Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore, Pakistan.
Mathematics Department, Al-Qunfudah University College, Umm Al-Qura University, Mecca, Saudi Arabia.
PLoS One. 2024 Aug 28;19(8):e0303141. doi: 10.1371/journal.pone.0303141. eCollection 2024.
This manuscript contains several new spaces as the generalizations of fuzzy triple controlled metric space, fuzzy controlled hexagonal metric space, fuzzy pentagonal controlled metric space and intuitionistic fuzzy double controlled metric space. We prove the Banach fixed point theorem in the context of intuitionistic fuzzy pentagonal controlled metric space, which generalizes the previous ones in the existing literature. Further, we provide several non-trivial examples to support the main results. The capacity of intuitionistic fuzzy pentagonal controlled metric spaces to model hesitation, capture dual information, handle imperfect information, and provide a more nuanced representation of uncertainty makes them important in dynamic market equilibrium. In the context of changing market dynamics, these aspects contribute to a more realistic and flexible modelling approach. We present an application to dynamic market equilibrium and solve a boundary value problem for a satellite web coupling.
本文稿包含了几个新的空间概念，它们是模糊三元控制度量空间、模糊六边形控制度量空间、模糊五边形控制度量空间和直觉模糊双控制度量空间的推广。我们在直觉模糊五边形控制度量空间的背景下证明了巴拿赫不动点定理，这推广了现有文献中的先前结果。此外，我们提供了几个非平凡的例子来支持主要结果。直觉模糊五边形控制度量空间在犹豫、捕捉双重信息、处理不完美信息以及提供不确定性的更细致表示方面的能力，使它们在动态市场均衡中具有重要意义。在市场动态变化的背景下，这些方面有助于实现更现实和灵活的建模方法。我们将介绍一个应用于动态市场均衡的案例，并解决了卫星网络耦合的边值问题。
