In the present paper, by virtue of new analysis technique, we will establish several strong convergence theorems for the modified Ishikawa and Mann iteration schemes with errors for a class of asymptotically demicontractive mappings in arbitrary real normed linear spaces. Our results extend, generalize and improve the corresponding results obtained by Igbokwe [1], Liu [2], Osilike [3] and others.

*Correspondence: [email protected] 3Faculty of Applied Sciences, University Politehnica of Bucharest, 313 Splaiul Independenţei, Bucharest, 060042, Romania Full list of author information is available at the end of the article Abstract Recently, Karapınar and Tas (Comput. Math. Appl. 61:3370-3380, 2011) extended the class of Suzuki-generalized nonexpansive mappings to the class of SKC mapping...

In this paper, the equivalence of the convergence among Mann-Ishikawa and Noor iterations is obtained for uniformly L-Lipschitzian mappings in real Banach spaces. Our results extend and improve the corresponding results in Chang [3] and Ofoedu [4]. Mathematics subject classification (2010): 47H10, 47H09, 46B20..

In this paper, we prove strong as well as ∆− convergence theorems in CAT(0) spaces for totally asymptotically nonexpansive nonself mappings under a recent iterative scheme essentially due to Agarwal et al. [3] which is relatively faster as well as independent to Ishikawa iterative scheme. Our results are improvements over several corresponding results contained in [1, 2, 14, 22, 30, 31, 33] and...

In this paper, we establish weak and strong convergence theorems for mean nonexpansive maps in Banach spaces under the Picard–Mann hybrid iteration process. We also construct an example of mappings show that it exceeds class mappings. To numerical accuracy our main outcome, process is more effective than all Picard, Mann, Ishikawa iterative processes.

INTRODUCTION Ishikawa and Jefferson are the two most commonly used systems used for the classification of cavernous sinus syndrome (CSS). However, relative utilities of these two classification systems have not been evaluated in detail in developing countries. In this study, we compared relative utilities of these two classification schemes in the evaluation of CSS. OBJECTIVE To compare the u...