On fixed point approximation method for finite family of k-strictly pseudo-contractive mappings and pseudomonotone equilibrium problem in Hadamard space.
سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 76
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شناسه ملی سند علمی:
JR_IJNAA-14-1_002
تاریخ نمایه سازی: 5 شهریور 1402
چکیده مقاله:
In this paper, we first introduce the Halpern iteration process for approximating the solution of the fixed point problem of a finite family of k-strictly pseudo-contractive mappings in Hadamard spaces. We also propose an extra gradient Halpern iterative algorithm for approximating a common solution of a finite family of k_j-strictly pseudocontractive mappings and a pseudomonotone equilibrium problem in Hadamard space. We prove a strong convergence result without imposing any strict (compactness) conditions for approximating the solutions to the aforementioned problems. We state some consequences of our results and display some numerical examples to show the performance of our results. Our results improve and generalize many recent results in the literature.
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نویسندگان
Hammed Abass
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
Kazeem Oewole
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
Kazeem Aremu
Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria, P.O. Box ۶۰, ۰۲۰۴, South Africa
Akindele Mebawondu
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
Ojen Narain
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa