{"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}
{"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}
{"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}
{"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}
{"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}
{"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}
{"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}
{"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 Spechts 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}