BEST PROXIMITY FOR TWO PAIRS OF MAPPINGS IN MULTIPLICATIVE METRIC SPACE | ||||
| Electronic Journal of Mathematical Analysis and Applications | ||||
| Volume 12, Issue 2, 2024, Page 1-11 PDF (222.44 K) | ||||
| Document Type: Regular research papers | ||||
| DOI: 10.21608/ejmaa.2024.272451.1136 | ||||
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| Author | ||||
Thokchom C Chhatrajit 
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| Department of Mathematics, Manipur Technical University, Goverment Polytechnic Takyelpat Imphal, Manipur, India-795004 | ||||
| Abstract | ||||
| One of the research gaps in the study of best proximity for two pairs of mappings in multiplicative metric spaces may lie in the exploration of its applications in specific fields such as computer science or biology, where understanding the behavior of mappings is critical for modeling and analysis. Emphasizing the significance of proximity in multiplicative metric spaces, the investigation seeks to unveil insights into the behavior and interaction of mappings, thereby offering valuable contributions to the broader field of mathematical analysis. Through rigorous theoretical analysis and computational experimentation, the study endeavors to provide actionable insights and methodologies for optimizing proximity in multiplicative metric spaces, thereby advancing the theoretical foundations and practical applications within this specialized domain. Many issues in many fields, including differential equations, optimisation, and computer science, may be modelled by fixed-point equations of the type f x = x. In this work, two pairs of proximally commuting mappings in a complete multiplicative metric space are given the idea of optimal proximity. An example is also given to support the results. | ||||
| Keywords | ||||
| Multiplicative Metric Space; Best Proximity Point; Proximal Contraction; and Fixed-Point Theorems | ||||
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