共查询到20条相似文献,搜索用时 15 毫秒
1.
A. Aliouche 《Journal of Mathematical Analysis and Applications》2008,341(1):707-719
We prove a common fixed point theorem of Gregus type for four mappings satisfying a generalized contractive condition in metric spaces using the concept of weak compatibility which generalizes theorems of [I. Altun, D. Turkoglu, B.E. Rhoades, Fixed points of weakly compatible mappings satisfying a general contractive condition of integral type, Fixed Point Theory Appl. 2007 (2007), article ID 17301; A. Djoudi, L. Nisse, Gregus type fixed points for weakly compatible mappings, Bull. Belg. Math. Soc. 10 (2003) 369-378; A. Djoudi, A. Aliouche, Common fixed point theorems of Gregus type for weakly compatible mappings satisfying contractive conditions of integral type, J. Math. Anal. Appl. 329 (1) (2007) 31-45; P. Vijayaraju, B.E. Rhoades, R. Mohanraj, A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type, Int. J. Math. Math. Sci. 15 (2005) 2359-2364; X. Zhang, Common fixed point theorems for some new generalized contractive type mappings, J. Math. Anal. Appl. 333 (2) (2007) 780-786]. We prove also a common fixed point theorem which generalizes Theorem 3.5 of [H.K. Pathak, M.S. Khan, T. Rakesh, A common fixed point theorem and its application to nonlinear integral equations, Comput. Math. Appl. 53 (2007) 961-971] and common fixed point theorems of Gregus type using a strict generalized contractive condition, a property (E.A) and a common property (E.A). 相似文献
2.
A. Djoudi 《Journal of Mathematical Analysis and Applications》2007,329(1):31-45
We prove a common fixed point theorem of Gregus type for four mappings satisfying a contractive condition of integral type in metric spaces using the concept of weak compatibility which generalizes Theorem 2 of [A. Djoudi, L. Nisse, Gregus type fixed points for weakly compatible mappings, Bull. Belg. Math. Soc. 10 (2003) 369-378] and other papers. We prove also common fixed point theorems of Gregus type using a strict contractive condition of integral type, a property (E.A) and a common property (E.A) introduced by [M. Aamri, D. El Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270 (2002) 181-188] and [W. Liu, J. Wu, Z. Li, Common fixed points of single-valued and multi-valued maps, Int. J. Math. Math. Sci. 19 (2005) 3045-3055], respectively. 相似文献
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关于渐近拟非扩展型映象不动点的迭代逼近问题 总被引:1,自引:1,他引:1
在新型条件下研究了Banach空间中渐近拟非扩展型映象不动点的迭代逼近问题;所得结果补充和推广了文[1-3]等人的相应成果. 相似文献
5.
Cheng-Kui Zhong Jiang Zhu Pei-Hao Zhao 《Proceedings of the American Mathematical Society》2000,128(8):2439-2444
A class of new multi-valued contraction mappings is presented. Under the new contractive conditions, some fixed point theorems for multi-valued self-mappings and nonself-mappings are proved.
6.
Let K be a nonempty closed convex subset of a real Banach space E which has a uniformly Gâteaux differentiable norm and be a nonexpansive mapping with F(T):={x∈K:Tx=x}≠∅. For a fixed δ∈(0,1), define by Sx:=(1−δ)x+δTx, ∀x∈K. Assume that {zt} converges strongly to a fixed point z of T as t→0, where zt is the unique element of K which satisfies zt=tu+(1−t)Tzt for arbitrary u∈K. Let {αn} be a real sequence in (0,1) which satisfies the following conditions: ; . For arbitrary x0∈K, let the sequence {xn} be defined iteratively by
xn+1=αnu+(1−αn)Sxn. 相似文献
7.
