AN INVESTIGATION OF FIXED-POINT THEORY AND ITS DIFFERENT OPERATIONS
S.Madhavi Latha
Mathematics
December 2023
The idea of fixed point is viewed as both perhaps of the best and critical procedure used in contemporary arithmetic. In addition to the fact that it is used consistently in unadulterated and applied math, yet it is likewise fabricating an extension among examination and geography and giving an especially prolific area of communication between the two fields of study. In addition to the fact that it is used consistently in unadulterated and applied science, yet it is used in the development of the extension too. In addition to the fact that it is involved consistently in unadulterated and applied science, yet building a scaffold among examination and topology is likewise utilized. In addition to the fact that it is involved consistently in unadulterated and applied science, yet it is likewise utilized in these specific situations. The theory of fixed point isn't only one of the most huge and strong weapons of present-day arithmetic, yet it is additionally perhaps of the most critical and useful asset in all of math. In particular, it is one of the most critical and strong weapons of contemporary arithmetic. In the latter half of the nineteenth century, a discipline of mathematics known as topology was responsible for the development of a theory known as the theory of fixed points. Additionally, it was during this time period that the principles of topology were developed. H. Poincare (1854-1912) was a well-known French mathematician who lived from 1854 to 1912. He is credited with being the developer of the fixed-point technique. Poincare's life span was from 1854 until 1912. Not only did he have important insights into its possible future value for resolving difficulties in mathematical analysis and celestial mechanics, but he also actively contributed in the building of the idea. In addition, he had significant bits of knowledge into its conceivable future significance for settling issues in mathematical examination and divine mechanics. He possessed strong insights regarding its probable future usefulness for the resolution of challenges in mathematical analysis and celestial physics.
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