EN
ON THE NEW MULTI-STEP ITERATION PROCESS FOR MULTI-VALUED MAPPINGS IN A COMPLETE GEODESIC SPACE
Abstract
The purpose of this paper is to prove the strong and 4-convergencetheorems of the new multi-step iteration process for multi-valued quasi-nonexpansivemappings in a complete geodesic space. Our results extend and improve someresults in the literature
Keywords
References
- Ba¸sarır, M. and ¸Sahin, A., On the strong and 4-convergence of new multi-step and S-iteration processes in a CAT(0) space, J. Inequal. Appl. 2013, Article ID 482, 13 pages.
- Bridson, M. and Hae*iger, A., Metric Spaces of Non-Positive Curvature, Springer, Berlin, 1999.
- Espinola, R. and Fernandez-Leon, A., CAT( )-spaces, weak convergence and …xed points, J. Math. Anal. Appl. 353 (2009), 410-427.
- Gürsoy, F., Karakaya, V. and Rhoades, B. E., Data dependence results of new multi-step and S-iterative schemes for contractive-like operators, Fixed Point Theory Appl. 2013, Article ID 76, 12 pages.
- He, J. S., Fang, D. H., López, G. and Li, C., Mann’s algorithm for nonexpansive mappings in CAT( ) spaces, Nonlinear Anal. 75 (2012), 445-452.
- Khan, S. H., Fukhar-ud-din, H. and Kalsoom, A., Common …xed points of two multivalued nonexpansive maps by a one-step implicit algorithm in hyperbolic spaces, Matematiµcki Vesnik 66(4) (2014), 397-409.
- Kimura, Y. and Nakagawa, K., Another type of Mann iterative scheme for two mappings in a complete geodesic space, J. Inequal. Appl. 2014, Article ID 72, 9 pages.
- Kimura, Y., Saejung, S. and Yotkaew, P., The Mann algorithm in a complete geodesic space with curvature bounded above, Fixed Point Theory Appl. 2013, Article ID 336, 13 pages.
Details
Primary Language
English
Subjects
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Journal Section
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Publication Date
August 1, 2015
Submission Date
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Acceptance Date
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Published in Issue
Year 2015 Volume: 64 Number: 2
APA
Şahin, A., & Başarır, M. (2015). ON THE NEW MULTI-STEP ITERATION PROCESS FOR MULTI-VALUED MAPPINGS IN A COMPLETE GEODESIC SPACE. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 64(2), 77-87. https://doi.org/10.1501/Commua1_0000000735
AMA
1.Şahin A, Başarır M. ON THE NEW MULTI-STEP ITERATION PROCESS FOR MULTI-VALUED MAPPINGS IN A COMPLETE GEODESIC SPACE. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2015;64(2):77-87. doi:10.1501/Commua1_0000000735
Chicago
Şahin, Aynur, and Metin Başarır. 2015. “ON THE NEW MULTI-STEP ITERATION PROCESS FOR MULTI-VALUED MAPPINGS IN A COMPLETE GEODESIC SPACE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 64 (2): 77-87. https://doi.org/10.1501/Commua1_0000000735.
EndNote
Şahin A, Başarır M (August 1, 2015) ON THE NEW MULTI-STEP ITERATION PROCESS FOR MULTI-VALUED MAPPINGS IN A COMPLETE GEODESIC SPACE. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 64 2 77–87.
IEEE
[1]A. Şahin and M. Başarır, “ON THE NEW MULTI-STEP ITERATION PROCESS FOR MULTI-VALUED MAPPINGS IN A COMPLETE GEODESIC SPACE”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 64, no. 2, pp. 77–87, Aug. 2015, doi: 10.1501/Commua1_0000000735.
ISNAD
Şahin, Aynur - Başarır, Metin. “ON THE NEW MULTI-STEP ITERATION PROCESS FOR MULTI-VALUED MAPPINGS IN A COMPLETE GEODESIC SPACE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 64/2 (August 1, 2015): 77-87. https://doi.org/10.1501/Commua1_0000000735.
JAMA
1.Şahin A, Başarır M. ON THE NEW MULTI-STEP ITERATION PROCESS FOR MULTI-VALUED MAPPINGS IN A COMPLETE GEODESIC SPACE. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2015;64:77–87.
MLA
Şahin, Aynur, and Metin Başarır. “ON THE NEW MULTI-STEP ITERATION PROCESS FOR MULTI-VALUED MAPPINGS IN A COMPLETE GEODESIC SPACE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 64, no. 2, Aug. 2015, pp. 77-87, doi:10.1501/Commua1_0000000735.
Vancouver
1.Aynur Şahin, Metin Başarır. ON THE NEW MULTI-STEP ITERATION PROCESS FOR MULTI-VALUED MAPPINGS IN A COMPLETE GEODESIC SPACE. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2015 Aug. 1;64(2):77-8. doi:10.1501/Commua1_0000000735
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