TY - JOUR
T1 - A common solution of f-fixed point and variational inequality problems in Banach spaces
AU - Zegeye, Habtu
AU - Boikanyo, Oganeditse A.
N1 - Publisher Copyright:
© 2021 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2021/9/26
Y1 - 2021/9/26
N2 - In this paper, we construct a Halpern-type subgradient extragradient iterative algorithm which converges strongly to a common point of the f-fixed point set of a continuous f-pseudocontractive mapping and the solutions set of a variational inequality problem for Lipschitz monotone mapping in reflexive real Banach spaces. In addition, a numerical example is given to demonstrate the behaviour of the convergence of the algorithm. Our results improve, generalize and unify some related recent results in the literature.
AB - In this paper, we construct a Halpern-type subgradient extragradient iterative algorithm which converges strongly to a common point of the f-fixed point set of a continuous f-pseudocontractive mapping and the solutions set of a variational inequality problem for Lipschitz monotone mapping in reflexive real Banach spaces. In addition, a numerical example is given to demonstrate the behaviour of the convergence of the algorithm. Our results improve, generalize and unify some related recent results in the literature.
UR - http://www.scopus.com/inward/record.url?scp=85115712763&partnerID=8YFLogxK
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U2 - 10.1080/02331934.2021.1982939
DO - 10.1080/02331934.2021.1982939
M3 - Article
AN - SCOPUS:85115712763
SN - 0233-1934
JO - Optimization
JF - Optimization
ER -