A novel iterative approach for solving common fixed point problems in Geodesic spaces with convergence analysis-Reference-Cited by-同舟云学术

A novel iterative approach for solving common fixed point problems in Geodesic spaces with convergence analysis

Published:2021-06-09 Issue:2 Volume:37 Page:145-160
ISSN:1843-4401
Container-title:Carpathian Journal of Mathematics
language:
Short-container-title:CJM

Author:

BANTAOJAI THANATPORN¹,GARODIA CHANCHAL²,UDDIN IZHAR³,PAKKARANANG NUTTAPOL⁴,YIMMUANG PANU⁵

Affiliation:

1. MATHEMATICS ENGLISH PROGRAM, FACULTY OF EDUCATION, VALAYA ALONGKORN RAJABHAT UNIVERSITY UNDER THE ROYAL PATRONAGE, KLONG LUANG, PATHUMTHANI, THAILAND

2. DEPARTMENT OF MATHEMATICS, JAMIA MILLIA ISLAMIA, INDIA

3. DEPARTMENT OF MATHEMATICS, JAMIA MILLIA ISLAMIA, INDIA

4. DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, KING MONGKUT'S UNIVERSITY OF TECHNOLOGY THONBURI (KMUTT), BANGKOK, THAILAND

5. SCHOOL OF MATHEMATICS, INSTITUTE OF SCIENCE, SURANAREE UNIVERSITY OF TECHNOLOGY, THAILAND

Abstract

In this paper, we introduce a new iterative method for nonexpansive mappings in CAT(\kappa) spaces. First, the rate of convergence of proposed method and comparison with recently existing method is proved. Second, strong and \Delta-convergence theorems of the proposed method in such spaces under some mild conditions are also proved. Finally, we provide some non-trivial examples to show efficiency and comparison with many previously existing methods.

Publisher

Technical University of Cluj Napoca, North University Center of Baia Mare

Subject

General Mathematics

Reference15 articles.

1. "[1] Alfuraidan, M. R., Vetr´ık, T. and Balachandran, S., General multiplicative Zagreb indices of graphs with a small number of cycles, Symmetry, 12 (2020), No. 4, 514

2. [2] Basavanagoud, B. and Patil, S., Multiplicative Zagreb indices and coindices of some derived graphs, Opuscula Math., 36 (2016), No. 3, 287–299

3. [3] Ghorbani, M. and Songhori, M., Computing multiplicative Zagreb indices with respect to chromatic and clique numbers, Iran. J. Math. Chem., 5 (2014), No. 1, 11–18

4. [4] Das, K. C., Yurttas, A., Togan, M., Cevik, A. S. and Cangul, I. N., The multiplicative Zagreb indices of graph operations, J. Inequal. Appl., 2013, 90 (2013), https://doi.org/10.1186/1029-242X-2013-90

5. [5] Gutman, I., Multiplicative Zagreb indices of trees, Bull. Internat. Math. Virt. Inst. 1 (2011), 13–19

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