Thai Journal of Mathematics

In this paper, by combining two modified Ishikawa iteration processes and two modified $S$-iteration processes with the shrinking projection method, we propose four new hybrid iteration processes for two asymptotically $G$-nonexpansive mappings. We also prove some strong convergence theorems for common fixed points of  two asymptotically $G$-nonexpansive mappings in Hilbert spaces with graphs. These  theorems  are the extension  and  improvement of  certain main results  in [H.A. Hammad, W. Cholamjiak, D. Yambangwai, and H. Dutta, A modified shrinking projection methods for numerical reckoning fixed points of $G$-nonexpansive mappings in Hilbert spaces with graphs, Miskolc Math. Notes 20(2) (2019) 941-- 956].  In addition, we provide a  numerical example for supporting obtained results.

Trong bài báo này, chúng tôi chứng minh một định lý điểm cố định cho một lớp các phép ánh xạ trên không gian S-metric. Là ứng dụng, chúng tôi thu được các định lý điểm cố định trong [1] và [2]. Ngoài ra, có các ví dụ được đưa ra để phân tích các kết quả.

In this paper, we consider strong forms of the primal and dual vector equilibrium problems in Hausdorff topological vector spaces. Under suitable assumptions, some continuity properties of solution mappings to such problems are established. Themainsresultsimproverecentexistingonesintheliterature. Some examplesareprovidedtoillustrateourresults. Applicationstovectoroptimization problem and vector variational inequalities are also discussed.

This paper is about modeling of coarse data in statistics using set-valued random elements. We consider also the case of fuzzy set-valued random elements for modeling of perception-based information. These are typically random elements with values in some functional spaces. Unlike the standard approach in stochastic processes, we emphasize the lattice approach leading to compact, separable metric spaces.