Mathematical Analysis and Convex Optimization最新文献

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A `xi`-projectively flat connection on Kenmotsu manifolds Kenmotsu流形上的“xi”-投影平面连接
Mathematical Analysis and Convex Optimization Pub Date : 2020-02-01 DOI: 10.29252/maco.1.1.2
V. Pirhadi
{"title":"A `xi`-projectively flat connection on Kenmotsu manifolds","authors":"V. Pirhadi","doi":"10.29252/maco.1.1.2","DOIUrl":"https://doi.org/10.29252/maco.1.1.2","url":null,"abstract":"‎In this paper‎, ‎we introduce a semi-symmetric non-metric connection on `eta`-Kenmotsu manifolds that changes an `eta`-Kenmotsu manifold into an Einstein manifold‎. ‎Next‎, ‎we consider an especial version of this connection and show that every Kenmotsu manifold is `xi`-projectively flat with respect to this connection‎. ‎Also‎, ‎we prove that if the Kenmotsu manifold `M` is a `xi`-concircular flat with respect to the new connection‎, ‎then `M` is necessarily of zero scalar curvature‎. ‎Then‎, ‎we review the sense of `xi`-conformally flat on Kenmotsu manifolds and show that a `xi`-conformally flat Kenmotsu manifold with respect to the new connection is an `eta`-Einstein with respect to the Levi-Civita connection‎. ‎Finally‎, ‎we prove that there is no `xi`-conharmonically flat Kenmotsu manifold with respect to this connection‎.","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116950448","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
OPTIMALITY CONDITIONS FOR SOLVING NONCONVEX SET-VALUED EQUILIBRIUM PROBLEMS 求解非凸集值平衡问题的最优性条件
Mathematical Analysis and Convex Optimization Pub Date : 2020-02-01 DOI: 10.29252/maco.1.1.12
S. Jafari
{"title":"OPTIMALITY CONDITIONS FOR SOLVING NONCONVEX SET-VALUED EQUILIBRIUM PROBLEMS","authors":"S. Jafari","doi":"10.29252/maco.1.1.12","DOIUrl":"https://doi.org/10.29252/maco.1.1.12","url":null,"abstract":"In this paper, sufficient conditions ensuring the existence of solutions for set-valued equilibrium problems are obtained. The convexity assumption on the whole domain is not necessary and just the closure of a quasi-self-segment-dense subset of the domain is convex. Using a KKM theorem and a notion of Q-selected preserving $R_{-}^{*}$-intersection($R_{-}^{*}$-inclusion) for set-valued mapping, the existence results are proved in real Hausdorff topological vector spaces.","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125237820","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of three solutions for hemivariational inequalities driven with impulsive effects 脉冲效应驱动半变分不等式的三个解的存在性
Mathematical Analysis and Convex Optimization Pub Date : 2020-02-01 DOI: 10.29252/maco.1.1.4
N. Nyamoradi, K. Teng
{"title":"Existence of three solutions for hemivariational inequalities driven with impulsive effects","authors":"N. Nyamoradi, K. Teng","doi":"10.29252/maco.1.1.4","DOIUrl":"https://doi.org/10.29252/maco.1.1.4","url":null,"abstract":"In this paper we prove the existence of at least three solutions to the following second-order impulsive system: where `A: [0, T] rightarrow mathbb{R}^{N times N}` is a continuous map from the interval `[0, T]` to the set of `N`-order symmetric matrixes. The approach is fully based on a recent three critical points theorem of Teng [K. Teng, Two nontrivial solutions for hemivariational inequalities driven by nonlocal elliptic operators, Nonlinear Anal. (RWA) 14 (2013) 867-874].","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114848227","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the basis property of an trigonometric functions system of the Frankl problem with a nonlocal parity condition of the first kind in the Sobolev space `overline(W)_p^(2l) (0,pi)` Sobolev空间中具有第一类非局部宇称条件的Frankl问题的三角函数系统的基本性质' overline(W)_p^(2l) (0,pi) '
Mathematical Analysis and Convex Optimization Pub Date : 2020-02-01 DOI: 10.29252/maco.1.1.5
N. Abbasi, E. Moiseev
{"title":"On the basis property of an trigonometric functions system of the Frankl problem with a nonlocal parity condition of the first kind in the Sobolev space `overline(W)_p^(2l) (0,pi)`","authors":"N. Abbasi, E. Moiseev","doi":"10.29252/maco.1.1.5","DOIUrl":"https://doi.org/10.29252/maco.1.1.5","url":null,"abstract":"In the present paper, we write out the eigenvalues and the corresponding eigenfunctions of the modified Frankl problem with a nonlocal parity condition of the first kind. We analyze the  completeness,  the basis  property,  and the minimality of the eigenfunctions  in the space `overline(W)_p^(2l) (0,pi)`,  where  `overline(W)_p^(2l) (0,pi)` be the set of functions `f in  W_p^(2l) (0,pi)`, satisfying of the following conditions: `f^{(2k-1)}(0)=0, k=1,2,...,l`.","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122151386","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coupled coincidence point results for mappings without mixed monotone property in partially ordered `G`-metric spaces 部分序' G ' -度量空间中无混合单调性映射的耦合重合点结果
Mathematical Analysis and Convex Optimization Pub Date : 2020-02-01 DOI: 10.29252/maco.1.1.9
