TY - JOUR
T1 - Strong convergence theorem for approximating zero of accretive operators and application to Hammerstein equation
AU - Oyewole, Olawale Kazeem
AU - Aibinu, Matthew Olajiire
AU - Jolaoso, Lateef Olakunle
AU - Mewomo, Oluwatosin Temitope
N1 - Publisher Copyright:
© 2023,Nonlinear Studies.All Rights Reserved.
PY - 2023
Y1 - 2023
N2 - Let C be a nonempty, closed and convex subset of a real q-uniformly smooth Banach space X which admits a weakly sequentially continuous generalized duality mapping jq. We study the approximation of the zero of a strongly accretive operator A: X →X which is also the fixed point of a k strictly pseudo-contractive self mapping on C. We introduce a new algorithm and prove its strong convergence to the zero of A and fixed point of T. The obtained result is applied to the solution of nonlinear integral equation of the Hammerstein type. Our result extends some existing results in literature.
AB - Let C be a nonempty, closed and convex subset of a real q-uniformly smooth Banach space X which admits a weakly sequentially continuous generalized duality mapping jq. We study the approximation of the zero of a strongly accretive operator A: X →X which is also the fixed point of a k strictly pseudo-contractive self mapping on C. We introduce a new algorithm and prove its strong convergence to the zero of A and fixed point of T. The obtained result is applied to the solution of nonlinear integral equation of the Hammerstein type. Our result extends some existing results in literature.
UR - http://www.scopus.com/inward/record.url?scp=85150239458&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:85150239458
SN - 1359-8678
VL - 30
SP - 23
EP - 41
JO - Nonlinear Studies
JF - Nonlinear Studies
IS - 1
ER -