'Politehnica'' University of Bucharest. Scientific Bulletin. Series A. Applied Mathematics and Physics (Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys.) (20210101), 83, no.~4, 83-94. ISSN: 1223-7027 (print).eISSN: 2286-3672.
Subject
47 Operator theory -- 47H Nonlinear operators and their properties 47H10 Fixed-point theorems
47 Operator theory -- 47J Equations and inequalities involving nonlinear operators 47J40 Equations with hysteresis operators
Summary: ``Fixed point problems and pseudomonotone variational inequalities have been studied extensively. An additional assumption `weak sequential continuity' imposed on pseudomonotone operators is used. This paper devotes to construct an iterative algorithm for finding a common point of fixed point problems and pseudomonotone variational inequalities under a weaker assumption than weak sequential continuity imposed on pseudomonotone operators. Strong convergence result of the proposed algorithm is shown.''