Strong convergence theorem for family of minimization and monotone inclusion problems in Hadamard spaces

Chinedu Izuchukwu; Godwin C. Ugwunnadi; Oluwatosin Temitope Mewomo

Ayuda

Strong convergence theorem for family of minimization and monotone inclusion problems in Hadamard spaces

Izuchukwu, Chinedu ^[1] ; Ugwunnadi, Godwin C. ^[2] ; Mewomo, Oluwatosin Temitope ^[1]
1. [1] University of KwaZulu-Natal
  
  University of KwaZulu-Natal
  
  Ethekwini, Sudáfrica
2. [2] University of Swaziland
  
  University of Swaziland
  
  Suazilandia
Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 2, 2021, págs. 525-558
Idioma: inglés
DOI: 10.22199/issn.0717-6279-2021-02-0030
Enlaces
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Resumen
- In this paper, we introduce a modified Ishikawa-type proximal point algorithm for approximating a common solution of minimization problem, monotone inclusion problem and fixed point problem. We obtain a strong convergence of the proposed algorithm to a common solution of finite family of minimization problem, finite family of monotone inclusion problem and fixed point problem for asymptotically demicontractive mapping in Hadamard spaces. Numerical example is given to illustrate the applicability of our main result. Our results complement and extend some recent results in literature.
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