@article{Hussein_2020, title={New Conditions of The Existence of Fixed Point in Δ- Ordered Δ Banach Algebra}, volume={18}, url={https://rajpub.com/index.php/jam/article/view/8370}, DOI={10.24297/jam.v18i.8370}, abstractNote={<p>The main idea is to construct a new algebra and find new necessary and sufficient conditions equivalent to the existence of a fixed point. In this work, an algebra is constructed, called Δ - ordered Banach algebra, we define convergent in this new space, Topological structure on  Δ ordered Banach Algebra and prove this as Hausdorff space. Also, we define new conditions as Δ- <em>lipshtiz, Δ- contraction  contraction</em> , in this algebra construct, we prove this condition is the existence and uniqueness results of the fixed point. In this paper,  we prove a common fixed point if the self-functions satisfy the new condition which is called <em>Ф-contraction.</em></p> <p> </p>}, journal={JOURNAL OF ADVANCES IN MATHEMATICS}, author={Hussein, Boushra}, year={2020}, month={Feb.}, pages={60–71} }