全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

F*空间中模糊映射的非线性方程解的存在性

, PP. 244-248

Keywords: F*空间,φ-,收缩偶,非线性方程组,模糊映射

Full-Text   Cite this paper   Add to My Lib

Abstract:

在F*空间中引入φ-收缩偶的概念,研究F*空间中具有φ-收缩偶的非线性算子方程组解的存在性与唯一性,得到F*空间中模糊映射的非线性方程迭代收敛解的存在性,统一并推广了文献相应的结果.

References

[1]  Altman M. Contractors and Contractor Directions, Theory and Applications[M]. New York:Marcel Dekker,1977.
[2]  Lee A C, Padgett W J. Solutions of random operator equations by random step-contractors[J]. Nonlinear Anal:TMA,1980,4:145-151.
[3]  Chang S S. Probabilistic contractor couple and solutions for a system of nonlinear equations in non-Archimedean Menger probabilistic normed spaces[J]. Applied Mathematics and Mechanics,1991,12(11):965-971.
[4]  Fang J X. On nonlinear equations for fuzzy mappings in probabilistic normed spaces[J]. Fuzzy Sets and Systems,2002,131:357-364.
[5]  Fang J X, Song G A. φ-contractor and the solutions for nonlinear operator equations in fuzzy normed spaces[J]. Fuzzy Sets and Systems,2001,121:267-273.
[6]  Huang H J, Lan H Y. A couple of nonlinear equations with fuzzy mappings in fuzzy normed spaces[J]. Fuzzy Sets and Systems,2005,152:209-222.
[7]  Mihect D. On set-valued nonlinear equations in probabilistic normed spaces[J]. Fuzzy Sets and Systems,2007,158:1823-1831.
[8]  Schweizer B, Sklar A. Probabilistic Metric Spaces[M]. New York:Dover,2005.
[9]  宋明亮. F*空间中φn-型拟范收缩与非线性算子方程的解[J]. 兰州理工大学学报:自然科学版,2010,36(2):138-141.
[10]  Shokri J. On systems of fuzzy nonlinear equations[J]. Appl Math Sci,2008,25(2):1205-1217.
[11]  Kamran T. Common fixed points theorems for fuzzy mappings[J]. Chaos Solitons Fractals,2008,38(5):1378-1382.
[12]  Azam A, Beg I. Common fixed points of fuzzy maps[J]. Math Comput Model,2009,49:1331-1336.
[13]  Garg A, Singh S R. Solving fuzzy nonlinear equations by a general lterative method[J]. J Uncertain Systems,2010,4(3):206-215.
[14]  Lee B S, Khan M F, Salahuddin. Fuzzy nonlinear set-valued variational inclusions[J]. Comput Math Appl,2010,60(6):1768-1775.
[15]  Rudin W. Functional Analysis[M]. New York:McGraw-Hill Inc,1991.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133