الفهرس 
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Abstract
This chapter is devoted to recall some notations and known results that will be needed in the sequel. We start in section 1.2 by setting basic notations and definitions that are used throughout the work. Measure of noncompactness of a subset of banach space, play an essential role in our discussion, will be introduced in section 1.3. In section 1.4, we state some fixed point threorems.
Definitions and notations: in this work E denotes an infinite dimensional real banach space with the norm and the zero element 0.