We obtain mainly by using Jensen's inequality for convex functions an integral inequality, which contains as a special case Shun's generalization of Hardy's inequality.
Abstract:In this study, we establish that both the Mann and Ishikawa iteration processes are T-stable for the mappings T satisfying a more general contractive definition than that of Osilike [1] . The results obtained generalize some of the recent results of Osilike [1] which are themselves generalizations and extensions of some of the results of Harder and Hicks [2] and Rhoades [3,4] .
Abstract:In this study, we establish some stability results for the Krasnoselskij and the Ishikawa iteration procedures. We employ the same method as in Berinde [1] , but using a more general contractive definition than those of Berinde [1] , Rhoades [2] , Harder and Hicks [3] and Osilike [4,5] .
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