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In this article, we first consider weak convergence theorems of implicit iterative processes for two nonexpansive mappings and a mapping which satisfies condition (C).
Let H be a real Hilbert space, a nonempty closed convex subset of satisfying, and continuous hemicontractive mapping which satisfies condition (A).
If an even mapping which satisfies (2.1).
Let be another additive mapping, which satisfies the required inequality.
Then there exists a unique additive mapping which satisfies (1.3).
Suppose that there exists another quadratic mapping which satisfies (1.6) and (3.7).
Suppose that there exists a quartic mapping which satisfies (1.3) and (3.6).
Then there exists a unique quartic mapping which satisfies (1.4) and the inequality (315).
Next we discuss the behavior of mapping which satisfies the property (S).
Suppose that there exists another cubic mapping which satisfies (1.3) and (3.39).
We assume that is a symmetric tensor-valued continuous mapping which satisfies the following.
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