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1.
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
2.
We present a common fixed point theorem for generalized asymptotically nonexpansive and noncommuting mappings in normed linear
spaces.
相似文献
3.
《Journal of the Egyptian Mathematical Society》2014,22(2):258-264
Sintunavarat and Kumam (W. Sintunavarat, P. Kumam, Gregus-type common fixed point theorems for tangential multi-valued mappings of integral type in metric spaces, Int. J. Math. Math. Sci. 2011 12 (Article ID 923458)) extended the tangential property to hybrid pair of mappings which generalizes the idea of tangential property due to Pathak and Shahzad (H.K. Pathak, N. Shahzad, Gregus type fixed point results for tangential mappings satisfying contractive conditions of integral type, Bull. Belg. Math. Soc. Simon Stevin 16(2) (2009) 277–288). In the present paper, we introduce the notion of strong tangential property and utilize the same to prove an integral type metrical common fixed point theorem for non-self mappings. An illustrative example is also furnished to support our main result. Our results are corrected, improved and generalized versions of a multitude of relevant common fixed point theorems of the existing literature. 相似文献
4.
《Applied Mathematics Letters》2007,20(5):563-570
In this paper we prove an existence theorem for the common solutions for a pair of integral inclusions via a common fixed point theorem of Dhage et al. [B.C. Dhage, D. O’Regan, R.P. Agarwal, Common fixed point theorems for a pair of countably condensing mappings in ordered Banach spaces, J. Appl. Math. Stoch. Anal. 16 (3) (2003) 243–248]. 相似文献
5.
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
6.
7.
Bessem Samet Calogero Vetro 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(12):4260-4268
In this paper, we establish two coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces. The theorems presented extend some results due to ?iri? (2009) [3]. An example is given to illustrate the usability of our results. 相似文献
8.
A. Anthony Eldred P. Veeramani 《Journal of Mathematical Analysis and Applications》2007,336(2):751-757
We consider two generalizations of Nadler's theorem, one proved by Mizoguchi and Takahashi in response to the Reich conjecture and another theorem proved by Kaneko. We show that due to the additional conditions of these theorems the given multi-valued map reduces to a multi-valued contraction map. We prove this result by showing that the orbit of the multi-valued map is bounded under the contractive conditions of the two generalizations. 相似文献
9.
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.
10.
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
11.
David Ariza-Ruiz 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(5):1628-1640
In [5], Zamfirescu (1972) gave a fixed point theorem that generalizes the classical fixed point theorems by Banach, Kannan, and Chatterjea. In this paper, we follow the ideas of Dugundji and Granas to extend Zamfirescu’s fixed point theorem to the class of weakly Zamfirescu maps. A continuation method for this class of maps is also given. 相似文献
12.
Common fixed point results for noncommuting mappings without continuity in generalized metric spaces
Using the setting of a generalized metric space, a fixed point theorem is proved for one map, and several fixed point theorems are proved for two maps. These results generalize several well known comparable results in the literature. 相似文献
13.
In this paper, the famous Banach contraction principle and Caristi's fixed point theorem are generalized to the case of multi-valued mappings. Our results are extensions of the well-known Nadler's fixed point theorem [S.B. Nadler Jr., Multi-valued contraction mappings, Pacific J. Math. 30 (1969) 475-487], as well as of some Caristi type theorems for multi-valued operators, see [N. Mizoguchi, W. Takahashi, Fixed point theorems for multivalued mappings on complete metric spaces, J. Math. Anal. Appl. 141 (1989) 177-188; J.P. Aubin, Optima and Equilibria. An Introduction to Nonlinear Analysis, Grad. Texts in Math., Springer-Verlag, Berlin, 1998, p. 17; S.S. Zhang, Q. Luo, Set-valued Caristi fixed point theorem and Ekeland's variational principle, Appl. Math. Mech. 10 (2) (1989) 111-113 (in Chinese), English translation: Appl. Math. Mech. (English Ed.) 10 (2) (1989) 119-121], etc. 相似文献
14.
15.
Felix E. Browder 《Mathematische Annalen》1968,177(4):283-301
16.
In this work, we study some new common fixed point results for generalized contractive multi-valued non-self-mappings on complete metric spaces. 相似文献
17.
Afif Ben Amar 《Annali dell'Universita di Ferrara》2012,58(1):1-10
In this work, using an analogue of Sadovskii’s fixed point result for multi-valued mappings with weakly sequentially closed
graph, we prove new multi-valued analogues of Krasnoselskii fixed point theorem for mappings with weakly sequentially closed
graph and under weak topology features. The main condition in our results is formulated in terms of axiomatic measures of
weak noncompactness. 相似文献
18.
We prove the existence of a fuzzy common fixed point of two mappings satisfying a generalized contractive condition. Our results provide extensions as well as substantial improvements of several well known results from the existing literature. 相似文献
19.
Dragan ori 《Applied Mathematics Letters》2009,22(12):1896-1900
In this paper we introduce the class of generalized (ψ,φ)-weak contractive mappings. We establish that these mappings necessarily have a unique common fixed point in complete metric spaces. This result generalizes an existing result in metric spaces. 相似文献
20.
We prove some common fixed point results for four mappings satisfying generalized weak contractive condition in partially ordered complete b-metric spaces. Our results extend and improve several comparable results in the existing literature 相似文献