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
[41]   Fuzzy Version of Some Fixed Point Theorems On Expansion Type Maps in Fuzzy FM Metric Spaces [J].
Saini, R. K. ;
Vishal ;
Singh, S. B. .
THAI JOURNAL OF MATHEMATICS, 2007, 5 (02) :245-252
[42]   Common Fixed Point Theorems in Complex-Valued Controlled Metric Spaces with Application [J].
Shammaky, Amnah Essa ;
Ahmad, Jamshaid .
SYMMETRY-BASEL, 2024, 16 (11)
[43]   Common fixed point theorems on complete and weak G-complete fuzzy metric spaces [J].
Adhya, Sugata ;
Ray, Deb .
APPLIED GENERAL TOPOLOGY, 2024, 25 (01) :17-34
[44]   Some Results on Common Fixed Point Theorems in epsilon-Chainable Fuzzy Metric Spaces [J].
Sharma, Rajinder .
MATEMATIKA, 2014, 30 (01) :69-77
[45]   COMMON FIXED POINT THEOREMS IN COMPLEX VALUED METRIC SPACES [J].
Azam, Akbar ;
Fisher, Brian ;
Khan, M. .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2011, 32 (03) :243-253
[46]   A NOTE ON COMMON FIXED POINT THEOREMS IN PARTIAL METRIC SPACES [J].
Karapinar, Erdal .
MISKOLC MATHEMATICAL NOTES, 2011, 12 (02) :185-191
[47]   COUPLED FIXED POINT THEOREMS IN G(b)-METRIC SPACES [J].
Sedghi, Shaban ;
Shobkolaei, Nabi ;
Roshan, Jamal Rezaei ;
Shatanawi, Wasfi .
MATEMATICKI VESNIK, 2014, 66 (02) :190-201
[48]   SOME COMMON FIXED POINT THEOREMS USING COMPATIBLE MAPS OF TYPE(alpha) ON INTUITIONISTIC FUZZY METRIC SPACE [J].
Park, Jong Seo .
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2009, 16 (01) :19-30
[49]   Common fixed point theorems of integral type in intuitionistic fuzzy metric space using control function with applications [J].
Arora, Sahil .
INTERNATIONAL JOURNAL OF MATHEMATICS FOR INDUSTRY, 2025,
[50]   Some common fixed point theorems in dislocated metric spaces [J].
Bennani, Samia ;
Bourijal, Hicham ;
Mhanna, Soufiane ;
El Moutawakil, Driss .
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (02) :86-92