Work

A new perspective on order-theoretic contractive mappings with applications in financial markets and economic growth via fractional differential equations

Year: 2025

Type: article

Abstract: In this paper, we employ some weaker forms like $\mathcal{R}$ -completeness, $\mathcal{P}$ -closedness, and $\mathcal{R}$ -continuity while achieving the same results as presented by different authors. Furthermore, we have introduced and analyzed rational-type $\mathcal{R}$ -contractions, establishing their corresponding fixed point results within the proposed framework. To validate our findings, we present examples in which our results hold, whereas the corresponding results from existing literature do not, thereby illustrating the robustness and wider applicability of our approach. Additionally, the proposed framework ensures stability in both market equilibrium and economic growth through fractional differential equations, emphasizing its relevance to production-consumption models.

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02166-9

Authors: Mati ur Rahman, Muhammad Asif, Nehad Ali Shah, Muhammad Din, Rabia Anwar

Institutions: Imam Mohammad ibn Saud Islamic University, Sejong University, Government College University, Lahore

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

Funder: Al-Imam Muhammad Ibn Saud Islamic University