2024, Vol. 5, Issue 1, Part B
Common fixed point theorems with applications
Author(s): Dr. Md. Alam
Abstract: Fixed point theorems play a fundamental role in various branches of mathematics and have significant applications in real-world problem-solving. This paper explores common fixed point theorems and their diverse applications across different mathematical domains. Beginning with an overview of foundational concepts, including fixed point theorems and their significance, the paper delves into specific common fixed point theorems such as the Banach Fixed Point Theorem, the Kakutani Fixed Point Theorem, and the Browder Fixed Point Theorem. Each theorem is examined in terms of its assumptions, conditions, and implications, providing insights into their applicability in different contexts.Furthermore, this paper discusses applications of common fixed point theorems in areas such as optimization, economics, game theory, and computer science. These applications demonstrate the versatility and utility of fixed point theorems in modeling and solving real-world problems. Moreover, the paper highlights recent developments and extensions of common fixed point theorems, as well as open problems and avenues for future research in this field.By elucidating the theoretical underpinnings and practical applications of common fixed point theorems, this paper aims to contribute to a deeper understanding of their significance in mathematics and their relevance to diverse interdisciplinary fields.
Pages: 150-152 | Views: 369 | Downloads: 170
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How to cite this article:
Dr. Md. Alam. Common fixed point theorems with applications. Journal of Mathematical Problems, Equations and Statistics. 2024; 5(1): 150-152.
