The fixed point theorems and their applications

In a vast range of mathematical problems, the existence of an equivalent solution and the existence of a fixed point are suitable for a mapping, that is, the fixed point in different disciplines of mathematics and other sciences is more important. The result that a fixed point presents under the mapping solutions and theory, is a beautiful cone of analysis (pure and applied), topology and geometry. In the last 50 years, the fixed point theory has almost been recognized as one of the most powerful tools in the study of nonlinear phenomena, especially fixed point techniques and its various applications in different disciplines such as chemistry, biology, economics, engineering, Game theory and physics. It should be noted that this article is a review article and its method is also a library research method based on individual studies.

کلیدواژه ها:

fixed point ، application ، linearization