共查询到20条相似文献,搜索用时 500 毫秒
1.
TRANSFEROPENORCLOSEDSETVALUEDMAPPINGANDGENERALIZ-ATIONOFH-KKMTHEOREMWITHAPPLICATIONSLiBing-you(李秉友);SuJia-bao(苏家宝)(Department... 相似文献
2.
In this paper,the Knaster-Karatowski-Mazurkiewicz technique(KKM technique,in short)is presented.By using this technique a new alternative theorem and a new coincidence theorem are established.The results obtained in this paper unify and generalize the corresponding results in the recent works. 相似文献
3.
Section theorems,coincidence theorems and intersection theorems on H-spaces with applications 总被引:3,自引:0,他引:3
The purpose of this paper is to study the section theorems, coincidence theorems and intersection theorems on H-spaces. As a way of application, we use these results to study the existence problems of solutions for minimax inequalities and variational inequalities. The results presented in this paper improve and extend the corresponding results in [1, 3, 5, 6, 8, 9, 12, 14,15, 17] 相似文献
4.
罗元松 《应用数学和力学(英文版)》2001,22(4):478-482
IntroductionandPreliminariesThroughoutthispaper,weassumethatHisarealHilbertspace ,〈· ,·〉istheinnerproductonH ,PisaconeinH .ByvirtueofthecomeP ,anorder“≤”isinducedinH ,i.e .,foranygivenx,y∈H ,x≤yifandonlyify -x∈P .Amulti_valuedmappingA :D(A) H → 2 Hissaidtobeaccretiv… 相似文献
5.
Yun Tian-quan 《应用数学和力学(英文版)》1980,1(1):121-131
Let the concentrated forces and the centers of pressure with unknown density functions x(ξ) and y(ξ) respectively be distributed along the axis z outside the solid, then one can reduce an axismmetric loading problem of solids of revolution to two simultaneous Fredholm integral equations. An iteration method for solving such equations is duscussed. A lemma equivalent to E. Rakotch’s contractive mapping theorem and a theorem concerning the convergent proof of the iteration method are presented. 相似文献
6.
The existence of solutions to the Signorini problem with Coulomb friction is a long standing open question. We prove the existence
of generalized solutions that satisfy the pointwise Coulomb friction conditions on the entire interface and the normal nonpenetration
condition on the complement of a subset with arbitrarily small but possibly positive measure. Furthermore, the penetration
itself can also be made arbitrarily small. Although “measure zero” instead of “arbitrarily small measure” would be needed
to fully resolve the issue, these generalized solutions seem to be the closest answer available to date. Their existence is
proved by a suitable application of Ky Fan's fixed point theorem for multi-valued maps. The same method can be used with a
number of variants involving contact of two or more elastic bodies and possible debonding phenomena.
This revised version was published online in August 2006 with corrections to the Cover Date. 相似文献
7.
云天铨 《应用数学和力学(英文版)》2001,22(10):1132-1139
IntroductionManystudieshavebeendoneoncontractivemappings,e .g .,Rhoades[1]madeacomparisonofvariousdefinitions (morethan 1 0 0typesvariedfrom 2 5basictypes)ofcontractivemappingoncompletemetricspacein 1 977.Anduptonow ,suchstudyisstillgoingon ,e .g .,[2 ] .Inthispaper,these… 相似文献
8.
In the present paper we-discuss the variational problem of operator which maps aHausdorff topological linear space into a Riesz space.We give absolute inequality andrelative inequality.respectively. 相似文献
9.
From the second gradient operator and second class of integral theorems to Gaussian or spherical mapping invariants 总被引:1,自引:0,他引:1
By combining of the second gradient operator, the second class of integral theorems, the Gaussian-curvature-based integral theorems and the Gaussian (or spherical) mapping, a series of invariants or geometric conservation quantities under Gaussian (or spherical) mapping are revealed. From these mapping invariants important transformations between original curved surface and the spherical surface are derived. The potential applications of these invariants and transformations to geometry are discussed 相似文献
10.
Fredholm and Compact Mappings Sharing a Value 总被引:3,自引:1,他引:2
J.M.Soriano 《应用数学和力学(英文版)》2001,22(6):682-686
1 PreliminariesInthispaper,weassumethatX ,YandZareBanachspacesoverK =RorK =C .OnemethodtosolvetheequationF(x) =0 ( 1 )isthecontinuationmethod[1- 10 ].Thismethodconsistsofembedding ( 1 )inacontinuumofproblemsH(t,x) =0 , 0 ≤t≤ 1 ,( 2 )where ( 2 )iseasilysolvedwhent=0 .Ifitispossible… 相似文献
11.
