共查询到20条相似文献,搜索用时 312 毫秒
1.
Liang Yu LUAN Xian WU 《数学学报(英文版)》2005,21(5):1027-1034
In the present paper, some new almost fixed point theorems and fixed point theorems for lower semicontinuous type multivalued mappings are obtained in metrizable H-spaces. 相似文献
2.
Chi-Ming Chen 《Journal of Mathematical Analysis and Applications》2006,323(2):1231-1237
In this paper, first part, we establish some fixed point theorems for a k-set contraction map on the nearly-subadmissible subsets of a complete metric space. The second part, we deduce a generalization of the approximate fixed point theorem for the lower semicontinuous mappings on a metric space. 相似文献
3.
In this paper, we first establish the existence theorems of generalized vector quasi-equilibrium problems. From these results, we establish the existence theorems of common fixed point theorems for two multivalued maps and mathematical programs with an equilibrium constraint as applications. 相似文献
4.
Xian Wu Bevan Thompson George X. Yuan 《Journal of Mathematical Analysis and Applications》2002,276(1):80-89
In the present paper, we establish two fixed point theorems for upper semicontinuous multivalued mappings in hyperconvex metric spaces and apply these to study coincidence point problems and minimax problems. 相似文献
5.
本文在H-空间中建立了上半连续集值映象的一个新的不动点定理,作为应用,得到了两个新的拟变分不等式的解的存在性定理。 相似文献
6.
7.
Rodica Brânzei Vincenzo Scalzo 《Journal of Mathematical Analysis and Applications》2003,285(2):619-628
In this paper some new approximate fixed point theorems for multifunctions in Banach spaces are presented and a method is developed indicating how to use approximate fixed point theorems in proving the existence of approximate Nash equilibria for non-cooperative games. 相似文献
8.
证明了局部凸空间中非凸集上的上半连续凝集值映射的一个Leray-Schauder型不动点定理,并推广了一些已知的不动点定理。 相似文献
9.
Lai-Jiu Lin Zenn-Tsuen Yu Li-Ping Lai 《Journal of Mathematical Analysis and Applications》2003,284(2):656-671
In this paper, we establish some fixed point theorems for a family of multivalued maps under mild conditions. By using our fixed point theorems, we derive some maximal element theorems for a particular family of multivalued maps, namely the Φ-condensing multivalued maps. As applications of our results, we prove some general equilibrium existence theorems in the generalized abstract economies with preference correspondences. Further applications of our results are also given to minimax inequalities for a family of functions. 相似文献
10.
Jack T. Markin 《Journal of Mathematical Analysis and Applications》2006,321(2):862-866
We prove a continuous selection theorem for quasi-lower semicontinuous mappings with values that are closed sub-admissible subsets of a hyperconvex metric space and apply this result to obtain fixed point theorems in these spaces. 相似文献
11.
Wei-Shih Du 《Topology and its Applications》2012,159(1):49-56
Several characterizations of MT-functions are first given in this paper. Applying the characterizations of MT-functions, we establish some existence theorems for coincidence point and fixed point in complete metric spaces. From these results, we can obtain new generalizations of Berinde-Berinde?s fixed point theorem and Mizoguchi-Takahashi?s fixed point theorem for nonlinear multivalued contractive maps. Our results generalize and improve some main results in the literature. 相似文献
12.
A note on cone metric fixed point theory and its equivalence 总被引:1,自引:0,他引:1
Wei-Shih Du 《Nonlinear Analysis: Theory, Methods & Applications》2010,72(5):2259-2261
The main aim of this paper is to investigate the equivalence of vectorial versions of fixed point theorems in generalized cone metric spaces and scalar versions of fixed point theorems in (general) metric spaces (in usual sense). We show that the Banach contraction principles in general metric spaces and in TVS-cone metric spaces are equivalent. Our theorems also extend some results in Huang and Zhang (2007) [L.-G. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007) 1468-1476], Rezapour and Hamlbarani (2008) [Sh. Rezapour, R. Hamlbarani, Some notes on the paper Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 345 (2008) 719-724] and others. 相似文献
13.
