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<p>The main focus of this article is to introduce a class of mappings that do not need to be continuous, specifically generalized Kannan type enriched <i>F</i>-contractions in normed spaces. The article presents several results related to fixed point and common fixed point theorems for this class of mappings, along with supporting examples. These examples demonstrate that this mapping conceptually expands upon Kannan type contractive mappings and generalized Kannan type <i>F</i>-contractions. Additionally, the article illustrates an application of these mappings in establishing the existence of solutions for Volterra integral equations together with the solution of a system of Volterra integral equations.</p>

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Some fixed point theorems for a class of generalized Kannan type enriched F-contractions with some of its applications

  • 期刊论文

  • 发表日期：

    2025年12月9日

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  • Ankit Gupta,
  • Mantu Saha,
  • Zoran D. Mitrović

摘要

The main focus of this article is to introduce a class of mappings that do not need to be continuous, specifically generalized Kannan type enriched F-contractions in normed spaces. The article presents several results related to fixed point and common fixed point theorems for this class of mappings, along with supporting examples. These examples demonstrate that this mapping conceptually expands upon Kannan type contractive mappings and generalized Kannan type F-contractions. Additionally, the article illustrates an application of these mappings in establishing the existence of solutions for Volterra integral equations together with the solution of a system of Volterra integral equations.