International Conference «Mathematical and Informational Technologies, MIT-2011»
(IX Conference «Computational and Informational Technologies for Science,
Engineering and Education»)

Vrnjacka Banja, Serbia, August, 27–31, 2011

Budva, Montenegro, August, 31 – September, 5, 2011

Gajic L.  

Fixed point result in metric space with some convex structure

Fixed point theory is one of the most powerful tools in solving equations of different types: algebraic, differential, integral and so on. Using this method we can prove not only the existence of the solution but moreover, using some iterative process, Pikard, Ishikawa, Man, find the approximative solution. The first problem is to find approximate space and mappinig such that the fixed piont of this mapping is the solution of the equation. The choice of the space is also very important. In the classical analysis that was usually a complete metric space as the Banach space. Today, we are looking for the spaces which are some generalizatuions of the metric space, or more then metric, but less than the Banach space. In the lecture we are going to talk about some fixed point results in such types of spaces.

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