ON NEW ITERATION FOR SET CONTRACTION MAPPINGS AND EXISTENCE RESULTS FOR POWER SET CONTRACTIONS MAPPINGS
Nour El Houda Bouzara, Vatan Karakaya · International Journal of Pure and Apllied Mathematics · 2016
In this paper, we present a new iteration for set contraction mappings in a Banach space.In further, we introduce the concept of set stability for these class of mappings.Finally, we present some results on the existence of fixed points for power set contraction mappings, these results include in special case many results existing in literature like Darbo and generalized Darbo fixed point theorems.