ON THE NEW MULTI-STEP ITERATION PROCESS FOR MULTI-VALUED MAPPINGS IN A COMPLETE GEODESIC SPACE

Volume: 64 Number: 2 August 1, 2015
  • Aynur Şahin
  • Metin Başarır
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

  1. 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.
  2. Bridson, M. and Hae*iger, A., Metric Spaces of Non-Positive Curvature, Springer, Berlin, 1999.
  3. Espinola, R. and Fernandez-Leon, A., CAT( )-spaces, weak convergence and …xed points, J. Math. Anal. Appl. 353 (2009), 410-427.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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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Authors

Aynur Şahin This is me

Metin Başarır This is me

Publication Date

August 1, 2015

Submission Date

-

Acceptance Date

-

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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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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