Set Valued and Generalized Contraction Mappings in Different Spaces

Set Valued and Generalized Contraction Mappings in Different Spaces

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Functional analysis is an abstract branch of Mathematics that originated from classical analysis. Fixed point theory is one of the important topics of functional analysis. It is a connotation of analysis, topology and geometry. The theory of fixed points has been exposed as a very powerful and important tool in the study of nonlinear phenomena. It has numerous applications in almost all areas of mathematical sciences, for example to prove the existence of solutions of ordinary differential equations, partial differential equations, integral equations, system of linear equations, closed orbit o...