Geodesic
An iterative algorithm for minimization and fixed point problems of two families of pseudononspreading mappings in Hadamard spaces
Novi Sad Journal of Mathematics, Tome 54 (2024) no. 1.

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Using the $S$-type iteration process, we introduce a modified proximal point algorithm for approximating a common solution of the minimization problem and fixed point problem in Hadamard spaces. In particular, we establish strong convergence of the proposed algorithm to a common solution of a finite family of the minimization problem and the fixed point problem of two finite families of generalized $k$-strictly pseudononspreading mappings. Numerical example in support of our main result is given to 14illustrate its applicability. Our work improves and extends some recent results existing in the current literature.
Publié le :
DOI : 10.30755/NSJOM.14084
Classification : 47H09, 47H10, 49J20, 49J40
Keywords: CAT(0) spaces, generalized $k$-strictly pseudononspreading, $k$-strictly pseudononspreading, $S$-type iteration process, proximal point algorithm, minimization problem 
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     author = {Mujahid Abbas and Chinedu Izuchukwu and Abdul Rahim Khan and Oluwatosin Temitope Mewomo and Godwin C. Ugwunnadi},
     title = {An iterative algorithm for minimization and fixed point problems of two 
	families of pseudononspreading mappings in {Hadamard} spaces},
     journal = {Novi Sad Journal of Mathematics},
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Mujahid Abbas; Chinedu Izuchukwu; Abdul Rahim Khan; Oluwatosin Temitope Mewomo; Godwin C. Ugwunnadi. An iterative algorithm for minimization and fixed point problems of two 
	families of pseudononspreading mappings in Hadamard spaces. Novi Sad Journal of Mathematics, Tome 54 (2024) no. 1. doi : 10.30755/NSJOM.14084. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.14084/

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