FIXED POINT THEOREMS ON INTUITIONISTIC FUZZY QUASI-METRIC SPACES WITH APPLICATION TO THE DOMAIN OF WORDS

被引:0
作者
Deshpande, Bhavana [1 ]
Pathak, Rohit [2 ]
机构
[1] Govt PG Arts Sci Coll, Dept Math, Ratlam, Madhya Pradesh, India
[2] Devi Ahilya Vishwavidyalaya, Inst Engn & Technol, Appl Sci Dept, Indore 452017, Madhya Pradesh, India
来源
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2013年 / 31期
关键词
Intuitionistic fuzzy quasi-metric space; Common fixed point; G-complete intuitionistic fuzzy quasi-metric space; B-contraction; Domain of words;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we prove intuitionistic fuzzy quasi-metric version of the Banach contraction principle which extend the famous Grabiec fixed point theorem. By using this result we show the existence of fixed point for contraction mappings on the domain of words and apply this approach to deduce the existence of solution for some recurrence equations associated to the analysis of Quicksort algorithms and divide and Conquer algorithms, respectively.
引用
收藏
页码:343 / 354
页数:12
相关论文
共 50 条
[31]   Common Fixed Point Theorems in Metric spaces with Applications [J].
Semwal, Pushpendra ;
Komal .
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, 11 (04) :1177-1190
[32]   Fixed point theorems in ordered cone metric spaces [J].
Yang, Young-Oh ;
Choi, Hong Joon .
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06) :4571-4579
[33]   On common fixed point theorems in metric and Banach spaces [J].
Hou, ZH ;
Zhang, LL ;
Kang, SM .
FIXED POINT THEORY AND APPLICATIONS, VOL 3, 2002, :83-89
[34]   Common Fixed Point Theorems In Ultra Metric Spaces [J].
Rao, K. P. R. ;
Kishore, G. N. V. .
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2008, 40 :31-35
[35]   Certain fixed point theorems on partial metric spaces [J].
Semwal, Pushpendra ;
Gairola, Asha Ram ;
Mishra, Lakshmi Narayan ;
Mishra, Vishnu Narayan .
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, (48) :1104-1118
[36]   Common fixed points of maps on intuitionistic fuzzy metric spaces [J].
Park, Jin Han ;
Park, Jong Seo ;
Kwun, Young Chel .
FUZZY INFORMATION AND ENGINEERING, PROCEEDINGS, 2007, 40 :216-+
[37]   RELATED FIXED POINT THEOREM FOR SIX MAPPINGS ON THREE MODIFIED INTUITIONISTIC FUZZY METRIC SPACES [J].
Sharma, Sushil ;
Tilwankar, Prashant .
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2012, (29) :351-364
[38]   COMMON FIXED POINT IN FUZZY METRIC SPACES [J].
Sharma, Sushil ;
Tiwari, Jayesh K. .
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2005, 12 (01) :17-31
[39]   SOME FIXED POINT THEOREMS IN FUZZY METRIC SPACE [J].
Mishra, Urmila ;
Ranadive, Abhay Sharad ;
Gopal, Dhananjay .
TAMKANG JOURNAL OF MATHEMATICS, 2008, 39 (04) :309-316
[40]   SOME FIXED POINT THEOREMS IN FUZZY METRIC SPACE [J].
Pant, Vyomesh .
TAMKANG JOURNAL OF MATHEMATICS, 2009, 40 (01) :59-65