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Open Access Article
1 - Solvability of infinite systems of differential equations of general order in the sequence space $bv_{\infty}$
M. H. Saboori M. Hassani R. AllahyariWe introduce the Hausdorff measure of noncompactness in the sequence space $bv_{\infty}$ and investigate the existence of solution of infinite systems of differential equations with respect to Hausdorff measure of noncompactness. Finally, we present an example to defend MoreWe introduce the Hausdorff measure of noncompactness in the sequence space $bv_{\infty}$ and investigate the existence of solution of infinite systems of differential equations with respect to Hausdorff measure of noncompactness. Finally, we present an example to defend of theorem of existential. Manuscript profile -
Open Access Article
2 - An introduction to fixed-circle problem on soft metric spaces
N. Taş O. B. ÖzbakirRecently, soft set theory has been extensively studied both theoretically and practically with different approaches. On the other hand, fixed-circle problem has been investigated as a geometric generalization of fixed-point theory and this problem can be applied to some MoreRecently, soft set theory has been extensively studied both theoretically and practically with different approaches. On the other hand, fixed-circle problem has been investigated as a geometric generalization of fixed-point theory and this problem can be applied to some applicable areas. With these two perspectives, in this paper, we obtain some soft fixed-circle results using different auxiliary functions on a soft metric space. To do this, we are inspired various contractive conditions. The obtained results can be considered as an existence or uniqueness theorem. The proved theorems are supported by some illustrative examples. Finally, we give a list of geometric consequences of these results.‎ Manuscript profile -
Open Access Article
3 - A new approach Spider's web initial solution and data envelopment analysis for solving an $X$-bar control chart
K. Ranjbar H. Khaloozadeh A. Heydari$X$-bar control charts are widely used to monitor and control business and manufacturing processes. Design of control charts refers to the selection of parameters, including sample size, control-limit width, and sampling frequency. Many researchers have worked on this i More$X$-bar control charts are widely used to monitor and control business and manufacturing processes. Design of control charts refers to the selection of parameters, including sample size, control-limit width, and sampling frequency. Many researchers have worked on this issue and have also proposed various solutions. However, despite the numerous advantages, the proposed methods also have their own set of problems. The biggest challenge is the complexity of solving these issues. Due to the fact that optimal design of control charts can be formulated as a multi objective optimization problem, in this paper to solve this problem, we used initial solution Spider's web data envelopment analysis method. In previous methods used multiple algorithms to resolve the issue. But in the proposed method once using Data Envelopment Analysis method and without any other algorithm can solve multi objective problem and this method can yield desirable efficient. Lastly, we compare our method with others and demonstrate its application in a real industrial context. Manuscript profile -
Open Access Article
4 - Two new characteristic subgroups
S. Barin M. M. NasrabadiIn this paper, we first define two new characteristic subgroups of a group $G$. Then we identify the relationships of these subgroups with $G'$, $S(G)$, $Ivar(G)$, and some different homomorphisms. Particularly, with one of these two subgroups, we determine the structur MoreIn this paper, we first define two new characteristic subgroups of a group $G$. Then we identify the relationships of these subgroups with $G'$, $S(G)$, $Ivar(G)$, and some different homomorphisms. Particularly, with one of these two subgroups, we determine the structure of $Ivar(G)$ and a subgroup of it that fixes $Z(G)$ element-wise. Manuscript profile -
Open Access Article
5 - Inverse eigenvalue problem of interval nonnegative matrices via lower triangular matrices
A. M. Nazari M. Zeinali H. Mesgarani A. NezamiIn this paper, for a given set of real interval numbers $\sigma$ that satisfies in special conditions, we find an interval nonnegative matrix $C^I$ such that for each point set $\delta$ of given interval spectrum $\sigma$, there exists a point matrix $C$ of $C^I$ such t MoreIn this paper, for a given set of real interval numbers $\sigma$ that satisfies in special conditions, we find an interval nonnegative matrix $C^I$ such that for each point set $\delta$ of given interval spectrum $\sigma$, there exists a point matrix $C$ of $C^I$ such that $\delta$ is its spectrum. For this purpose, we use unit lower triangular matrices and especially try to use binary unit lower triangular matrices. We also study some conditions for existence solution to the problem. Manuscript profile -
Open Access Article
6 - Topology and extensions of Mendelian inheritance
H. Mirabdollahi B. DavvazIn this paper, we seek to provide an appropriate topology for a set of alleles of a gene that have arbitrary interactions between its alleles. For this purpose, we first define a suitable topology on a set of alleles between which there is a similar interaction. Next, w MoreIn this paper, we seek to provide an appropriate topology for a set of alleles of a gene that have arbitrary interactions between its alleles. For this purpose, we first define a suitable topology on a set of alleles between which there is a similar interaction. Next, with the help of the topology on the set of alleles of a gene, we equip the set of phenotypes of the desired gene with a suitable topology. In addition, the final section will discuss the dependence relations between the alleles of a gene.‎ Manuscript profile -
Open Access Article
7 - Hybrid extragradient-type algorithm for zeros and fixed point problems in Banach spaces
B. Ali A. A. AlasanIn this paper, we introduce a new hybrid extragradient-type algorithm for approximating an element in the set of common solutions of equilibrium problems and common fixed points of family of Bregman demigeneralized mappings which is also a common zero of the sum of maxi MoreIn this paper, we introduce a new hybrid extragradient-type algorithm for approximating an element in the set of common solutions of equilibrium problems and common fixed points of family of Bregman demigeneralized mappings which is also a common zero of the sum of maximal monotone and Bregman inverse strongly monotone operators in the setting of reflexie Banach space. Strong convergence of the proposed algorithm to a solutions of the said problems is established which improves and generalizes many recently announced results in the literature. Manuscript profile
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