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Lp Solutions of BSDEs with Non-Uniformly Linear Growth Generators and General Time Interval

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Journal of Mathematical Research with Applications 2016年第1期36卷 117-126页

作者： Gaojie LU Long JIANG Depeng LI Shengjun FAN Department of Mathematics Tongji Zhejiang College School of Sciences China University of Mining and Technology

In this paper, we establish the existence of the minimal L（p > 1） solution of backward stochastic differential equations（BSDEs） where the time horizon may be finite or infinite and the generators have a non-uniformly linear growth with respect to t. The main idea is to construct a sequence of solutions {（Y, Z）} which is a cauchy sequence in S× Mspace, and finally we prove {（Y, Z）} converges to the L（p > 1） solution of BSDEs.

关键词： BSDEs finite or infinite time interval non-uniformly linear growth generators cauchy sequence L~p(p > 1) solutions

A Cyclic Probabilistic C-Contraction Results using Hadzic and Lukasiewicz T-Norms in Menger Spaces

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Analysis in Theory and Applications 2015年第3期31卷 283-298页

作者： Binayak S.Choudhury Samir Kumar Bhandari Parbati Saha Department of Mathematics Indian Institute of Engineering Science and Technology Department of Mathematics Bajkul Milani MahavidyalayaKismat BajkulDist–Purba Medinipur Bajkul West Bengal–721655 India

In this paper, we introduce generalized cyclic C-contractions through p number of subsets of a probabilistic metric space and establish two fixed point results for such contractions. In our first theorem we use the Hadzic type t-norm. In our next theorem we use Lukasiewicz t-norm. Our results generalize the results of Choudhury and Bhandari [11]. A control function [3] has been utilized in our second theorem. The results are illustrated with some examples.

关键词： Menger space cauchy sequence fixed point φ-function ψ-function

UNIQUE COMMON FIXED POINT OF A FAMILY OF SELF-MAPS WITH SAME TYPE CONTRACTIVE CONDITION IN 2-METRIC SPACE

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Analysis in Theory and Applications 2008年第4期24卷 316-320页

作者： Yongjie Piao Yanbian University China

In this paper, we prove that a family of self-maps {Ti,j}i,j∈N in 2-metric space has a unique common fixed point if （i） {Ti,j}i,j∈N satisfies the same type contractive condition for each j ∈ N; （ii） Tm,μ .Tn,v = Tn,***.μ for all m,n,μ,v ∈ N with μ≠v. Our main result generalizes and improves many known unique common fixed point theorems in 2-metric spaces.

关键词： 2-metric space contractive condition cauchy sequence common fixed point

Caristi’s Fixed Point Theorem in G-Cone Metric Spaces and Application

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Advances in Pure Mathematics 2022年第4期12卷 271-282页

作者： Olusola Kayode Adewale Christiana Iluno Adenike Yeside Adetowubo Department of Mathematics University of Lagos Lagos Nigeria Department of Mathematics and Statistics Lagos State University of Science and Technology Ikorodu Nigeria

In this work, we introduce a few versions of Caristi’s fixed point theorems in G-cone metric spaces which extend Caristi’s fixed point theorems in metric spaces. Analogues of such fixed point theorems are proved in ... 详细信息

关键词： Caristi’s Fixed Point G-Cone Metric Spaces Unique Fixed Point cauchy sequence

EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A BACKWARD STOCHASTIC DIFFERENTIAL EQUATION

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Annals of Differential Equations 2013年第3期29卷 295-304页

作者： Wei Liu Fengying Wei Ke Wang Dept.of Math. Public Security Marine Police Academy College of Math.and Computer Sci. Fuzhou University Dept.of Math. Harbin Institute of Technology

A backward stochastic diferential equation is discussed in this paper. Under some weaker conditions than uniformly Lipschitzian condition given by Pardoux and Peng(1990), using Picard interaction and cauchy sequence, ... 详细信息

关键词： existence and uniqueness Picard iteration cauchy sequence backward stochastic diferential equation

COMPLETENESS FOR H_q~p(D) SPACE

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新疆大学学报(自然科学版) 1988年第3期 107-109页

作者： Xiao Jie Guizhou Normal University,Guiyang

Abstract Let D be arbitrary simply connected domain with at least two boundary *** have introduced a kind of analytic functions’ space H■V （D）（p≥1, q>0）and shown that it is a complete linear space with respec... 详细信息

关键词： simply connected domain Poincare metric cauchy sequence best approximation complete space

The Completeness of Cone Metric Spaces

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Chinese Quarterly Journal of Mathematics 2013年第4期28卷 565-572页

作者： LI Ke-dian Department of Mathematics and Information Science Zhangzhou Normal University Zhangzhou 363000China

Some topological properties of cone metric spaces are discussed and proved that every cone metric space （X, d） is complete if and only if every family of closed subsets of X which has the finite intersection propert... 详细信息

关键词： compactness completeness cauchy sequence cone metric space