Open AccessOn the Convergence of Mann and Ishikawa Iterative Processes for Asymptoticallyϕ
Author(s) -
Xuewu Wang,
Giuseppe Marino,
Luigi Muglia
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/850104
Subject(s) - banach space , equivalence (formal languages) , convergence (economics) , mathematics , algorithm , iterative and incremental development , discrete mathematics , computer science , software engineering , economics , economic growth
We prove the equivalence and the strong convergence of (1) the modified Mann iterative process and (2) the modified Ishikawa iterative process for asymptotically ϕ-strongly pseudocontractive mappings in a uniformly smooth Banach space
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom