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A New Algorithm for Monotone Inclusion Problems and Fixed Points on Hadamard Manifolds with Applications

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Abstract

In this article, we propose a new algorithm and prove that the sequence generalized by the algorithm converges strongly to a common element of the set of fixed points for a quasi-pseudo-contractive mapping and a demi-contraction mapping and the set of zeros of monotone inclusion problems on Hadamard manifolds. As applications, we use our results to study the minimization problems and equilibrium problems in Hadamard manifolds.

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Authors and Affiliations

  1. Center for General Education, China Medical University, Taichung, Taiwan, 40402, China

    Shih-sen Chang  (张石生)

  2. Department of Mathematics, Yibin University, Yibin, 644007, China

    Jinfang Tang  (唐金芳)

  3. Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung, Taiwan, 80708, China

    Chingfeng Wen  (温 庆丰)

Authors
  1. Shih-sen Chang  (张石生)
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  2. Jinfang Tang  (唐金芳)
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  3. Chingfeng Wen  (温 庆丰)
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Corresponding author

Correspondence to Shih-sen Chang  (张石生).

Additional information

This study was supported by the Natural Science Foundation of China Medical University, Taiwan. This work was also supported by Scientific Research Fund of SiChuan Provincial Education Department (14ZA0272).

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Chang, Ss., Tang, J. & Wen, C. A New Algorithm for Monotone Inclusion Problems and Fixed Points on Hadamard Manifolds with Applications. Acta Math Sci 41, 1250–1262 (2021). https://doi.org/10.1007/s10473-021-0413-9

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  • DOI: https://doi.org/10.1007/s10473-021-0413-9

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