E. A. Adegani, Monica-Felicia Bota
{"title":"Coupled coincidence point results for mappings without mixed monotone property in partially ordered `G`-metric spaces","authors":"E. A. Adegani, Monica-Felicia Bota","doi":"10.29252/maco.1.1.9","DOIUrl":"https://doi.org/10.29252/maco.1.1.9","url":null,"abstract":"In this paper, we prove some coupled fixed point theorems for nonlinear contractive mappings which doesn't have the mixed monotone property, in the context of partially ordered `G`-metric spaces. Hence, these results can be applied in a much wider class of problems. Our results improve the result of D. Dori'{c}, Z. Kadelburg and S. Radenovi'{c} [Appl. Math. Lett. (2012)]. We also present two examples to support these new results.","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"323 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122910729","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
ON THE EXISTENCE OF SOLUTIONS OF A GENERALIZED MONOTONE EQUILIBRIUM PROBLEM 一类广义单调平衡问题解的存在性
Mathematical Analysis and Convex Optimization Pub Date : 2020-02-01 DOI: 10.29252/maco.1.1.1
H. Khatibzadeh, Mahnaz Rezaei
{"title":"ON THE EXISTENCE OF SOLUTIONS OF A GENERALIZED MONOTONE EQUILIBRIUM PROBLEM","authors":"H. Khatibzadeh, Mahnaz Rezaei","doi":"10.29252/maco.1.1.1","DOIUrl":"https://doi.org/10.29252/maco.1.1.1","url":null,"abstract":"Blum and Oettli in their seminal paper studied monotone bifunctions and proved the existence of an equilibrium point. In this work, we extend theirmain result by replacing monotone bifunction with a more general bifunction and prove the existence of an equilibrium point.","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125964320","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
An Analytical Solution For The Black-Scholes Equation Using Functional Perturbation Method 用泛函摄动方法解析解Black-Scholes方程
Mathematical Analysis and Convex Optimization Pub Date : 2020-02-01 DOI: 10.29252/maco.1.1.8
M. Ranjbar, Somayeh Pourghanbar, E. Nasrabadi
{"title":"An Analytical Solution For The Black-Scholes Equation Using Functional Perturbation Method","authors":"M. Ranjbar, Somayeh Pourghanbar, E. Nasrabadi","doi":"10.29252/maco.1.1.8","DOIUrl":"https://doi.org/10.29252/maco.1.1.8","url":null,"abstract":"One of the greatest accomplishments in modern financial theory, in terms of both approach and applicability has been the BlackScholes option pricing model. It is widely recognized that the value of a European option can be obtained by solving the Black-Scholes equation. In this paper we use functional perturbation method (FPM) for solving Black-Scholes equation to price a European call option. The FPM is a tool based on considering the differential operator as a functional. The equation is expanded functionally by Frechet series. Then a number of successive partial differential equations (PDEs) are obtained that have constant coefficients and differ only in their right hand side part. Therefore we do not need to resolve the different equations for each step. In contrast to methods that have implicit solutions, the FPM yields a closed form explicit solution.","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132768282","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Multiplicative Inequalities for Heinz Operator Mean Heinz算子均值的几个乘法不等式
Mathematical Analysis and Convex Optimization Pub Date : 1900-01-01 DOI: 10.52547/maco.2.1.1
S. Dragomir
{"title":"Some Multiplicative Inequalities for Heinz Operator Mean","authors":"S. Dragomir","doi":"10.52547/maco.2.1.1","DOIUrl":"https://doi.org/10.52547/maco.2.1.1","url":null,"abstract":"In this paper we obtain some new multiplicative inequalities for Heinz operator mean. 1. Introduction Throughout this paper A; B are positive invertible operators on a complex Hilbert space (H; h ; i) : We use the following notations for operators and 2 [0; 1] Ar B := (1 )A+ B; the weighted operator arithmetic mean, and A] B := A 1=2 A BA 1=2 A; the weighted operator geometric mean [14]. When = 1 2 we write ArB and A]B for brevity, respectively. De\u0085ne the Heinz operator mean by H (A;B) := 1 2 (A] B +A]1 B) : The following interpolatory inequality is obvious (1.1) A]B H (A;B) ArB for any 2 [0; 1]: We recall that Specht’s ratio is de\u0085ned by [16] (1.2) S (h) := 8> >: h 1 h 1 e ln h 1 h 1 if h 2 (0; 1) [ (1;1) ; 1 if h = 1: It is well known that limh!1 S (h) = 1; S (h) = S 1 h > 1 for h > 0; h 6= 1. The function is decreasing on (0; 1) and increasing on (1;1) : The following result provides an upper and lower bound for the Heinz mean in terms of the operator geometric mean A]B : Theorem 1 (Dragomir, 2015 [6]). Assume that A; B are positive invertible operators and the constants M > m > 0 are such that (1.3) mA B MA: 1991 Mathematics Subject Classi\u0085cation. 47A63, 47A30, 15A60, 26D15, 26D10.","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114994502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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