共查询到18条相似文献,搜索用时 56 毫秒
1.
The authors give the existence results to the nonlinear differential inclusion u'(t) ∈ Au(t) F(t,ut), where A is a ganerator of equicontinuous semigroup and F is multivalued. 相似文献
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韩志清 《数学物理学报(B辑英文版)》1995,(1)
(韩志清)ODEsINBANACHSPACESANDFIXEDPOINTSOFWEAKLYINWARDMAPS¥HanZhiqing(Dept.ofMath.,ShandongUniv,Jinan266071,China)Abstract:Thisp... 相似文献
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S. Hu and Y. Sun[1] defined the fixed point index for weakly inward mappings, investigated its properties and studied fixed points for such mappings. In this paper, following S. Hu and Y. Sun, we further investigate boundary conditions, under which the fixed point index for i(A,Ω, p) is equal to nonzero, where i(A,Ω, p) is the completely continuous and weakly inward mapping. Correspondingly, we can obtain many new fixed point the-orems of the completely continuous and weakly inward mapping, which generalize... 相似文献
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S. Hu and Y. Sun[1] defined the fixed point index for weakly inward mappings, investigated its properties and studied fixed points for such mappings. In this paper, following S. Hu and Y. Sun, we further investigate boundary conditions, under which the fixed point index for i(A, Ω, p) is equal to nonzero, where i(A, Ω, p) is the completely continuous and weakly inward mapping. Correspondingly, we can obtain many new fixed point theorems of the completely continuous and weakly inward mapping, which generalize some famous theorems such as Rothe's theorem, Altman's theorem, Petryshyn's theorem etc. in the case of weakly inward mappings. In addition, our conclusions extend the famous fixed point theorem of cone expansion and compression to the case of weakly inward mappings. Moreover, the main results contain and generalize the corresponding results in the recent work[2]. 相似文献
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NONLINEAR EVOLUTION INCLUSIONS WITH ONE SIDE LIPSCHITZEAN IN BANACH SPACESXueXingmei(薛星美)&SongGuozhu(宋国柱)(NanjingUniversity)A... 相似文献
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The goal of the present paper is to investigate some new HUR-stability results by applying the alternative fixed point of generalized quartic functional equationin β-Banach modules on Banach algebras. The concept of Ulam-Hyers-Rassias stability (briefly, HUR-stability) originated from Th. M. Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300. 相似文献
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刘振海 《数学物理学报(B辑英文版)》2002,22(2)
IIntroductionConsider the initial value problemDtL干Au+1ugi.U<t<I,oh山)”w,where A is of of。s(S+)and F is a multivalued msp.If F is singl。vlued Hiranoti goteistence results for Fbeing compact.Ahmed and Xiang[21 extended Hirano’s results forFsatls州ngthat<Fu。,u。一U>-+ 0 lfunconverges wewyto h;While Liul3]e枕ended theabOV6 th6lltlollsd T6SllltS to COf正erpolldlllg ClAsS Of yatlatlollal ill6qttallt16s ld lfittodllC6d 8 hO16gmerdC0nd让ND th幼劝m比a bro劝0 d%sdpenurb砒… 相似文献
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PERTURBEDNONLINEAREVOLUTIONINCLUSIONSINBANACHSPACESXueXingmei(薛星美)(Dept.ofMath.andMech.,SoutheastUniv,Nanjing210018,China.)So... 相似文献
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BinayakS.Choudhury 《分析论及其应用》2003,19(2):99-107
In the present paper we introduce a random iteration scheme for three random operators defined on a closed and convex subset of a uniformly convex Banach space and prove its convergence to a common fixed point of three random operators. The result is also an extersion of a known theorem in the corresponding non-random case. 相似文献
10.
赵汉宾 《数学物理学报(B辑英文版)》1983,(2)
We obtained some fixed point theorems for average nonexpansive mappings.[1,2]The main purpose of the present paper is to extend our results to cases of generalized nonexpansive type mappings and common fixed point. 相似文献
11.
1Intr0ducti0nIllthisPaPerwestudythefordpointsandcouPledfiXedpointsofskewincreasing0PeratorsandtheiraPplicaion.LetXbeaBanachsPaCcwithapartialorderingintr0ducedbythcc0neK-LctF:X-Xbean0peraorinX.FiscaJledinCreasingifF2SFgf0raJl2Sy.Asiswellkllown,inthetheorerns0fhapointforincreasingoPerbo,thereisaninterestinginterreboi0nbetweenPr0pertiesofKandF,thatisThoorem1l1I'I2ILetXbeaBanachpee,partiaJlyorderedbythecolleKGX.Let[a,b]beanordeintervalandF:[a,b]- [a,b]increasin.ThenFhasabop0intif0… 相似文献
12.
非连续弱紧增算子的不动点及其对Banach空间初值问题的应用 总被引:8,自引:1,他引:7
证明了Banach空间上一类非连续的弱紧增算子的不动点定理,特别获得了最大不动点与最小不动点的存在性,改进了已有的某些结果.作为应用,讨论了Banach空间中含间断项的常微分方程初值问题最大解与最小解的存在性. 相似文献
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曾六川 《高等学校计算数学学报(英文版)》1999,(1)
In this paper, let K be a nonempty subset of a uniformly smooth Banach space X, and T:K→2~k be a multivalued operator of the monotone type. The iterative sequence which converges strongly to the unique fixed point of T is given. Our results are the extension and improvements of the results obtained previously by several authors including Dunn, Chidume, Deng and Ding. 相似文献
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We deal with anti-periodic problems for differential inclusions with nonmonotone perturbations. The main tools in our study are the maximal monotone property of the derivative operator with anti-periodic conditions and the theory of pseudomonotone perturbations of maximal monotone mappings. We then apply our results to evolution hemivariational inequalities and parabolic equations with nonmonotone discontinuities, which generalize and extend previously known theorems. 相似文献
18.
Banach空间中渐近非扩张型映象的Ishikawa迭代序列的收敛问题 总被引:3,自引:0,他引:3
文章研究了Banach空间中渐近非扩张型映象的具误差的修正Ishikawa迭代序列的收敛问题,所得结果改进和发展了文献[1-6]的相关结果。 相似文献