{"title":"Common Fixed Point Theorems for Occasionally Converse Commuting Mappings in Semi-metric Space","authors":"U. Rajopadhyaya, K. Jha, Y. Cho","doi":"10.12988/IJMA.2014.4258","DOIUrl":"https://doi.org/10.12988/IJMA.2014.4258","url":null,"abstract":"In this paper, we establish a common fixed point theorem for three pairs of self mappings in semi-metric space for occasionally converse commuting maps which improves and extends similar known results in the literature.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"140 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":"116858726","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 a positive realization for generalized continuous linear state space systems","authors":"Muhafzan","doi":"10.12988/IJMA.2013.39209","DOIUrl":"https://doi.org/10.12988/IJMA.2013.39209","url":null,"abstract":"In this paper, we study the positive realization problem for generalized continuous linear state space systems. A necessary and sufficient condition for existence of a positive realization for a generalized continuous linear state space system is proposed. Mathematics Subject Classification: 93C05, 93D15.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"23 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":"116978260","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":"Weak W-continuity on weak spaces","authors":"Young Key Kim, W. Min","doi":"10.12988/ijma.2015.54336","DOIUrl":"https://doi.org/10.12988/ijma.2015.54336","url":null,"abstract":"We introduced the notion of weak structure [13] which is defined by the new interior operator and closure operator defined in a WNS. The notion of W -continuity was also introduced and studied. The purpose of this paper is to study the extended notion of W -continuity on weak spaces. So we introduce the notion of weak W -continuity on weak spaces and study properties of such a notion. For the study, we also investigate the notions of w-Urysohn spaces, w-closed graph and strongly w-closed graph on weak spaces. Mathematics Subject Classification: 54A05, 54B10, 54C10, 54D30","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"94 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":"117093338","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":"Differential of a graph and its relation to the concept of domination","authors":"S. Canoy, Elgie T. Liwagon","doi":"10.12988/ijma.2014.46153","DOIUrl":"https://doi.org/10.12988/ijma.2014.46153","url":null,"abstract":"Let G = (V (G),E(G)) be an arbitrary graph. For X ⊆ V (G), the boundary B(X) of X is the set of vertices in V (G)X that have a neighbor in X and the differential of X is ∂(X) = |B(X)| − |X|. The differential ∂(G) of graph G is ∂(G) = max{∂(X) : X is a subset of V (G)}. It is shown in this paper that for any graph G of order n ≥ 2, ∂(G) is between 0 and (n − 2). Graphs whose differential is |V (G)| − 2 are characterized. Differentials of the join, corona, and lexicographic product of two graphs are also determined. For the lexicographic product G[H] of two graphs, it is shown that if the order of H is |V (H)| − 2, then one half of the difference of the order of G[H] and its differential is equal to its domination number. Otherwise, this difference is the total domination of G[H]. Mathematics Subject Classification: 05C69","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"37 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":"129539337","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":"Global stability properties of virus dynamics of a diffusive model","authors":"Kaori Saito, T. Kohno, Y. Hamaya","doi":"10.12988/ijma.2016.6795","DOIUrl":"https://doi.org/10.12988/ijma.2016.6795","url":null,"abstract":"A sufficient condition for the global stability of positive equilibrium points of a diffusive differential equation, which appears as a model for basic virus dynamics, is obtained by applying the technique of the strong maximum principle and Liapunov functionals. Mathematics Subject Classification: 35B, 35K, 92K","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"30 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":"129603567","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}
Jairo Villegas G., Jorge Castano B., Javier Gil G., Andrei Gonzalez G.
{"title":"Bidomain model solution using the finite volume method","authors":"Jairo Villegas G., Jorge Castano B., Javier Gil G., Andrei Gonzalez G.","doi":"10.12988/ijma.2016.512310","DOIUrl":"https://doi.org/10.12988/ijma.2016.512310","url":null,"abstract":"In this paper we consider cardiac electrical activity through bidomain model, to describe the electrical behavior of cardiac tissue, based on current flow, electric potential distribution and conservation of charge. So we use the finite volume scheme built on rectangular meshes. Discretizing will focus on existing algorithms for elliptic and parabolic equations, with convergence guaranteed by the classical theory.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"66 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":"129807458","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}
A. N. Alkiffai, Rehab A. Shaaban, Safaa M. Aljassas
{"title":"Finding error formulas for SuSu method to calculate double integrals with continuous and improperimproper derivatives integrands numerically","authors":"A. N. Alkiffai, Rehab A. Shaaban, Safaa M. Aljassas","doi":"10.12988/IJMA.2017.7692","DOIUrl":"https://doi.org/10.12988/IJMA.2017.7692","url":null,"abstract":"","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"120 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":"128383326","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":"The existence of T-iid random fuzzy variables and its law of large numbers","authors":"D. Hong, Jae Duck Kim","doi":"10.12988/IJMA.2015.58192","DOIUrl":"https://doi.org/10.12988/IJMA.2015.58192","url":null,"abstract":"In this paper, we define a mathematical model for T -independent and identically distributed random fuzzy variables and consider the existence of the process. We also investigate law of large numbers for random fuzzy variables. For special cases, we consider the case for T = min and T =Archimedean t-norm. Mathematics Subject Classification: 60A86","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"9 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":"128385632","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":"Bayes approach for the series system with type-2 censoring","authors":"K. Meena, T. Vasanthi","doi":"10.12988/IJMA.2013.13058","DOIUrl":"https://doi.org/10.12988/IJMA.2013.13058","url":null,"abstract":"This work is focusing on a series system with n statistically independent components, each of which has a Pareto distributed lifetime with parameters τj and θj, j=1,2,3,...,n and which are censored when the r-th sample fails. Many products have more than one cause of failure. In masked system life time data, the causes of exact failure are often unknown. These observations are referred as masked. It is assumed that the lifetime data of the series system are masked, and the masking probability is dependent. A Bayesian analysis via gibbs sampling is made for estimating the unknown parameters using likelihood function. The results obtained are validated by a numerical example.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"100 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":"128597731","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":"A fixed point theorem for Reich contractions in generalized cone b-metric spaces","authors":"M. Rangamma, P. M. Reddy","doi":"10.12988/ijma.2016.615","DOIUrl":"https://doi.org/10.12988/ijma.2016.615","url":null,"abstract":"In this paper, we prove a fixed point theorem for Reich contractions in generalized cone b-metric spaces without assuming normality of cone. Our results improve and generalize many recent known results in cone rectangular metric space and generalized cone b-metric spaces.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"33 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":"128620093","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}