Sep 2026· INTERNATIONAL JOURNAL OF APPLIED SCIENCE AND MATHEMATICAL THEORY· 0 citations
Abstract
Motivated and inspired by a novel article of Tan and Li (2022) on projection and contraction
method for solving variational inequalities, we introduce and study an improved and generalized
version of their work. To be precise, we provide an iterative algorithm for solving variational
inequalities with quasi-monotone and Lipschitz continuous operator in real Hilbert spaces. A selfadaptive stepsize is incorporated and our computation does not involve the prior information of
the Lipschitz constant of the nonlinear operator. More so, a weaker assumption than sequentially
weakly continuity condition is considered. A strong convergence of the proposed algorithm is
established under some mild assumptions. Furthermore, some numerical examples are equally
provided.
In this paper, we propose a viscosity-type double inertial algorithm with self-adaptive stepsizes for solving non-monotone variational inequality problems involving uniformly continuous operators in real Hilbert spaces. The proposed method combines viscosity approximation and double inertial extrapolation techniques wi...
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This paper introduces and analyzes an inertial projection iterative scheme for solving combined generalized general variational-like inequality problem (CGGVLIP), the zero problem associated with a γ-inverse strongly monotone mapping, and the common fixed-point problem of a finite family of relatively nonexpansive mapp...
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