Sehie Park 《Topology and its Applications》2008,155(8):861-870
Applying some of Ernest Michael's selection theorems, from recent fixed point theorems on u.s.c. multimaps, we deduce generalizations of the classical Bolzano theorem, several fixed point theorems on multimaps defined on almost convex sets, almost fixed point theorems, coincidence theorems, and collectively fixed point theorems. These results are related mainly to Michael maps, that is, l.s.c. multimaps having nonempty closed convex values. 相似文献
14.
Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces 总被引:1,自引:0,他引:1
V. Lakshmikantham Ljubomir iri 《Nonlinear Analysis: Theory, Methods & Applications》2009,70(12):4341-4349
We introduce the concept of a mixed g-monotone mapping and prove coupled coincidence and coupled common fixed point theorems for such nonlinear contractive mappings in partially ordered complete metric spaces. Presented theorems are generalizations of the recent fixed point theorems due to Bhaskar and Lakshmikantham [T.G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. TMA 65 (2006) 1379–1393] and include several recent developments. 相似文献
15.
Jang Hyun Jo 《Journal of Fixed Point Theory and Applications》2018,20(4):144
We present some fixed point theorems and common fixed point theorems which generalize and unify previous known results. 相似文献
16.
Combining some branches is a typical activity in different fields of science, especially in mathematics. Naturally, it is notable in fixed point theory. Over the past few decades, there have been a lot of activity in fixed point theory and another branches in mathematics such differential equations, geometry and algebraic topology. In 2006, Espinola and Kirk made a useful contribution on combining fixed point theory and graph theory. Recently, Reich and Zaslavski studied a new inexact iterative scheme for fixed points of contractive and nonexpansive multifunctions. In this paper, by using main idea of their work and the idea of combining fixed point theory and graph theory, we present some iterative scheme results for G-contractive and G-nonexpansive mappings on graphs. 相似文献
17.
Some geometric conditions which imply the fixed point property for multivalued nonexpansive mappings
B. Gavira 《Journal of Mathematical Analysis and Applications》2008,339(1):680-690
We show some geometric conditions on a Banach space X concerning the modulus of smoothness, the coefficient of weak orthogonality, the coefficient R(a,X), the James constant and the Jordan-von Neumann constant, which imply the existence of fixed points for multivalued nonexpansive mappings. These fixed point theorems improve some previous results and give affirmative answers to some open questions. 相似文献
18.
In this paper, we prove some fixed point theorems for generalized contractions in the setting of G-metric spaces. Our results extend a result of Edelstein [M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc., 37 (1962), 74–79] and a result of Suzuki [T. Suzuki, A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 (2009), 5313–5317]. We prove, also, a fixed point theorem in the setting of G-cone metric spaces. 相似文献
19.
A. Roldán J. Martínez-Moreno C. Roldán 《Journal of Mathematical Analysis and Applications》2012,396(2):536-545
In this paper we propose a notion of coincidence point between mappings in any number of variables and we prove some existence and uniqueness fixed point theorems for nonlinear mappings verifying different kinds of contractive conditions and defined on partially ordered metric spaces. These theorems extend and clarify very recent results that can be found in [T. Gnana-Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (7)(2006) 1379–1393], [V. Berinde, M. Borcut, Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal. 74 (2011) 4889–4897] and [M. Berzig, B. Samet, An extension of coupled fixed point’s concept in higher dimension and applications, Comput. Math. Appl. 63 (8) (2012) 1319–1334]. 相似文献
20.
We present a multivalued nonlinear fixed point theorem in an E-metric space introducing the concept of strict positivity in a Riesz space. Our result extends some well-known fixed point theorems obtained by J. Matkowski, R. W?grzyk, R. Cristescu, and C. Çevik, I. Altun. 相似文献