Pub Date : 2020-01-10DOI: 10.22541/au.158273394.45464645
M. Gabeleh, M. Asadi, E. Karapınar
We prove the best proximity point results for condensing operators on C-class of functions, by using a concept of measure of noncompactness. The results are applied to show the existence of a solution for certain integral equations. We express also an illsutrative examples to indicate the validity of the observed results.
{"title":"Best Proximity Results on Condensing Operators via Measure of Noncompactness with Application to Integral Equations","authors":"M. Gabeleh, M. Asadi, E. Karapınar","doi":"10.22541/au.158273394.45464645","DOIUrl":"https://doi.org/10.22541/au.158273394.45464645","url":null,"abstract":"We prove the best proximity point results for condensing operators on C-class of functions, by using a concept of measure of noncompactness. The results are applied to show the existence of a solution for certain integral equations. We express also an illsutrative examples to indicate the validity of the observed results.","PeriodicalId":45664,"journal":{"name":"Thai Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43470169","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}
Pub Date : 2019-12-05DOI: 10.24193/SUBBMATH.2019.4.08
Valdete Loku, N. Braha
In this paper, we use the notion of strong $(N, lambda^2)-$summability to generalize the concept of statistical convergence. We call this new method a $lambda^2-$statistical convergence and denote by $S_{lambda^2}$ the set of sequences which are $lambda^2-$statistically convergent. We find its relation to statistical convergence and strong $(N, lambda^2)-$summability. We will define a new sequence space and will show that it is Banach space. Also we will prove the second Korovkin type approximation theorem for $lambda^2$-statistically summability and the rate of $lambda^2$-statistically summability of a sequence of positive linear operators defined from $C_{2pi}(mathbb{R})$ into $C_{2pi}(mathbb{R}).$
{"title":"Lambda^2-statistical convergence and its applicationto Korovkin second theorem","authors":"Valdete Loku, N. Braha","doi":"10.24193/SUBBMATH.2019.4.08","DOIUrl":"https://doi.org/10.24193/SUBBMATH.2019.4.08","url":null,"abstract":"In this paper, we use the notion of strong $(N, lambda^2)-$summability to generalize the concept of statistical convergence. We call this new method a $lambda^2-$statistical convergence and denote by $S_{lambda^2}$ the set of sequences which are $lambda^2-$statistically convergent. We find its relation to statistical convergence and strong $(N, lambda^2)-$summability. We will define a new sequence space and will show that it is Banach space. Also we will prove the second Korovkin type approximation theorem for $lambda^2$-statistically summability and the rate of $lambda^2$-statistically summability of a sequence of positive linear operators defined from $C_{2pi}(mathbb{R})$ into $C_{2pi}(mathbb{R}).$","PeriodicalId":45664,"journal":{"name":"Thai Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42739138","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}
Pub Date : 2018-12-09DOI: 10.12988/ijcms.2014.39108
P. Singh
In this paper we prove common fixed point theorem for multivalued mappings generalizing and extending the result of Amini-hirandi
本文推广和推广了Amini-hirandi的结果，证明了多值映射的公共不动点定理
{"title":"A common fixed point theorem for contractive multivalued mappings","authors":"P. Singh","doi":"10.12988/ijcms.2014.39108","DOIUrl":"https://doi.org/10.12988/ijcms.2014.39108","url":null,"abstract":"In this paper we prove common fixed point theorem for multivalued mappings generalizing and extending the result of Amini-hirandi","PeriodicalId":45664,"journal":{"name":"Thai Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2018-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43407726","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}
Motivated by a number of recent investigations, we define and investigate the various properties of a class of pseudohyperbolic equation defined on purely integral (nonl ocal) conditions. We derive useful results involving this c lass including (for example) existence, uniqueness and continuous arising from the Laplace transform method. In addition, we make use of obtaining such a problem to solve the using a numerical technique (Stehfest algorithm) which provides to show the accuracy of the proposed method.
{"title":"Existence and Uniqueness for a Solution of Pseudohyperbolic equation with Nonlocal Boundary Condition","authors":"A. Merad, A. Bouziani, S. Araci","doi":"10.12785/AMIS/090423","DOIUrl":"https://doi.org/10.12785/AMIS/090423","url":null,"abstract":"Motivated by a number of recent investigations, we define and investigate the various properties of a class of pseudohyperbolic equation defined on purely integral (nonl ocal) conditions. We derive useful results involving this c lass including (for example) existence, uniqueness and continuous arising from the Laplace transform method. In addition, we make use of obtaining such a problem to solve the using a numerical technique (Stehfest algorithm) which provides to show the accuracy of the proposed method.","PeriodicalId":45664,"journal":{"name":"Thai Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66780003","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}
Let $ f : [0 ; 1]^3 rightarrow R$ be a measurable function. In many computer experiments, we estimate the value of $int _{[0,1]^3} f (x) dx$ , which is the mean $ mu = E ( f circ X ), where X is a uniform random vector on the unit hypercube $[0 ; 1]^3$ . In 1992 and 1993, Owen and Tang introduced randomized orthogonal arrays to choose the sampling points to estimate the integral. In this paper, we give a non-uniform concentration inequality for randomized orthogonal array sampling designs.
Let $ f: [0;1]^3 右列R$是一个可测函数。在许多计算机实验中，我们估计$int _{[0,1]^3} f (x) dx$的值，这是平均值$ mu = E (f circ x)，其中x是单位超立方体$[0]上的均匀随机向量;1) ^ 3美元。1992年和1993年，Owen和Tang引入随机正交阵列来选择采样点来估计积分。本文给出了随机正交阵列抽样设计的非均匀浓度不等式。
{"title":"A Non-uniform Concentration Inequality for Randomized Orthogonal Array Sampling Designs","authors":"K. Laipaporn, K. Neammanee","doi":"10.5539/JMR.V1N2P78","DOIUrl":"https://doi.org/10.5539/JMR.V1N2P78","url":null,"abstract":"Let $ f : [0 ; 1]^3 rightarrow R$ be a measurable function. In many computer experiments, we estimate the value of $int _{[0,1]^3} f (x) dx$ , which is the mean $ mu = E ( f circ X ), where X is a uniform random vector on the unit hypercube $[0 ; 1]^3$ . In 1992 and 1993, Owen and Tang introduced randomized orthogonal arrays to choose the sampling points to estimate the integral. In this paper, we give a non-uniform concentration inequality for randomized orthogonal array sampling designs.","PeriodicalId":45664,"journal":{"name":"Thai Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2009-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.5539/JMR.V1N2P78","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70799247","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}
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