Triple-adaptive subgradient extragradient with extrapolation procedure for bilevel split variational inequality

Abstract This paper introduces a triple-adaptive subgradient extragradient process with extrapolation to solve bilevel split pseudomonotone variational inequality problem (BSPVIP) the common fixed point constraint of finitely many nonexpansive mappings. The under consideration is in real Hilbert spaces, where BSPVIP involves demimetric mapping. proposed rule exploits strong monotonicity one operator at upper level and pseudomonotonicity another mapping lower level. convergence result for algorithm established some suitable assumptions. In addition, numerical example given demonstrate viability rule. Our results improve extend recent developments great extent.