On The Convergence Of Modified Noor Iteration For Nearly Lipschitzian Maps In Real Banach Spaces

author

A. Mogbademu Department of Mathematics, University of Lagos, Akoka- Nigeria

Abstract:

In this paper, we obtained the convergence of modified Noor iterative scheme for nearly Lipschitzian maps in real Banach spaces. Our results contribute to the literature in this area of re- search.

Upgrade to premium to download articles

Already have an account?login

similar resources

on the convergence of modified noor iteration for nearly lipschitzian maps in real banach spaces

in this paper, we obtained the convergence of modified noor iterative scheme for nearly lipschitzian maps in real banach spaces. our results contribute to the literature in this area of re- search.

full text

Strong convergence of modified noor iteration in CAT(0) spaces

We prove a strong convergence theorem for the modified Noor iterations‎ ‎in the framework of CAT(0) spaces‎. ‎Our results extend and improve the corresponding results of‎ ‎X‎. ‎Qin‎, ‎Y‎. ‎Su and M‎. ‎Shang‎, ‎T‎. ‎H‎. ‎Kim and H‎. ‎K‎. ‎Xu and S‎. ‎Saejung‎ ‎and some others‎.

full text

strong convergence of modified noor iteration in cat(0) spaces

we prove a strong convergence theorem for the modified noor iterations‎ ‎in the framework of cat(0) spaces‎. ‎our results extend and improve the corresponding results of‎ ‎x‎. ‎qin‎, ‎y‎. ‎su and m‎. ‎shang‎, ‎t‎. ‎h‎. ‎kim and h‎. ‎k‎. ‎xu and s‎. ‎saejung‎ ‎and some others‎.

full text

Fixed points of demicontinuous nearly Lipschitzian mappings in Banach spaces

We introduce the classes of nearly contraction mappings and nearly asymptotically nonexpansive mappings. The class of nearly contraction mappings includes the class of contraction mappings, but the class of nearly asymptotically nonexpansive mappings contains the class of asymptotically nonexpansive mappings and is contained in the class of mappings of asymptotically nonexpansive type. We study...

full text

The Equivalence among the Modified Mann–ishikawa and Noor Iterations for Uniformly L–lipschitzian Mappings in Banach Spaces

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..

full text

Modified Noor Iterations with Errors for Generalized Strongly Φ-Pseudocontractive Maps in Banach Spaces

In this paper, we prove some strong convergence results for a family of three generalized strongly Φ-pseudocontractive (accretive) mappings in Banach spaces. Our results are generalizations and improvements of convergence results obtained by several authors in literature. In particular, they generalize and improve the results of Olaleru and Mogbademu [17], Xue and Fan [22] which is in turn a co...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}

Journal title

Caspian Journal of Mathematical Sciences

volume 2 issue 2

pages 95- 104

publication date 2014-12-31

unfollow

{@ msg @}

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

Fixed point iteration schemes Uniformly L-Lipschitzian asymptotically pseudocontractive mappings Banach spaces, nearly uniformly L−Lipschitzian mappings

Hosted on Doprax cloud platform doprax.com