{
  "id": "2505.00722",
  "version": "v2",
  "published": "2025-04-22T08:16:23.000Z",
  "updated": "2025-05-05T09:51:34.000Z",
  "title": "Generalized $θ$-Parametric Metric Spaces: Fixed Point Theorems and Applications to Fractional Economic Models",
  "authors": [
    "Abhishikta Das",
    "Hemanta Kalita",
    "Mohammad Sajid",
    "T. Bag"
  ],
  "comment": "23 pages",
  "categories": [
    "math.OC"
  ],
  "abstract": "The objective of this manuscript is to introduce and develop the concept of a generalized $\\theta$-parametric metric space-a novel extension that enriches the modern metric fixed point theory. We study of its fundamental properties, including convergence and Cauchy sequences that establishes a solid theoretical foundation. A significant highlight of our work is the formulation of Suzuki-type fixed point theorem within this framework which extends classical results in a meaningful way. To demonstrate the depth and applicability of our findings, we construct non-trivial examples that illustrate the behavior of key concepts. Moreover, as a practical application, we apply our main theorem to analyze an economic growth model, demonstrating its utility in solving fractional differential equations that arise in dynamic economic systems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2025-05-05T09:51:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34A08",
      "34K37",
      "54E35",
      "47H10"
    ],
    "keywords": [
      "fixed point theorem",
      "fractional economic models",
      "parametric metric spaces",
      "metric fixed point theory",
      "parametric metric space-a novel extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}