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báo cáo hóa học:" Research Article Browder’s Fixed Point Theorem and Some Interesting Results in Intuitionistic Fuzzy Normed Spaces"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Browder’s Fixed Point Theorem and Some Interesting Results in Intuitionistic Fuzzy Normed Spaces | Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2010 Article ID 642303 11 pages doi 10.1155 2010 642303 Research Article Browder s Fixed Point Theorem and Some Interesting Results in Intuitionistic Fuzzy Normed Spaces M. Cancan Department of Mathematics Yuzuncu Yil University 65080 Van Turkey Correspondence should be addressed to M. Cancan mcencen@yahoo.com Received 18 August 2010 Accepted 11 November 2010 Academic Editor D. R. Sahu Copyright 2010 M. Cancan. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. We define and study Browder s fixed point theorem and relation between an intuitionistic fuzzy convex normed space and a strong intuitionistic fuzzy uniformly convex normed space. Also we give an example to show that uniformly convex normed space does not imply strongly intuitionistic fuzzy uniformly convex. 1. Introduction In recent years the fuzzy theory has emerged as the most active area of research in many branches of mathematics and engineering. Fuzzy set theory is a powerful hand set for modelling uncertainty and vagueness in various problems arising the field of science and engineering. Now a large number of research papers appear by using the concept of fuzzy set numbers and fuzzification of many classical theories has also been made. It has also very useful applications in various fields for example nonlinear operator 1 stability problem 2 3 and so forth. The fuzzy topology 4-8 proves to be a very useful tool to deal with such situations where the use of classical theories breaks down. One of the most important problems in fuzzy topology is to obtain an appropriate concept of an intuitionistic fuzzy metric space and an intuitionistic fuzzy normed space. These problems have been investigated by Park 9 and Saadati and Park 10 respectively and they introduced and studied