TY - JOUR
AU1 - Zegeye, Habtu
AU2 - Tufa, Abebe
AB - In this paper, we define a Halpern–Ishikawa type iterative method for approximating a fixed point of a Lipschitz pseudocontractive non-self mapping T in a real Hilbert space settings and prove strong convergence result of the iterative method to a fixed point of T under some mild conditions. We give a numerical example to support our results. Our results improve and generalize most of the results that have been proved for this important class of nonlinear mappings.
TI - Halpern–Ishikawa type iterative method for approximating fixed points of non-self pseudocontractive mappings
JF - Fixed Point Theory and Applications
DO - 10.1186/s13663-018-0640-5
DA - 2018-06-04
UR - https://www.deepdyve.com/lp/springer-journals/halpern-ishikawa-type-iterative-method-for-approximating-fixed-points-lapDIC9VAh
SP - 1
EP - 14
VL - 2018
IS - 1
DP - DeepDyve