The closedness of the set

In this paper, by combining the shrinking projection method with a modified inertial Siteration process, we introduce a new inertial hybrid iteration for two asymptotically Gnonexpansive mappings and a new inertial hybrid iteration for two G-nonexpansive mappings in Hilbert spaces with graphs. We establish a sufficient condition for the closedness and convexity of the set of fixed points of asymptotically G-nonexpansive mappings in Hilbert spaces with graphs.

13p caygaocaolon6 22-07-2020 13 2   Download

In this paper, we establish some existence theorems by using Kakutani-FanGlicksberg fixed-point theorem for generalized quasiequilibrium problems in real locally convex Hausdorff topological vector spaces. Moreover, we also discuss closeness of the solution sets of generalized quasiequilibrium problems. The results presented in the paper improve and extend the main results of Long et al in [3], Plubtieng - Sitthithakerngkietet in [5] and Yang-Pu in [6].

7p nguaconbaynhay 20-10-2019 11 1   Download

We introduce and study the notion of C–closed sets in L–fuzzy topological spaces. Then, C–convergence theory for nets and ideals is established in terms of C–closedness. Finally, we give a new concept of C–continuity on L–fuzzy topological space by means of L–fuzzy C–closedness and investigate some of its properties and its relationships with other L–fuzzy mappings introduced previously. Then we systematically study the characterizations of this notion with the aid of the C–convergence of L–fuzzy nets and L–fuzzy ideals.

17p tuongvidanh 06-01-2019 29 2   Download

In this paper, we establish some existence theorems for vector quasiequilibrium problems in real locally convex Hausdorff topological vector spaces by using Kakutani-Fan-Glicksberg fixedpoint theorem. Moreover, we also discuss the closedness of the solution sets for these problems. The results presented in the paper are new and improve some main results in the literature.

10p danhvi10 22-11-2018 27 0   Download

Consider the inverse eigenvalue problem of the Schr¨dinger operator deo fined on a finite interval. We give optimal and almost optimal conditions for a set of eigenvalues to determine the Schr¨dinger operator. These conditions are o simple closedness properties of the exponential system corresponding to the known eigenvalues. The statements contain nearly all former results of this topic. We give also conditions for recovering the Weyl-Titchmarsh m-function from its values m(λn ).

35p noel_noel 17-01-2013 43 6   Download