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Tripled Fixed Point Theorems in Partially Ordered Spaces Using a Control Function 部分有序空间中使用控制函数的三倍不动点定理
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-08-04 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.9.1
Savitri, N. Hooda
{"title":"Tripled Fixed Point Theorems in Partially Ordered Spaces Using a Control Function","authors":"Savitri, N. Hooda","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.9.1","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.9.1","url":null,"abstract":"In this paper, We prove some new tripled fixed point theorems using a control function which is also referred to as altering distance function.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"110 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121122535","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
Strongly Connectedness in Closure Space 闭包空间中的强连通性
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-08-04 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.9.69
U. D. Tapi, Bhagyashri A. Deole
{"title":"Strongly Connectedness in Closure Space","authors":"U. D. Tapi, Bhagyashri A. Deole","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.9.69","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.9.69","url":null,"abstract":"A Cech closure space (X, u) is a set X with Cech closure operator u: P(X) → P(X) where P(X) is a power set of X, which satisfies u ф=ф, A ⊆uA for every A⊆X, u (A⋃B) = uA⋃uB, for all A, B ⊆ X. Many properties which hold in topological space hold in closure space as well. A topological space X is strongly connected if and only if it is not a disjoint union of countably many but more than one closed set. If X is strongly connected, and Ei\"s are nonempty disjoint closed subsets of X, then X≠ E1⋃E2⋃. We further extend the concept of strongly connectedness in closure space. The aim of this paper is to introduce and study the concept of strongly connectedness in closure space.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"163 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123523540","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
Common Fixed Point Theorem in Semi-metric Space with Compatible mapping of Type (E) (E)型相容映射半度量空间中的公共不动点定理
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-08-04 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.9.49
U. Rajopadhyaya, K. Jha, M. Imdad
{"title":"Common Fixed Point Theorem in Semi-metric Space with Compatible mapping of Type (E)","authors":"U. Rajopadhyaya, K. Jha, M. Imdad","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.9.49","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.9.49","url":null,"abstract":"In this paper, we establish a common fixed point theorem in semi-metric space with compatible mapping of type (E) which improves and extends similar known results in the literature.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116560705","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 CONFORMAL MAPPING IN THE QUASI- EINSTEIN MANIFOLDS 拟爱因斯坦流形的保角映射
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-08-04 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.9.72
Prasanta Dhair, S. Jana
{"title":"ON CONFORMAL MAPPING IN THE QUASI- EINSTEIN MANIFOLDS","authors":"Prasanta Dhair, S. Jana","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.9.72","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.9.72","url":null,"abstract":"In this paper we have shown the existence of conformal mapping from quasi-Einstein Manifold to Einstein manifold.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132540635","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
Network Routing on Regular Directed Graphs from Spanning Factorizations 正则有向图的生成分解网络路由
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-07-03 DOI: 10.18052/WWW.SCIPRESS.COM/BMSA.20.9
R. Dougherty, V. Faber
{"title":"Network Routing on Regular Directed Graphs from Spanning Factorizations","authors":"R. Dougherty, V. Faber","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.20.9","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.20.9","url":null,"abstract":"Networks with a high degree of symmetry are useful models for parallel processor networks. In earlier papers, we defined several global communication tasks (universal exchange, universal broadcast, universal summation) that can be critical tasks when complex algorithms are mapped to parallel machines. We showed that utilizing the symmetry can make network optimization a tractable problem. In particular, we showed that Cayley graphs have the desirable property that certain routing schemes starting from a single node can be transferred to all nodes in a way that does not introduce conflicts. In this paper, we define the concept of spanning factorizations and show that this property can also be used to transfer routing schemes from a single node to all other nodes. We show that all Cayley graphs and many (perhaps all) vertex transitive graphs have spanning factorizations.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129390358","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