Nonempty intersection theorems and system of generalized vector equilibrium problems in product G-convex spaces 总被引:1,自引:0,他引:1
丁协平 《应用数学和力学(英文版)》2004,25(6):618-626
By using an existence theorems of maximal elements for a family of set-valued mappings in G-convex spaces due to the author, some new nonempty intersection theorems for a family of set-valued mappings were established in noncompact product G-convex spaces. As applications, some equilibrium existence theorems for a system of generalized vector equilibrium problems were proved in noncompact product G-convex spaces. These theorems unify, improve and generalize some important known results in literature. 相似文献
12.
1IntroductionandPreliminariesIn1968,Browder[1]provedthefollowingtheorem.Theorem11(Browder[1]) LetEbeaHausdorfftopologicallinearspace,XacompactconvexsubsetofEandF:X→2Xamappingsatisfyingthefollowingconditions:ⅰ)Foranyx∈X,F(x)isnonemptyandconvex;ⅱ)Fora… 相似文献
13.
The geometric formulation of motion of the first-order linear homogenous scleronomous nonholonomic system subjected to active forces is studied with the nonholonomic mapping theory. The quasi-Newton law, the quasi-momentum theorem, and the second kind Lagrange equation of dynamical systems are obtained in the Riemann-Cartan configuration spaces. By the nonholonomic mapping, a Euclidean configuration space or a Riemann configuration space of a dynamical system can be mapped into a Riemann-Cartan configuration space with torsion. The differential equations of motion of the dynamical system can be obtained in its Riemann-Cartan configuration space by the quasi-Newton law or the quasi-momentum theorem. For a constrained system, the differential equations of motion in its Riemann-Cartan configuration space may be simpler than the equations in its Euclidean configuration space or its Riemann configuration space. Therefore, the nonholonomic mapping theory can solve some constrained problems, which are difficult to be solved by the traditional analytical mechanics method. Three examples are given to illustrate the effectiveness of the method. 相似文献
14.
Inthisliterature [1 ] ,[2 ]order 0~ 4isotropicdescartestensor’sexistenceanditsgeneralrepresentationformulaarediscussed .Withregardtoorderk ≥ 5(descartestensororaffineorthogonaltensor) ,thenumber (3 k)ofitscomponentsisverybig ,anditsstructureisverycomplicated ,sonopa… 相似文献
15.
TOPOLOGICALVERSIONOFSECTIONTHEOREMSWITHAPPLICATIONSZhangShi-sheng(张石生)(SichuanUniversity,Chengdu)WuXian(吴鲜)(ZhaotongTeacher’s... 相似文献
16.
I.IntroductionFanKyinequalityisaveryusefultoolinnoolinearanalysiswhichasserts:LetXbeanonemptycompactconvexsetinatopologicallinearspaceandWbeareal-valuedfunctiondefinedonXxX.Assumethat(i)9(x,y)islowersemicontinuousinac;(n)9(x,y)isquasiconcaveiny.ThenthereisboaXsuchthatsHPg(xo'Y)$sZPp(x,x).SinceFanKyprovedtheinequalityin1972,variousg...,.li..tlon,havebeen;v..byseveralauthors(see[l-3]andreferencestherein).Thepreviousgeneralizationsallremainedtheconditions(i)-'9(x,y)beinglowersemicontinuous… 相似文献
17.
A well known chaotic mapping in symbol space is a shift mapping.However,other chaotic mappings in symbol space exist too.The basic change is to consider the process not only at a set of times which are equally spaced,say at unit time apart(a shift mapping),but at a set of times which are not equally spaced,say if the unit time can not be fixed.The increasing mapping as a generalization of the shift mapping and the k-switch mapping are introduced.The increasing and k-switch mappings are chaotic. 相似文献
18.
In this paper,the class of uniform limit mappings of set-valued,strick set-contractivemappings is discussed.Furthermore,the fixed point index theory for the uniform limitmappings is established.Using the fixed point index theory,some positive fixed pointtheorems are proved.Our theorems generalize some results in[1,4,5,7]. 相似文献
19.
ONACLASSOFNEWKKMTHEOREMWITHAPPLICATIONSZhangShisheng(张石生),ZhangXian(张宪)(ReceivedMay15,1995)Abstract:Inthispaper,aclassofnewKK... 相似文献
20.
The uniqueness theorem and the theorem of reciprocity in the linearized porous piezoelectricity are established under the
assumption of positive definiteness of elastic and electric fields. General theorems in the linear theory of porous piezoelectric
materials are proved for the quasi-static electric field approximation. The uniqueness theorem is also proved without using
the positive definiteness of the elastic field. An eigenvalue problem associated with free vibrations of a porous piezoelectric
body is studied using the abstract formulation. Some properties of operators are also proved. The problem of frequency shift
due to small disturbances, based on an abstract formulation, is studied using a variational and operator approach. A perturbation
analysis of a special case is also given. 相似文献