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Convergence Analysis of Altered Inertial Subgradient Extragradient Method for Solving Equilibrium and Fixed Point Problems in Hilbert Spaces

Fouzia AmirCenter for Research and Innovation , Asia International University , Yangiobod MFY , G'ijduvon street , House 74 , Bukhara , UzbekistanIlhom Ishoqovich JuraevNodira Djumayevna NamazovaMekhriddin Junaydulloevich AbdullaevSherali Shirinovich KhamidovFarxod IxtiyarovCenter for Research and Innovation , Asia International University , Yangiobod MFY , G'ijduvon street , House 74 , Bukhara , Uzbekistan
2026
ABI

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This paper aims to derive weak convergence analysis of the subgradient extragradient method with an alternating inertial step for addressing equilibrium and fixed-point problems in real Hilbert spaces. Our approach incorporates altered inertial techniques into a Halpern-type method, extending the classical subgradient extragradient framework.

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