Stochastic Modeling of Inter & Intra Stage Dependent Cancer Growth under Chemotherapy through Trivariate Poisson Processes 基于三变量泊松过程的化疗期间和期内肿瘤生长的随机模型
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-06-02 DOI: 10.18052/WWW.SCIPRESS.COM/BSMASS.10.31
P. T. Rao, B. Kumar, J. Jayabharathiraj
{"title":"Stochastic Modeling of Inter & Intra Stage Dependent Cancer Growth under Chemotherapy through Trivariate Poisson Processes","authors":"P. T. Rao, B. Kumar, J. Jayabharathiraj","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.10.31","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.10.31","url":null,"abstract":"This study has proposed a Stochastic Model for cancer growth under chemotherapy with the assumptions of the growth, transition and loss parameters of different stages are inter and intra dependent. A trivariate Poisson process approach has been adopted for modeling the three stage cancer growth by considering the stages of cells in the tumor namely normal cell, mutant cell and malignant cell in the presence and absence of chemotherapy during time ‘t’. Stochastic differential equations were obtained and the three dimensional joint probability functions along with related statistical measures were derived. Model behavior was analysed through numerical data.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"28 16","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131500273","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 âg Connected Spaces 关于<s:1> g连通空间
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-06-02 DOI: 10.18052/WWW.SCIPRESS.COM/BSMASS.10.7
V. Senthilkumaran, R. Krishnakumar, Y. Palaniappan
{"title":"On âg Connected Spaces","authors":"V. Senthilkumaran, R. Krishnakumar, Y. Palaniappan","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.10.7","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.10.7","url":null,"abstract":"","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133648949","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
COMMON FIXED POINT THEOREM IN INTUITIONISTIC FUZZY METRIC SPACE USING COMPATIBLE MAPPINGS OF TYPE (K) 基于(k)型相容映射的直觉模糊度量空间中的公共不动点定理
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-06-02 DOI: 10.18052/WWW.SCIPRESS.COM/BSMASS.10.53
K. B. Manandhar, K. Jha, Y. Cho
{"title":"COMMON FIXED POINT THEOREM IN INTUITIONISTIC FUZZY METRIC SPACE USING COMPATIBLE MAPPINGS OF TYPE (K)","authors":"K. B. Manandhar, K. Jha, Y. Cho","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.10.53","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.10.53","url":null,"abstract":"In this paper, we introduce the notion of compatible mappings of type (K) in intuitionistic fuzzy metric space and obtain a common fixed point theorem for self mappings on complete intuitionistic fuzzy metric space with example. Our result generalizes and improves other similar results in literature.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129747405","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: 4
Existence of Poluet numbers in square form 平方形式污染数的存在性
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-06-02 DOI: 10.18052/WWW.SCIPRESS.COM/BSMASS.10.26
D. N. Murty, K. Gandhi
{"title":"Existence of Poluet numbers in square form","authors":"D. N. Murty, K. Gandhi","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.10.26","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.10.26","url":null,"abstract":"In this paper, we will introduce theorem, which will generate Fermat Pseudo primes in different base system. Also, by fixing base-2, we find first poulet number and we show the first square type poulet number by suitable example and theorem.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128060265","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 Fuzzy Orders and Metrics 关于模糊阶数和度量
Bulletin of Mathematical Sciences and Applications Pub Date : 2014-06-02 DOI: 10.18052/WWW.SCIPRESS.COM/BSMASS.10.48
Vinayak E. Nikumbh
{"title":"On Fuzzy Orders and Metrics","authors":"Vinayak E. Nikumbh","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.10.48","DOIUrl":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.10.48","url":null,"abstract":"In this paper we present results regarding fixed point theory using notion of fuzzy orders.We propose an approach based on quasi metrics which in a way unifies the fixed point theory for ordered sets and metric spaces. is a map. A solution of such fixed point equations,when one exists,often has to be obtained by process of successive approximations.Order theory plays a role when X carries an order and when solution can be realized as joint of elements which approximates it. At some instances we find that fixed point theorems for ordered sets appear to be insufficient . In such cases , it is helpful to apply fixed point techniques in metric spaces. In this paper give some results in this direction. By using the notion of quasi metric spaces we prove a theorem simultaneously generalizing fixed point theorems for ordered structures and metric spaces.All results are interpreted in terms of fuzzy set theory.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130787693","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
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