Convergence results for modified SP-iteration in uniformly convex metric spaces

Volume 26, Issue 2, pp 162--171 http://dx.doi.org/10.22436/jmcs.026.02.06

Publication Date: November 05, 2021 Submission Date: April 17, 2021 Revision Date: August 21, 2021 Accteptance Date: September 17, 2021

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Authors

P Sukprasert - Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, Pathumthani, 12110, Thailand. V. Yang - Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, Pathumthani, 12110, Thailand. R. Khunprasert - Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, Pathumthani, 12110, Thailand. W. Khuangsatung - Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, Pathumthani, 12110, Thailand.

Abstract

In this paper, we prove a strong convergence theorem of a Modified SP-iteration for finding a common fixed point of the combination of a finite family of nonexpansive mappings in a convex metric space. Moreover, we give some numerical example for supporting our main theorem and compare convergence rate between the modified SP-iteration and the Ishikawa iteration.

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Keywords

• Convergence theorem
• SP-iteration
• convex metric space

MSC

•  47H09
•  47H10

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