In this paper, we introduce a general hybrid iterative method to find an infinite family of strict pseudo-contractions in a q-uniformly smooth and strictly convex Banach space. Moreover, we show that the sequence defined by the iterative method converges strongly to a common element of the set of fixed points, which is the unique solution of the variational inequality $\left\langle(\lambda \varphi-\nu \mathcal{F}) \tilde{z}, j_q(z-\tilde{z})\right\rangle \leq 0$, for $z \in \bigcap_{i=1}^{\infty} \Gamma\left(S_i\right)$. The results introduced in our work extend to some corresponding theorems.
Meng WEN
,
Haiyang LI
,
Changsong HU
,
Jigen PENG
. ITERATIVE METHODS FOR OBTAINING AN INFINITE FAMILY OF STRICT PSEUDO-CONTRACTIONS IN BANACH SPACES[J]. Acta mathematica scientia, Series B, 2022
, 42(5)
: 1765
-1778
.
DOI: 10.1007/s10473-022-0504-2
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