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<p>We examine the strong convergence results of the Tikhonov regularized dynamical systems for fixed points collection of strictly pseudocontractive mappings in the setting of Hilbert space <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathscr {H}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="script">H</mi> </math></EquationSource> </InlineEquation> as well as on the convex closed <i>U</i>-invariant subset containing <b>0</b> of <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\mathscr {H}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="script">H</mi> </math></EquationSource> </InlineEquation>. Also, we study Tikhonov regularized dynamical systems for common solution of fixed points of finite class of nonexpansive mappings. The proposed dynamical systems and their convergence are demonstrated by numerical examples. Also, we give an application to study the common solution of fixed point problem, monotone inclusion problem with an additive structure, equilibrium problem and variational inequality problem.</p>

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Tikhonov regularized dynamics for fixed points of strictly pseudocontractive mappings

  • 期刊论文

  • 发表日期：

    2026年4月7日

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  • Hardeep Singh Saluja

摘要

We examine the strong convergence results of the Tikhonov regularized dynamical systems for fixed points collection of strictly pseudocontractive mappings in the setting of Hilbert space \(\mathscr {H}\) H as well as on the convex closed U-invariant subset containing 0 of \(\mathscr {H}\) H . Also, we study Tikhonov regularized dynamical systems for common solution of fixed points of finite class of nonexpansive mappings. The proposed dynamical systems and their convergence are demonstrated by numerical examples. Also, we give an application to study the common solution of fixed point problem, monotone inclusion problem with an additive structure, equilibrium problem and variational inequality problem.