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On fixed point approximation method for finite family of $k$-strictly pseudo-contractive mappings and pseudomonotone equilibrium problem in Hadamard space. | ||
International Journal of Nonlinear Analysis and Applications | ||
مقاله 2، دوره 14، شماره 1، فروردین 2023، صفحه 11-24 اصل مقاله (450.91 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25010.2882 | ||
نویسندگان | ||
Hammed Anuoluwapo Abass* 1، 2؛ Kazeem Oewole1؛ Kazeem Olalekan Aremu3، 4؛ Akindele Adebayo Mebawondu1، 2؛ Ojen Kumar Narain1 | ||
1School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa | ||
2DSI-NRF Center of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), South Africa | ||
3Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria, P.O. Box 60, 0204, South Africa | ||
4Department of Mathematics, Usmanu Danfodiyo University Sokoto, PMB 2346, Sokoto State, Nigeria | ||
تاریخ دریافت: 05 آبان 1400، تاریخ بازنگری: 05 اردیبهشت 1401، تاریخ پذیرش: 09 اردیبهشت 1401 | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Strictly pseudo-contractive mapping؛ Hadamard spaces؛ pseudomonotone equilibrium؛ extragradient algorithm؛ fixed point problem | ||
مراجع | ||
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