A THREE STEPS ITERATIVE PROCESS FOR APPROXIMATING THE FIXED POINTS OF MULTIVALUED GENERALIZED α-NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES

İbrahim Karahan; Lateef Olakunle Jolaoso

A THREE STEPS ITERATIVE PROCESS FOR APPROXIMATING THE FIXED POINTS OF MULTIVALUED GENERALIZED α-NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES

Abstract

In this paper, we prove some fixed point properties and demiclosedness principle for multivalued generalized α-nonexpansive mappings in uniformly convex hyperbolic spaces. We also proposed a three steps iterative scheme for approximating the common fixed points of generalized α-nonexpansive mapping and prove some strong and Δ-convergence theorems for such operator in the setting of uniformly convex hyperbolic space. We provide a numerical example to show that the three steps scheme proposed in this paper performs better than the modified SP-iterative scheme. The results obtained in this paper extend and generalized the corresponding results in uniformly convex Banach spaces, CAT(0) space and many other results in this direction.

Keywords

References

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

İbrahim Karahan This is me
0000-0001-6191-7515
Türkiye

Lateef Olakunle Jolaoso This is me
0000-0002-4838-7465
South Africa

Publication Date

June 1, 2021

Submission Date

October 30, 2019

Acceptance Date

May 12, 2020

Published in Issue

Year 2020 Volume: 38 Number: 2

IZ

https://izlik.org/JA64LP62UZ

Cite

RIS / Bibtex

APA

Karahan, İ., & Jolaoso, L. O. (2021). A THREE STEPS ITERATIVE PROCESS FOR APPROXIMATING THE FIXED POINTS OF MULTIVALUED GENERALIZED α-NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES. Sigma Journal of Engineering and Natural Sciences, 38(2), 1031-1050. https://izlik.org/JA64LP62UZ

AMA

1.Karahan İ, Jolaoso LO. A THREE STEPS ITERATIVE PROCESS FOR APPROXIMATING THE FIXED POINTS OF MULTIVALUED GENERALIZED α-NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES. SIGMA. 2021;38(2):1031-1050. https://izlik.org/JA64LP62UZ

Chicago

Karahan, İbrahim, and Lateef Olakunle Jolaoso. 2021. “A THREE STEPS ITERATIVE PROCESS FOR APPROXIMATING THE FIXED POINTS OF MULTIVALUED GENERALIZED α-NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES”. Sigma Journal of Engineering and Natural Sciences 38 (2): 1031-50. https://izlik.org/JA64LP62UZ.

EndNote

Karahan İ, Jolaoso LO (June 1, 2021) A THREE STEPS ITERATIVE PROCESS FOR APPROXIMATING THE FIXED POINTS OF MULTIVALUED GENERALIZED α-NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES. Sigma Journal of Engineering and Natural Sciences 38 2 1031–1050.

IEEE

[1]İ. Karahan and L. O. Jolaoso, “A THREE STEPS ITERATIVE PROCESS FOR APPROXIMATING THE FIXED POINTS OF MULTIVALUED GENERALIZED α-NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES”, SIGMA, vol. 38, no. 2, pp. 1031–1050, June 2021, [Online]. Available: https://izlik.org/JA64LP62UZ

ISNAD

Karahan, İbrahim - Jolaoso, Lateef Olakunle. “A THREE STEPS ITERATIVE PROCESS FOR APPROXIMATING THE FIXED POINTS OF MULTIVALUED GENERALIZED α-NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES”. Sigma Journal of Engineering and Natural Sciences 38/2 (June 1, 2021): 1031-1050. https://izlik.org/JA64LP62UZ.

JAMA

1.Karahan İ, Jolaoso LO. A THREE STEPS ITERATIVE PROCESS FOR APPROXIMATING THE FIXED POINTS OF MULTIVALUED GENERALIZED α-NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES. SIGMA. 2021;38:1031–1050.

MLA

Karahan, İbrahim, and Lateef Olakunle Jolaoso. “A THREE STEPS ITERATIVE PROCESS FOR APPROXIMATING THE FIXED POINTS OF MULTIVALUED GENERALIZED α-NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES”. Sigma Journal of Engineering and Natural Sciences, vol. 38, no. 2, June 2021, pp. 1031-50, https://izlik.org/JA64LP62UZ.

Vancouver

1.İbrahim Karahan, Lateef Olakunle Jolaoso. A THREE STEPS ITERATIVE PROCESS FOR APPROXIMATING THE FIXED POINTS OF MULTIVALUED GENERALIZED α-NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES. SIGMA [Internet]. 2021 Jun. 1;38(2):1031-50. Available from: https://izlik.org/JA64LP62UZ