@article{Abed_2020, title={Approximating Fixed Points of The General Asymptotic Set Valued Mappings}, volume={18}, url={https://rajpub.com/index.php/jam/article/view/8549}, DOI={10.24297/jam.v18i.8549}, abstractNote={<p>  The purpose of this paper is to introduce a new generalization of asymptotically non-expansive set-valued mapping  and to discuss its demi-closeness principle. Then, under certain conditions, we prove that the sequence defined by  <em>y<sub>n+1</sub> = t<sub>n</sub> z+ (1-t<sub>n</sub> )u<sub>n</sub> ,  u<sub>n</sub> in G<sup>n</sup>( y<sub>n</sub></em> ) converges strongly to some fixed point in reflexive Banach spaces.  As an application, existence theorem for an iterative differential equation as well as convergence theorems for a fixed point iterative method designed to approximate this solution is proved</p>}, journal={JOURNAL OF ADVANCES IN MATHEMATICS}, author={Abed, Salwa Salman}, year={2020}, month={Feb.}, pages={52–59} }