TY - JOUR
T1 - Solving nonlinear ϕ-strongly accretive operator equations by a one-step-two-mappings iterative scheme
AU - Khan, Safeer Hussain
AU - Gunduz, Birol
AU - Akbulut, Sezgin
PY - 2015/7/17
Y1 - 2015/7/17
N2 - A solution of nonlinear ϕ-strongly accretive operator equations is found in this paper by using a one-step- two-mappings iterative scheme in arbitrary real Banach spaces. We give an example to validate our main theorem. Our results are different from those of Khan et. al., [S. H. Khan, A. Rafiq, N. Hussain, Fixed Point Theory Appl., 2012 (2012), 10 pages] in view of different and independent iterative schemes in the sense that none reduces to the other but extend and improve the results of Ding [X. P. Ding, Computers Math. Appl., 33 (1997), 7582] and many others.
AB - A solution of nonlinear ϕ-strongly accretive operator equations is found in this paper by using a one-step- two-mappings iterative scheme in arbitrary real Banach spaces. We give an example to validate our main theorem. Our results are different from those of Khan et. al., [S. H. Khan, A. Rafiq, N. Hussain, Fixed Point Theory Appl., 2012 (2012), 10 pages] in view of different and independent iterative schemes in the sense that none reduces to the other but extend and improve the results of Ding [X. P. Ding, Computers Math. Appl., 33 (1997), 7582] and many others.
KW - One-step-two-mappings iterative scheme
KW - Operator
KW - ϕ-hemicontractive
KW - ϕ-strongly accretive operator
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U2 - 10.22436/jnsa.008.05.33
DO - 10.22436/jnsa.008.05.33
M3 - Article
SN - 2008-1898
VL - 8
SP - 837
EP - 846
JO - Journal of Nonlinear Science and Applications
JF - Journal of Nonlinear Science and Applications
IS - 5
ER -