Some Convergence Results for the Solution of New Type of Variational Inequalities Associated with Generalized Pseudo-Monotone Mappings in Complete CAT (0) Spaces
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i4.6680Keywords:
projection type method, variational inequality, pseudo-monotone mappingAbstract
The basic purpose of this article is to introduce a generalized version of pseudo-monotone variational inequality in the setting of complete $\mathcal{CAT}(0)$ spaces and to present some strong and $\Delta$-convergence results for the existence of solutions for the respective variational inequality problem. Algorithm 1 and 2 are proposed in accordance with pseudo-monotone and $\alpha$-strongly pseudo-monotone mappings to prove our results under some conditions. A numerical implication of our proposed algorithm is also presented.
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Copyright (c) 2025 Maliha Rashid, Amna Kalsoom, Nida Masood, Ahmad Aloqaily, Nabil Mlaiki
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