On Mixed Type SP-iteration Schemes for Single-valued and Multi-valued Mappings in CAT(0) Spaces


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Authors

  • Yongquan Liu School of Teacher Education, Ji’an Preschool Teachers College, Ji'an, China
  • Xing Huang School of Teacher Education, Ji’an Preschool Teachers College, Ji'an, China
  • Suping Wang School of Sciences, Changzhou Institute of Technology, Changzhou, China

Keywords:

CAT(0) space, nonexpansive mappings, mixed type SP-iteration, $\Delta$-convergence, strong covvergence

Abstract

In this paper, we introduce a new mixed type SP-iteration process, which approximates the common fixed points of three single-valued non-expansive mappings and three multi-valued non-expansive mappings in CAT(0) spaces. We establish $\bigtriangleup-$convergence and strong convergence theorems for the new iterative process in CAT(0) spaces. Our results extend and improve the corresponding recent results announced by many authors.

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Published

04-09-2024

How to Cite

Liu, Y., Huang, X., & Wang, S. (2024). On Mixed Type SP-iteration Schemes for Single-valued and Multi-valued Mappings in CAT(0) Spaces. International Journal of Mathematics And Its Applications, 12(3), 39–60. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1478

Issue

Vol. 12 No. 3 (2024)

Section

Research Article

License

Copyright (c) 2024 International Journal of Mathematics And its Applications

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