[Russian Text Ignored.]

This paper will present some results on quasivariational inequality {C, E, P, Φ} in topological linear locally convex Hausdorff spaces. We shall be concerning with quasivariational inequalities defined on subsets which are convexe closed, or only closed. The compactness of the subset C is replaced by the condensing property of the mapping E. Further, we also obtain some results for quasivariational inequality {C, E, P, Φ}, where the multivalued mapping E maps C into 2^X and satisfies a general inward boundary condition.     

Russian Language Ignored

In this article the study of O?AN spaces is continued. In a space ??(??, ??) some topological properties are not disturbed if ?? and ?? are enlarged. The SORGENFREY plane can be identified with some O?AN space (Example 1). By use of systems of almost disjoint subsets some special topological rings on ??(X) can be constructed (Propositions 8 and 9). A metrisable or a locally compact O?AN ring has a simple structure (Propositions 10 and 11). If ??(??, ??) neither discrete nor compact, then the closedness of all simple maps is a very strong condition (Theorem 1). The space of VIETORIS is in general not σ-extremally disconnected space (Theorem 2). At the end of the article some generalizations are made and some bibliographical references are given.