A note on multivalued Wλ0Wλ0 pseudomonotone map

This paper is concerned with a class of Wλ0Wλ0 pseudomonotone maps given by Kasyanov et al. (2010, 2006) [2] and [15]. We indicate that its main character of passing to a subsequence in classical definition is meaningless. Then, we show that Wλ0Wλ0 pseudomonotone map is the same as a class of known pseudomonotone maps (Theorem 2) rather than its generalization (cf. Kasyanov et al. (2010) [2] lines 2–3, p. 1260; lines 7–9, p. 1261). Besides, the relations between Wλ0Wλ0 pseudomonotone map and L-generalized pseudomonotone map are discussed.