Weak convergence theorems for two asymptotically quasi-nonexpansive non-self mappings in uniformly convex Banach spaces
Author(s) -
G. S. Saluja
Publication year - 2014
Publication title -
the journal of nonlinear sciences and applications
Language(s) - English
Resource type - Journals
eISSN - 2008-1901
pISSN - 2008-1898
DOI - 10.22436/jnsa.007.02.08
Subject(s) - mathematics , banach space , regular polygon , uniformly convex space , pure mathematics , convergence (economics) , mathematical analysis , eberlein–šmulian theorem , lp space , geometry , economics , economic growth
The purpose of this paper is to establish some weak convergence theorems of modified two-step iteration process with errors for two asymptotically quasi-nonexpansive non-self mappings in the setting of real uniformly convex Banach spaces if E satisfies Opial’s condition or the dual E∗ of E has the Kedec-Klee property. Our results extend and improve some known corresponding results from the existing literature. c ©2014 All rights reserved.
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