Lj. B. iri Lj. B. iri Lj. B. iri N. T. Nikoli N. T. Nikoli N. T. Nikoli Ume J. S. Ume J. S. Ume J. S. 《Acta Mathematica Hungarica》2006,113(4):257-267
Summary Recently, Pathak [13] has made an extension of the notion of compatibility to weak compatibility, and extended the coincidence
theorem for compatible mappings in Kaneko and Sessa [11] to weakly compatible mappings [13]. In the present paper, we define
a new class of weakly compatible mappings (Definition 4) and prove some common fixed point theorems for these mappings, which
satisfy Condition (2) below. Although our main theorem is formulated for weakly compatible mappings, its corresponding formulation
for commutative mappings is also a new result, thus presenting a generalization of some theorems of Fisher, Das and Naik,
Khan and Kubiaczyk, Reich, Ćirić and Rhoades and Watson. 相似文献
8.
Wutiphol Sintunavarat Poom Kumam 《Applied Mathematics Letters》2012,25(1):52-57
In this paper, we introduce the notion of a hybrid generalized multi-valued contraction mapping and establish the common fixed point theorem for this mapping. Our results generalize, unify, extend and complement several common fixed point theorems of many authors in the literature. 相似文献
9.
In this paper, we extend a multi-valued contraction mapping to a cyclic multi-valued contraction mapping. We also establish the existence of common fixed point theorem for a cyclic multi-valued contraction mapping. Our results extend, generalize and unify Nadler’s multi-valued contraction mapping and many fixed point theorems for multi-valued mappings. 相似文献
10.
In this paper we prove some common fixed point theorems for fuzzy contraction respect to a mapping, which satisfies a condition
of weak compatibility. We deduce also fixed point results for fuzzy contractive mappings in the sense of Gregori and Sapena.
The authors are supported by Università degli Studi di Palermo, R. S. ex 60%. 相似文献
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Fixed point results for mappings f and g are obtained where f and g are related in the sense of Das and Naik, ?iri?, Hardy and Rogers, and all are of Perov type. We consider both normal and non‐normal cones. The theory is illustrated with some examples. 相似文献
13.
(渐近)非扩张映象的不动点的迭代逼近 总被引:9,自引:0,他引:9
ZengLuchuan 《高校应用数学学报(英文版)》2001,16(4):402-408
Let E be a uniformly convex Banach space which satisfies Opial‘s condition or has aFrechet differentiable norm,and C be a bounded closed convex subset of E. If T: C→C is(asymptotically)nonexpansive,then the modified Ishikawa iteration process defined by 相似文献
14.
C. E. Chidume Jinlu Li A. Udomene 《Proceedings of the American Mathematical Society》2005,133(2):473-480
Let be a real Banach space with a uniformly Gâteaux differentiable norm possessing uniform normal structure, be a nonempty closed convex and bounded subset of , be an asymptotically nonexpansive mapping with sequence . Let be fixed, be such that , , and . Define the sequence iteratively by , n= 0, 1, 2, ..._. $"> It is proved that, for each integer , there is a unique such that If, in addition, and , then converges strongly to a fixed point of .
15.
Ljubomir B. Ćirić 《Czechoslovak Mathematical Journal》1999,49(4):891-899
In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.27. march 80 相似文献
16.
Let X be a reflexive and smooth real Banach space which has a weakly sequentially continuous duality mapping. In this paper, we consider the following viscosity approximation scheme xn+1=λn+1f(xn)+(1−λn+1)Tn+1xn (where f is a generalized contraction mapping) for infinitely many nonexpansive self-mappings T1,T2,T3,… in X. We establish a strong convergence result which generalizes some results in the literature. 相似文献
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18.
Xian Zhang 《Journal of Mathematical Analysis and Applications》2007,333(2):780-786
In this paper, some new generalized contractive type conditions for a pair of mappings in metric space are defined. Some common fixed point results for these mappings are presented. 相似文献
19.
Approximate fixed points for discontinuous set-valued mappings 总被引:1,自引:0,他引:1
20.
We study the existence of fixed points in the context of uniformly convex geodesic metric spaces, hyperconvex spaces and Banach spaces for single and multivalued mappings satisfying conditions that generalize the concept of nonexpansivity. Besides, we use the fixed point theorems proved here to give common fixed point results for commuting mappings. 相似文献