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<p>In this paper, we introduce and investigate the notion of an almost generalized <i>F</i>-contraction on the orthogonal sets. We obtain fixed point results on the orthogonal metric space using this notion. Our findings extend and unify several recent results. We also present an application to the second-order differential equation to study the motion of a spring.</p>

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FIXED POINT RESULTS ON ORTHOGONAL METRIC SPACES

  • 期刊论文

  • 发表日期：

    2026年3月9日

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  • Vivek Mainali,
  • Bharti Joshi,
  • Mahesh C. Joshi

摘要

In this paper, we introduce and investigate the notion of an almost generalized F-contraction on the orthogonal sets. We obtain fixed point results on the orthogonal metric space using this notion. Our findings extend and unify several recent results. We also present an application to the second-order differential equation to study the motion of a spring.