This paper extends and improves the results of X.–L. Qin
and Y.–F. Su
[Nonlinear Anal., Theory Methods Appl. 67, No. 6 (A), 1958–1965 (2007; Zbl 1124.47046
)]. The extension and improvement are in two notable directions. (i) The authors employ the monotone CQ method to modify the CQ method of Qin and Su. (ii) The authors relax the restriction on
from uniformly continuous to continuous. Their monotone CQ method does not require the Kadec–Klee property, the demiclosedness principle, Opial’s condition, or other weak topological technologies.