In this paper we study the concept of Fuzzy-anti-n-normed linear operator as a generalization of Fuzzy-anti-2normed linear operator. Fuzzy-anti-n-continuous linear operator and three types (strongly, weakly, and sequentially) of Fuzzy-anti-n-continuous linear operators are defined and relation between strongly, weakly and sequentially Fuzzy-anti-n-continuous linear operator is developed. Also s...

In this paper, we present a Tseng-type self-adaptive algorithm for solving variational inequality and fixed point problem involving pseudomonotone pseudocontractive operators in Hilbert spaces. A weak convergent result such is proved under weaker assumption than sequentially weakly continuous imposed on the operator. Some corollaries are also included.

In this paper, we establish some new critical fixed point theorems for the sum $AB+C$ in a Banach algebra relative to the weak topology, where $frac{I-C}{A}$ allows to be noninvertible. In addition, a special class of Banach algebras will be considered.

In the present paper we establish a fixed point result of Krasnoselskii type for the sum A+B, where A and B are sequentially weakly continuous, and B is a nonexpansive mapping. As an application, we study the existence of solutions for an nonlinear integral equation in Banach spaces. In the last section we develop a sequentially weak continuity result for a class of operators acting on vector-v...