An Analytical Study of Fixed Point Theorems in Intuitionistic Fuzzy b-Metric Spaces
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บทคัดย่อ
In this paper, the study is devoted to investigating fixed point theorems in intuitionistic
fuzzy b-metric spaces (IFb-MS) and extends classical results from fuzzy b-metric spaces
(Fb-MS). It introduces a broader class of sufficient conditions ensuring the Cauchy nature
of sequences, thereby generalizing and simplifying contraction mappings and their proofs.
Theunified approach accommodates diverse contractive conditions and offers novel insights
into the establishment of existence and uniqueness results for fixed points in the proposed
generalized topology
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Zadeh LA. Fuzzy sets. Inf Control 1965;8:338-53.
Kaleva O, Seikkala S. On fuzzy metric spaces. Fuzzy Sets Syst 1984;12:215-29.
Kramosil I, Michálek J. Fuzzy metrics and statistical metric spaces. Kybernetika 1975;11:336-44.
George A, Veeramani P. On some results in fuzzy metric spaces. Fuzzy Sets Syst 1994;64:395-9.
Gregori V, Sapena A. On fixed-point theorems in fuzzy metric spaces. Fuzzy Sets Syst 2002;125:245-52.
Sedghi S, Shobe N, Selahshoor MA. A common fixed point theorem for four mappings in two complete fuzzy metric spaces. Adv Fuzzy Math 2006;1.
Sedghi S, Turkoglu D, Shobe N. Generalization common fixed point theorem in complete fuzzy metric spaces. J Comput Anal Appl 2007;3:337-48.
Sedghi S, Shobe N. Common fixed point theorem in b-fuzzy metric space. Nonlinear Funct Anal Appl 2012;17:349-59.
Sedghi S, Shobe N. Common fixed point theorem for R-weakly commuting maps in b-fuzzy metric space. Nonlinear Funct Anal Appl 2014;19:283-95.
Došenović T, Rakić D, Brdar M. Fixed point theorem in fuzzy metric spaces using altering distance. Filomat 2014;28:1517-24.
Roldán-López-de-Hierro AF, Karapinar E, Manro S. Some new fixed point theorems in fuzzy metric spaces. J Intell Fuzzy Syst 2014;27:2257-64.
Park JH. Intuitionistic fuzzy metric spaces. Chaos Solitons Fractals 2004;22:1039-46.
Kalia R, Gupta S. Fixed point results in intuitionistic fuzzy metric spaces using generalized contractions. J Nonlinear Anal Optim 2018;9:155-70.
Huang X, Zhang X. Fixed point theorems for intuitionistic fuzzy contractions. J Intell Fuzzy Syst 2015;29:1031-8.
Cho YJ. Fixed point theorems in intuitionistic fuzzy metric spaces. J Appl Math 2012:1-13.
Bakhtin I. The contraction mapping principle in quasimetric spaces. Funct Anal 1989;30:26-37.
Czerwik S. Contraction mappings in b-metric spaces. Acta Math Inform Univ Ostraviensis 1993;1:5-11.
Hassanzadeh Z, Sedghi S. Relation between b-metric and fuzzy metric spaces. Math Morav 2018;22:55-63.
Rakić D, Mukheimer A, Došenović T, Mitrović ZD, Radenović S. On some new fixed point results in fuzzy b-metric spaces. J Inequal Appl 2020;2020:99.
Schweizer B, Sklar A. Statistical metric spaces. Pac J Math 1960;10:314-34.
Klement EP, Mesiar R, Pap E. Triangular norms. Trends in Logic. Dordrecht: Kluwer Academic; 2000.
Hadžić O. A fixed point theorem in Menger spaces. Publ Inst Math 1979;20:107-12.
Hadžić O, Pap E. Fixed point theory in probabilistic metric spaces. Dordrecht: Kluwer Academic; 2001.
Došenović T, Javaheri A, Sedghi S, Shobe N. Coupled fixed point theorem in b-fuzzy metric spaces. Novi Sad J Math 2017;47:77-88.
