANAS Journal of Engineering, vol. 11, no. 2, Dec. 2023, pp. 223-8, doi:10.51354/mjen.1361003.

Vancouver

1.Nazlı Kadıoğlu Karaca. On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space. MJEN. 2023 Dec. 1;11(2):223-8. doi:10.51354/mjen.1361003

Manas Journal of Engineering

16155

Abstract

On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space

Abstract

Keywords

References

Details

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Publication Date

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Acceptance Date

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