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<p>In this paper, we introduce a proximal point algorithms for attractive points and minimization problems in <i>CAT</i>(0) spaces. We prove <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12215_2025_1209_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Delta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Δ</mi> </math></EquationSource> </InlineEquation>-convergence and strong convergence of the said schemes to a common solution in the set of minimizers of some lower semicontinuous functions and the set of attractive points of further 2-generalized hybrid mappings. Our results complement and improve some recent important results announced in the literature.</p>

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Proximal point algorithm for attractive points of further 2-generalized hybrid mappings in CAT(0) space

  • 期刊论文

  • 发表日期：

    2025年3月25日

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  • Bashir Ali,
  • Auwalu Ali Alasan,
  • Murtala Haruna Harbau

摘要

In this paper, we introduce a proximal point algorithms for attractive points and minimization problems in CAT(0) spaces. We prove \(\Delta \) Δ -convergence and strong convergence of the said schemes to a common solution in the set of minimizers of some lower semicontinuous functions and the set of attractive points of further 2-generalized hybrid mappings. Our results complement and improve some recent important results announced in the literature.