Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Dorel Miheţ"'
Autor:
Dorel Miheţ
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 5, Pp 729-736 (2005)
A fixed point theorem concerning probabilistic contractions satisfying an implicit relation, which generalizes a well-known result of Hadžić, is proved.
Externí odkaz:
https://doaj.org/article/18c78b4e411440fab5a5d142f96c2582
Autor:
Dorel Miheţ, Claudia Zaharia
Publikováno v:
Abstract and Applied Analysis, Vol 2012 (2012)
By using the fixed point method, we obtain a version of a stability result of Baker in probabilistic metric and quasimetric spaces under triangular norms of Hadžić type. As an application, we prove a theorem regarding the stability of the additive
Externí odkaz:
https://doaj.org/article/8e2cb06e2e334c949dadd9760fe6d6e8
Autor:
Dorel Miheţ, Ishak Altun
Publikováno v:
Fixed Point Theory and Applications, Vol 2010 (2010)
In the present paper we provide two different kinds of fixed point theorems on ordered nonArchimedean fuzzy metric spaces. First, two fixed point theorems are proved for fuzzy order ψ-contractive type mappings. Then a common fixed point theorem is g
Externí odkaz:
https://doaj.org/article/e1edbfd27eb04f68bc550e85df930b5d
Autor:
Dorel Miheţ
Publikováno v:
Fixed Point Theory and Applications, Vol 2007 (2007)
We answer into affirmative an open question raised by A. Razani in 2005. An essential role in our proofs is played by the separation axiom in the definition of a fuzzy metric space in the sense of George and Veeramani.
Externí odkaz:
https://doaj.org/article/65371d0c4d6e41bdbba0b3c74fcef6e0
Autor:
Claudia Zaharia, Dorel Miheţ
Publikováno v:
Aequationes mathematicae. 86:99-105
We consider a problem of Schwaiger in the setting of random normed spaces to obtain a characterization for the completeness of these spaces by means of the stability of the Cauchy additive functional equation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d674d1264d9f19cdb23abfef8ab97ee6
https://doi.org/10.1007/s00010-012-0182-6
https://doi.org/10.1007/s00010-012-0182-6
Publikováno v:
Mathematica Slovaca. 61:817-826
We establish a stability result concerning the functional equation: $\sum\limits_{i = 1}^m {f\left( {mx_i + \sum\limits_{j = 1,j \ne i}^m {x_j } } \right) + f\left( {\sum\limits_{i = 1}^m {x_i } } \right) = 2f\left( {\sum\limits_{i = 1}^m {mx_i } } \
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b5c04caef2814897d51b986d1805e84c
https://doi.org/10.2478/s12175-011-0049-7
https://doi.org/10.2478/s12175-011-0049-7
Autor:
Dorel Miheţ
Publikováno v:
Resonance. 15:1111-1121
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6be17395b623205308ee400cffd7db09
https://doi.org/10.1007/s12045-010-0123-4
https://doi.org/10.1007/s12045-010-0123-4
Autor:
Dorel Miheţ
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 73:2184-2188
We prove two common fixed point theorems for a pair of weakly compatible maps in fuzzy metric spaces both in the sense of Kramosil and Michalek and in the sense of George and Veeramani, by using E.A. property.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::92b4eeeef94adec05403aada9dcf6378
https://doi.org/10.1016/j.na.2010.05.044
https://doi.org/10.1016/j.na.2010.05.044
Autor:
Dorel Miheţ
Publikováno v:
Fuzzy Sets and Systems. 161:2206-2212
A stability result for the additive Cauchy functional equation in non-Archimedean fuzzy normed spaces over a field with valuation is given by using the concept of countable extension of a t-norm.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d0888098f45d7e97d602e657f9be0590
https://doi.org/10.1016/j.fss.2010.02.010
https://doi.org/10.1016/j.fss.2010.02.010
Autor:
Dorel Miheţ
Publikováno v:
Fuzzy Sets and Systems. 161:1131-1137
Using the notion of geometrically convergent t-norms, a fixed point theorem in fuzzy metric spaces in the sense of Kramosil and Michalek for a class of contractions, larger than the class of (@e,@l)-contraction mappings, has been proved.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::769d9eaf1c37791ddb2cc9e49d4b242e
https://doi.org/10.1016/j.fss.2009.09.018
https://doi.org/10.1016/j.fss.2009.09.018