Scholarlink

<p>In this paper, we first present some minimization theorems for a new class of nonnegative functionals defined on <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$ (q_{1},q_{2}) $</EquationSource> </InlineEquation>-quasimetric spaces.We then apply these results to derive some new coincidence point and fixed point results for mappings in <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$ (q_{1},q_{2}) $</EquationSource> </InlineEquation>-quasimetric spaces.In particular, we&#xa0;study sufficient conditions for the existence of coincidence points of a filling mapping and a Lipschitz mapping.Our results improve and generalize several results in the literature including those inFeng and Liu [J.&#xa0;Math.&#xa0;Anal.&#xa0;Appl., vol.&#xa0;317, no.&#xa0;1, 103–112 (2006)],Arutyunov [Dokl.&#xa0;Math., vol.&#xa0;76, no.&#xa0;2, 665–668 (2007)],Arutyunov and Gel’man [Comput.&#xa0;Math.&#xa0;Math.&#xa0;Phys., vol.&#xa0;49, no. 7, 1111–1118 (2009)],Fomenko [Topol.&#xa0;Appl., vol.&#xa0;157, no.&#xa0;4, 760–773 (2010); Moscow Univ.&#xa0;Math.&#xa0;Bull., vol.&#xa0;74, no.&#xa0;6, 227–234 (2019)],and Nguyen and Pasynkov [Topol.&#xa0;Appl., vol.&#xa0;201, 57–77 (2016)].Examples are also given to illustrate our results.</p>

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

Minimization Theorems in \( (q_{1},q_{2}) \)-Quasimetric Spaces with Applications

  • 期刊论文

  • 发表日期：

    2026年1月29日

查看全文
  • L. V. Nguyen

摘要

In this paper, we first present some minimization theorems for a new class of nonnegative functionals defined on $ (q_{1},q_{2}) $ -quasimetric spaces.We then apply these results to derive some new coincidence point and fixed point results for mappings in $ (q_{1},q_{2}) $ -quasimetric spaces.In particular, we study sufficient conditions for the existence of coincidence points of a filling mapping and a Lipschitz mapping.Our results improve and generalize several results in the literature including those inFeng and Liu [J. Math. Anal. Appl., vol. 317, no. 1, 103–112 (2006)],Arutyunov [Dokl. Math., vol. 76, no. 2, 665–668 (2007)],Arutyunov and Gel’man [Comput. Math. Math. Phys., vol. 49, no. 7, 1111–1118 (2009)],Fomenko [Topol. Appl., vol. 157, no. 4, 760–773 (2010); Moscow Univ. Math. Bull., vol. 74, no. 6, 227–234 (2019)],and Nguyen and Pasynkov [Topol. Appl., vol. 201, 57–77 (2016)].Examples are also given to illustrate our results.