Scholarlink

Takahashi (Kodai Math Sem Rep 22:142–149, 1970) demonstrated convex structures in metric spaces that were not embedded in Banach spaces in 1970, sparking additional investigation. Extending to metric spaces, our work develops and extends Branciari’s theorem (Branciari in Int J Math Math Sci 29:531–536, 2002) to show common fixed point theorems for mappings meeting a specific integral condition. We address the best approximation method for exhibiting practical significance, emphasizing its relevance in both theoretical and practical situations as indicated by the authors (Manav Tatar and Agarwal in Mathematics 11(21):4455, 2023; Manav Tatar in Best approximation of Fixed Point results in generalized metric spaces, 2023). This study presents a concept that is consistent across several metric spaces.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Research in Best Approximation for Fixed Points in Generalized Metric Spaces

  • 章节

  • 发表日期：

    2025年

查看全文
  • Nesrin Manav Tatar

摘要

Takahashi (Kodai Math Sem Rep 22:142–149, 1970) demonstrated convex structures in metric spaces that were not embedded in Banach spaces in 1970, sparking additional investigation. Extending to metric spaces, our work develops and extends Branciari’s theorem (Branciari in Int J Math Math Sci 29:531–536, 2002) to show common fixed point theorems for mappings meeting a specific integral condition. We address the best approximation method for exhibiting practical significance, emphasizing its relevance in both theoretical and practical situations as indicated by the authors (Manav Tatar and Agarwal in Mathematics 11(21):4455, 2023; Manav Tatar in Best approximation of Fixed Point results in generalized metric spaces, 2023). This study presents a concept that is consistent across several metric spaces.