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Olga Hadžić
Olga Hadžić (25 August 1946 – 23 January 2019) was a Serbian mathematician known for her work on fixed-point theorems. Early life and education Hadžić was born in Novi Sad, on 25 August 1946, the daughter of lawyer Lazar Hadžić and the granddaughter of writer and physician . She attended both the Jovan Jovanović Zmaj Gymnasium and a music school in Novi Sad. She earned a degree in mathematics at the University of Novi Sad in 1968, and continued there as an assistant, earning a master's degree through the Faculty of Natural Sciences And Mathematics at the University of Belgrade in 1970, and completing a doctorate at the University of Novi Sad in 1972. Her doctoral dissertation, ''Neki problemi diferencijalnog računa u lokalno konveksnim prostorima'' 'Some problems of differential calculus in locally convex spaces'' was supervised by Bogoljub Stanković. Later in life, she took up the study of tourism management and marketing, earning a master's degree in 2005 from the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fixed-point Theorem
In mathematics, a fixed-point theorem is a result saying that a function ''F'' will have at least one fixed point (a point ''x'' for which ''F''(''x'') = ''x''), under some conditions on ''F'' that can be stated in general terms. In mathematical analysis The Banach fixed-point theorem (1922) gives a general criterion guaranteeing that, if it is satisfied, the procedure of iterating a function yields a fixed point. By contrast, the Brouwer fixed-point theorem (1911) is a non- constructive result: it says that any continuous function from the closed unit ball in ''n''-dimensional Euclidean space to itself must have a fixed point, but it doesn't describe how to find the fixed point (see also Sperner's lemma). For example, the cosine function is continuous in 1, 1and maps it into 1, 1 and thus must have a fixed point. This is clear when examining a sketched graph of the cosine function; the fixed point occurs where the cosine curve ''y'' = cos(''x'') intersect ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |