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An example for the non-stability of multi-additive-quadratic-cubic mappings
Abasalt Bodaghi 대한수학회 2024 대한수학회논문집 Vol.39 No.1
In this paper, we improve Corollary 1 of \cite{bras} and then present an example to show that the assertion in the mentioned corollary can not be valid in the singularity case.
Abasalt Hossienzadeh Colagar,Hamid Moradi Firouzjah,Sohrab Halalkhor 한국유방암학회 2015 Journal of breast cancer Vol.18 No.2
Purpose: According to previous studies, vitamin D exhibits protective effects against breast cancer via the vitamin D receptor (VDR). There is growing evidence that breast cancer incidence is associated with various polymorphisms of the VDR gene. This study investigates the association of VDR poly(A) microsatellite variants with 25-hydroxyvitamin D (25(OH)D) serum levels and breast cancer risk. Methods: Polymorphism analysis was performed on a total of 261 blood samples, which were collected from 134 women with breast cancer and 127 controls. Single strand conformation polymorphism was assessed by polymerase chain reaction in combination with sequencing to detect poly(A) lengths for each sample. The vitamin D levels of samples were determined by electrochemiluminescence. Results: The poly(A) variant L allele frequency was significantly higher in cancer patients than in controls (odds ratio [OR], 1.73; 95% confidence interval [CI], 1.16–2.57; p=0.006). Thus, carriers of the L allele (LS and LL genotypes) have a higher risk for breast cancer (OR, 1.86; 95% CI, 1.13–3.05; p=0.013). A larger increase in the risk for breast cancer was found in individuals with the L carrier genotype and lowered 25(OH)D levels. Conclusion: The results primarily suggest that VDR gene polymorphism in the poly(A) microsatellite is associated with 25(OH)D levels and that it can affect the breast cancer risk in the female population from northern Iran.
Multi-derivations and some approximations
Abasalt Bodaghi,Hassan Feizabadi 대한수학회 2022 대한수학회논문집 Vol.37 No.3
In this paper, we introduce the multi-derivations on rings and present some examples of such derivations. Then, we unify the system of functional equations defining a multi-derivation to a single formula. Applying a fixed point theorem, we will establish the generalized Hyers--Ulam stability of multi-derivations in Banach module whose upper bounds are controlled by a general function. Moreover, we give some important applications of this result to obtain the known stability outcomes.
General system of multi-sextic mappings and stability results
Abasalt Bodaghi 대한수학회 2023 대한수학회논문집 Vol.38 No.2
In this study, we characterize the structure of the multivariable mappings which are sextic in each component. Indeed, we unify the general system of multi-sextic functional equations defining a multi-sextic mapping to a single equation. We also establish the Hyers-Ulam and G\u{a}vru\c{t}a stability of multi-sextic mappings by a fixed point theorem in non-Archimedean normed spaces. Moreover, we generalize some known stability results in the setting of quasi-$\beta$-normed spaces. Using a characterization result, we indicate an example for the case that a multi-sextic mapping is non-stable.
FUNDAMENTAL STABILITIES OF THE NONIC FUNCTIONAL EQUATION IN INTUITIONISTIC FUZZY NORMED SPACES
Bodaghi, Abasalt,Park, Choonkil,Rassias, John Michael Korean Mathematical Society 2016 대한수학회논문집 Vol.31 No.4
In the current work, the intuitionistic fuzzy version of Hyers-Ulam stability for a nonic functional equation by applying a fixed point method is investigated. This way shows that some fixed points of a suitable operator can be a nonic mapping.
General solution and Ulam-Hyers stability of viginti functional equations in multi-Banach spaces
Murali Ramdoss,Abasalt Bodaghi,Aruldass Antony Raj 충청수학회 2018 충청수학회지 Vol.31 No.2
In this paper, we introduce the general form of a viginti functional equation. Then, we find the general solution and study the generalized Ulam-Hyers stability of such functional equation in multi-Banach spaces by using fixed point technique. Also, we indicate an example for non-stability case regarding to this new functional equation.
STABILITY AND HYPERSTABILITY OF MULTI-ADDITIVE-CUBIC MAPPINGS IN INTUITIONISTIC FUZZY NORMED SPACES
( Elahe Ramzanpour ),( Abasalt Bodaghi ),( Alireza Gilani ) 호남수학회 2020 호남수학학술지 Vol.42 No.2
In the current paper, the intuitionistic fuzzy normed space version of Hyers-Ulam stability for multi-additive, multi-cubic and multi-additive-cubic mappings by using a fixed point method are studied. Moreover, a few corollaries corresponding to some known stability and hyperstability outcomes in intuitionistic fuzzy normed space are presented.
Zeinab Jalambadani,Abasalt Borji,Mohammadbagher Delkhosh 대한가정의학회 2018 Korean Journal of Family Medicine Vol.39 No.6
Background: Iron is an essential element for women of reproductive age, especially in the period before and during the pregnancy. This study investigates the consumption of iron to prevent iron deficiency anemia among preg-nant women visiting Neyshabur healthcare centers based on the theory of planned behavior. Methods: In this experimental study, data were collected through a questionnaire survey. It included 160 pregnant women who were receiving maternity services at twelve healthcare centers in the city of Neyshabur in Iran between 2015 and 2017. The participants’ demographic and anthropometric characteristics, Using the theory of planned behavior, and blood lab examination results, including ferritin levels were measured and the data were analyzed using IBM SPSS ver. 22.0 (IBM Corp., Armonk, NY, USA). Results: The average scores of knowledge, attitude, perceived behavioral control, subjective norms, and intention categories for the intervention group were meaningfully increased after the participants received education on iron supplementation (P<0.05). However, these changes were not found to be significant in the control group (P>0.05). No statistically significant difference was obtained in the subjective norms category between the two groups after the education intervention (P=0.92). Conclusion: Based on the experimental effects of education encouraging iron supplementation in pregnant women, it is suggested that workshops promoting iron supplementation should be conducted in health centers with the aim of preventing widespread iron deficiency anemia.
GENERAL SOLUTION AND ULAM-HYERS STABILITY OF VIGINTI FUNCTIONAL EQUATIONS IN MULTI-BANACH SPACES
Ramdoss Murali,Abasalt Bodaghi,Aruldass Antony Raj 충청수학회 2018 충청수학회지 Vol.31 No.2
Abstract. In this paper, we introduce the general form of a viginti functional equation. Then, we find the general solution and study the generalized Ulam-Hyers stability of such functional equation in multi-Banach spaces by using fixed point technique. Also, we indicate an example for non-stability case regarding to this new functional equation.
THE GENERAL SOLUTION AND APPROXIMATIONS OF A DECIC TYPE FUNCTIONAL EQUATION IN VARIOUS NORMED SPACES
Mohan Arunkumar,Abasalt Bodaghi,John Michael,Elumalai Sathya 충청수학회 2016 충청수학회지 Vol.29 No.2
In the current work, we de¯ne and ¯nd the general solution of the decic functional equation g(x + 5y) ¡ 10g(x + 4y) + 45g(x + 3y) ¡ 120g(x + 2y) + 210g(x + y) ¡ 252g(x) + 210g(x ¡ y) ¡ 120g(x ¡ 2y) + 45g(x ¡ 3y) ¡ 10g(x ¡ 4y) + g(x ¡ 5y) = 10!g(y) where 10! = 3628800. We also investigate and establish the gener- alized Ulam-Hyers stability of this functional equation in Banach spaces, generalized 2-normed spaces and random normed spaces by using direct and ¯xed point methods.