S. M Mouavi Shams Abad Articles List

List of Articles S. M Mouavi Shams Abad

Open Access Article
- Abstract Page
- Full-Text
1 - On co-Farthest Points in Normed Linear Spaces
Hamid Mazaheri Tehrani S. M. Moosavi M. A Dehghan Z. Bizhanzadeh

In this paper, we consider the concepts co-farthest points innormed linear spaces. At first, we define farthest points, farthest orthogonalityin normed linear spaces. Then we define co-farthest points, co-remotal sets,co-uniquely sets and co-farthest maps. We shall p More

In this paper, we consider the concepts co-farthest points innormed linear spaces. At first, we define farthest points, farthest orthogonalityin normed linear spaces. Then we define co-farthest points, co-remotal sets,co-uniquely sets and co-farthest maps. We shall prove some theorems aboutco-farthest points, co-remotal sets. We obtain a necessary and coecient conditionsabout co-farthest points and dual space. Also, we show that everyco-remotal set is co-uniquely set. Manuscript profile
Open Access Article
- Abstract Page
- Full-Text
2 - Fuzzy Farthest Points and Fuzzy Best Approximation Points in Fuzzy Normed Spaces
Hamid Mazaheri Tehrani S. M Mouavi Shams Abad M. A Dehghan Z. Bizhanzadeh

In this paper we define fuzzy farthest points, fuzzy best approximation points and farthest orthogonality in fuzzy normed spaces and we will find some results. We prove some existence theorems, also we consider fuzzy Hilbert and show every nonempty closed and convex sub More

In this paper we define fuzzy farthest points, fuzzy best approximation points and farthest orthogonality in fuzzy normed spaces and we will find some results. We prove some existence theorems, also we consider fuzzy Hilbert and show every nonempty closed and convex subset of a fuzzy Hilbert space has an unique fuzzy best approximation.It is well know that the conception of fuzzy sets, firstly defined by Zadeh in 1965. Fuzzy set theory provides us with a framework which is wider than that of classical set theory. Various mathematical structures, whose features emphasize the effects of ordered structure, can be developed on the theory. The theory of fuzzy sets has become an area of active research for the last forty years. On the other hand, the notion of fuzzyness has a wide application in many areas of science and engineering, chaos control, nonlinear dynamical systems, etc. In physics, for example, the fuzzy structure of space time is followed by the fat that in strong quantum gravity regime space time points are determined in a fuzzy manner. Manuscript profile

Current Issue

Published Issues

Menu

Browse

List of Articles S. M Mouavi Shams Abad