Results 251 to 260 of about 26,040 (302)

Common Fixed Point Theorems for T-Hardy-Rodgers Contraction Mappings in Complete Cone b-Metric Spaces with an Application

Topological Algebra and Its Applications, 2021
This paper presents some fixed point theorems for T-Hardy-Rodgers contraction mappings in complete cone b-metric spaces without the assumption of normality conditions.
Santosh Kumar
exaly   +2 more sources

Some New Results on F-Contractions in 0-Complete Partial Metric Spaces and 0-Complete Metric-Like Spaces

Fractal and Fractional, 2021
Within this manuscript we generalize the two recently obtained results of O. Popescu and G. Stan, regarding the F-contractions in complete, ordinary metric space to 0-complete partial metric space and 0-complete metric-like space.
Stojan Radenovic, Nikola Mirkov, Ljiljana Paunovic   +2 more
exaly   +3 more sources

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Complete Metric Spaces

2023
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ON THE COMPLETION OF -METRIC SPACES

Bulletin of the Australian Mathematical Society, 2018
Based on the metrisation of$b$-metric spaces of Paluszyński and Stempak [‘On quasi-metric and metric spaces’,Proc. Amer. Math. Soc.137(12) (2009), 4307–4312], we prove that every$b$-metric space has a completion. Our approach resolves the limitation in using the quotient space of equivalence classes of Cauchy sequences to obtain a completion of a$b ...
NGUYEN VAN DUNG, VO THI LE HANG
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New Results of Fixed‐Point Theorems and Their Applications in Complete Complex Dc∗‐Metric Spaces

Journal of Function Spaces
The first objective of the present manuscript is to introduce the notion of complex-valued Dc∗-metric spaces as generalizing and improving the idea of D∗-metric spaces by using the context of complex-valued metric space and D∗-metric spaces.
Nassar Aiman Majid, Alaa M F Al Jumaili, Zhen Chuan nG   +2 more
exaly   +2 more sources

COMPLETENESS IN MULTI METRIC SPACES

South East Asian J. of Mathematics and Mathematical Sciences, 2022
In the present paper a notion of convergence in multi metric space is presented. Complete multi metric space is introduced and some properties are studied. Cantor’s intersection theorem and Banach’s fixed point theorem are es- tablished in multi set settings.
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On the completion of fuzzy metric spaces

Fuzzy Sets and Systems, 2008
The main result is the following: Suppose that \((x,d,L,R)\) is a fuzzy metric space. Suppose that \(\{\lambda_0(x_n,y_n) \}^\infty_{n=1}\) and \(\{\rho_0(x_n,y_n)\}^\infty_{n=1}\) are left equicontinuous, whenever \(\{x_n\}\) and \(\{y_n\}\) are Cauchy sequences. Then \((x,d,L,R)\) has a completion which is uniquely determined up to isometry.
Huan Huang 0005, Congxin Wu
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Completion of gradual metric spaces

Journal of Intelligent & Fuzzy Systems, 2014
In this paper, a completion theorem for gradual metric space and a completion theorem for gradual normed linear space are proved. The completion spaces are defined by means of an equivalence relation obtained by convergence of sequences via the gradual metrics and the gradual norms, respectively.
Bing Wang, Bin Pang 0004, Guiyan Ding
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COMPLETIONS OF PRODUCTS OF METRIC SPACES

The Quarterly Journal of Mathematics, 1992
Completeness and completions are described for spaces from the epireflective hull of pseudometric spaces (infinite values are allowed) in approach spaces. For metric spaces they coincide with the known concepts; every completely regular space is complete.
Lowen, R., Robeys, K.
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On completion of fuzzy metric spaces

Fuzzy Sets and Systems, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Valentín Gregori, Salvador Romaguera
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