<p>In this manuscript, we propose two average viscosity iterative schemes to approximate solutions of split equality common fixed point problems, which also address a pair of variational inequality problems governed by a broad class of demi-contractive mappings. We present examples of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\beta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>β</mi> </math></EquationSource> </InlineEquation>-demicontractive mappings that are neither nonexpansive nor quasi-nonexpansive, and not strictly pseudo-contractive. The strong convergence of these methods is established in Hilbert spaces, extending and generalizing earlier studies. Numerical experiments implemented in Python are provided to illustrate the convergence of our results.</p>

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Solving variational inequalities over solutions of split equality common fixed point problems for demicontractive mappings

  • Khairul Saleh

摘要

In this manuscript, we propose two average viscosity iterative schemes to approximate solutions of split equality common fixed point problems, which also address a pair of variational inequality problems governed by a broad class of demi-contractive mappings. We present examples of \(\beta \) β -demicontractive mappings that are neither nonexpansive nor quasi-nonexpansive, and not strictly pseudo-contractive. The strong convergence of these methods is established in Hilbert spaces, extending and generalizing earlier studies. Numerical experiments implemented in Python are provided to illustrate the convergence of our results.