Santina Dania, Mior Othman Wan Ainun, Wong Kok Bin, Mlaiki Nabil
Department of Mathematics and Sciences, Prince Sultan University Riyadh, 11586, Saudi Arabia.
Institute of Mathematical Sciences, Faculty of Science, University Malaya, Kuala Lumpur, Malaysia.
Heliyon. 2024 Oct 18;10(20):e39525. doi: 10.1016/j.heliyon.2024.e39525. eCollection 2024 Oct 30.
This study involves the generalization of partial metric spaces and strong controlled metric type spaces through the introduction of the notion of strong controlled partial metric type spaces. This research pursues a dual objective: firstly, to scrutinize fixed points related to contractions of the Kannan type within the framework of strong controlled partial metric type spaces, encompassing both linear and nonlinear contractions; secondly, to furnish illustrative examples and applications that underscore the consequential implications of our theoretical contributions.
本研究通过引入强控制部分度量型空间的概念，对部分度量空间和强控制度量型空间进行了推广。本研究追求双重目标：其一，在强控制部分度量型空间的框架内，审视与卡南型收缩相关的不动点，包括线性和非线性收缩；其二，提供说明性示例和应用，以强调我们理论贡献的重要影响。
