Báo cáo hóa học: "Fixed point theory for the cyclic weaker Meir-Keeler function in complete metric spaces" ppt

... below). For information about publishing your research in Fixed Point Theory and Applications go to http://www.fixedpointtheoryandapplications.com/authors/instructions/ For information about other ... for t ∈ [0, ∞), and ϕ :[0, ∞) → [0, ∞) by ϕ(t)= 1 2 t for t ∈ [0, ∞). Then f is a cyclic weaker φ ◦ ϕ-contraction and (0, 0, 0) is the unique fixed point. 3 Fixed point t...

Ngày tải lên: 21/06/2014, 20:20

... coincidence point u = 4. Note that u is also a fixed point of T since S = T, and R is the identity mapping. Nashine et al. Fixed Point Theory and Applications 2011, 2011:5 http://www.fixedpointtheoryandapplications.com/content/2011/1/5 Page ... fixed point. Letting (t)=t in Theorem 1.2, we retrieve immediately the Banach contraction principle. Nashine et al. Fixed Point Th...

Ngày tải lên: 21/06/2014, 02:20

... Tx) = 0 and, therefore, x is a fixed point of T. Finally, to prove the uniqueness of the fixed point, we have y, z Î X with y and z fixed points of T. The cyclic character of T and the fact that ... contraction principle in metric spaces. Fixed Point Theory Appl 2008 (2008). Article ID 406368 doi:10.1186/1687-1812-2011-69 Cite this article as: Karapinar and Sadarangani: F...

Ngày tải lên: 20/06/2014, 22:20

... paper is to present a fixed point theory for multivalued -contractions using the following concepts: fixed points, strict fixed points, periodic points, strict periodic points, mul tivalued Picard ... generalize some recent theorems given in Petruşel and Rus (The theory of a metric fixed point theorem for multivalued operators, Proc. Ninth International Conference on Fixed...

Ngày tải lên: 21/06/2014, 00:20

... j−1   , (2.14) 104 Convergence to common fixed point The author thinks this theorem is one of the most interesting convergence theorems for families of nonexpansive mappings. In the case of k = 4, this iteration ... natural problem whether or not there exists an iteration to find a common fixed point for in nite families of commuting nonexpansive mappings without assuming the...

Ngày tải lên: 23/06/2014, 00:20

... mapping of C into itself has a fixed point in C. Since the class of asymptotic TJ mappingscontainstheclassof Lin et al. Fixed Point Theory and Applications 2011, 2011:51 http://www.fixedpointtheoryandapplications.com/content/2011/1/51 Page ... fixed point in C. 3 Main results In this section, we study the fixed point theorems, ergodic theorems , demiclosed prin- ciples, an...

Ngày tải lên: 20/06/2014, 22:20

... ≥ 2 Thus, the inequality (20) holds, so does the inequality (19). Therefore, all the conditions of Theorem 2.1 are satisfied. Applying Theorem 2.1, we conclude that T has a fixed point in X. Notice ... (0,1). Therefore, Corollary 2.2 is a generalization of Theorem 1.6, so is Theorem 2.1. Now, we shall prove the uniqueness of the fixed point. Theorem 2.4. In addition to the...

Ngày tải lên: 21/06/2014, 00:20

... mapping of C into itself has a fixed point in C. Since the class of asymptotic TJ mappingscontainstheclassof Lin et al. Fixed Point Theory and Applications 2011, 2011:51 http://www.fixedpointtheoryandapplications.com/content/2011/1/51 Page ... fixed point in C. 3 Main results In this section, we study the fixed point theorems, ergodic theorems , demiclosed prin- ciples, an...

Ngày tải lên: 21/06/2014, 00:20

... presenting most of the up-to-date results in the literature [3, 5, 6, 7, 8, 12] concerning fixed point theory in extension-type spaces. These results are then used to obtain a number of new fixed point ... contained in a Hausdorff topological vector space. Then T is a retract of span(T). Remark 1.6. From Theorem 1.4 in proving the existence of fixed points in uniform spaces...

Ngày tải lên: 23/06/2014, 00:20

... Fixed point theorems for compatible multi-valued and single-valued mappings, Int. J. Math. Math. Sci. 12 (1989), no. 2, 257–262. FIXED POINT THEOREMS FOR A FAMILY OF HYBRID PAIRS OF MAPPINGS IN METRICALLY ... 10.1155/FPTA.2005.281 290 Hybrid fixed point theorems in metrically convex spaces In the next theorem, we utilize the closedness of TK and SK to replace the continui...

Ngày tải lên: 23/06/2014, 00:20