Scholarlink

<p>One of the active researchs in metric fixed point theory involves the development of more unifying Lipstchitz-type inequalities so as to fine-tune their applications in various areas of nonlinear functional equations and related domains. In this direction, the goal of this paper is to offer a new hybrid contraction that is a combination of Meir-Keeler and Zamfirescu contractions in the structure of a complete metric space. The existence and uniqueness conditions of a fixed point of such contractions are examined. Mathematical economics is an abstract and applicable science in which economic objects, processes, and phenomena are modeled using mathematically formulated functional equations, either as a differential or an integral equation. In this direction, we study a class of integral equations that can be considered as a form of economic model and apply one of our obtained results to develop new solvability conditions for a unique solution of the integral equation. Additionally, nontrivial examples are formulated to support our proposed 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

Fixed Points of New Hybrid Contractions with Applications to Nonlinear Economic Models

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年3月3日

查看全文
  • Mohammed Shehu Shagari,
  • Emmanuel Chukwuebuka,
  • Usamot Idayat Foluke,
  • Salah H. Alshabhi,
  • Hala S. Mahgoub,
  • Sakeena E. M. Hamed,
  • Mustafa M. Mohammed,
  • Awad A. Bakery

摘要

One of the active researchs in metric fixed point theory involves the development of more unifying Lipstchitz-type inequalities so as to fine-tune their applications in various areas of nonlinear functional equations and related domains. In this direction, the goal of this paper is to offer a new hybrid contraction that is a combination of Meir-Keeler and Zamfirescu contractions in the structure of a complete metric space. The existence and uniqueness conditions of a fixed point of such contractions are examined. Mathematical economics is an abstract and applicable science in which economic objects, processes, and phenomena are modeled using mathematically formulated functional equations, either as a differential or an integral equation. In this direction, we study a class of integral equations that can be considered as a form of economic model and apply one of our obtained results to develop new solvability conditions for a unique solution of the integral equation. Additionally, nontrivial examples are formulated to support our proposed results.