Báo cáo hóa học: " EXISTENCE OF FIXED POINTS ON COMPACT EPILIPSCHITZ SETS WITHOUT INVARIANCE CONDITIONS" doc

... point of f and T iff fx Î Tx. The set of all coincidence points of f and T is denoted by C(f, T). 3. A point x Î X is a common fixed point of f and T iff x = fx Î Tx. The set of all common fixed points ... type fixed point results for tangential mappings satisfying contractive conditions of integral type. Bull Belg Math Soc Simon Stevin. 16, 277–288 (2009) 20. Jungck, G:...

Ngày tải lên: 21/06/2014, 03:20

... Δ 2 -type condition, and C is a nonempty ρ-bounded subset of the modular function space L ρ .We denote that CC is a collection of all nonempty ρ-closed subsets of C,andKC is a collection of all nonempty ... Edelstein, On fixed and periodic points under contractive mappings,” Journal of the London Mathematical Society, vol. 37, pp. 74–79, 1962. 3 S. Kasahara, On some general...

Ngày tải lên: 21/06/2014, 20:20

... d.Let 2 X ,ClX,andCBX denote the collection of nonempty subsets of X, nonempty closed subsets of X, and nonempty closed bounded subsets of X, respectively. Let H be the Hausdorff metric on CBX,thatis, HA, Bmax  sup x∈A dx, ... multivalued contraction maps which in turn is a generalization of the well- known Banach contraction principle. Theorem 1.1 see 1. Let X be a...

Ngày tải lên: 22/06/2014, 11:20

... fixed points of f lie in C, then the fixed point sets of f and of πf C consist of the same points. Moreover, the fixed point index of each fixed point is the same whether we view it as a fixed point of ... those of Section 4, their Nielsen numbers can differ by an arbitrarily large amount. Section 6 presents the proof of a technical lemma from Section 4. This paper is the fruit...

Ngày tải lên: 22/06/2014, 11:20

... Hyers, On the stability of the linear functional equation,” Proceedings of the National Academy of Sciences of the United States of America, vol. 27, no. 4, pp. 222–224, 1941. 3 T. Aoki, On the ... problem of functional equations originated from a question of Ulam 1 concerning the stability of group homomorphisms. Hyers 2 gave a first affirmative partial answer to the que...

Ngày tải lên: 22/06/2014, 11:20

... is a contradiction. So Tu = u. Similarly Su = u. Then, evidently from (2.32), u is a common fi xed point of A, B, S,andT. The uniqueness of the common fixed point follows easily from condition (ii). Remark ... 05/2006-16. 8 Fixed Point Theory and Applications References [1] A. Branciari, “A fixed point theorem for mappings satisfying a general contractive condition of integral type,” Int...

Ngày tải lên: 22/06/2014, 19:20

... comparison of 25 contraction conditions,” Nonlinear Analysis. Theory, Methods & Applications, vol. 30, no. 1, pp. 471–476, 1997. [3] L. B. Ciric, “A generalization of Banach’s contr action principle,” ... Special Foundation of National Prior Basis Research of China (Grant no. G1999075108). References [1] B. E. Rhoades, “A comparison of various definitions of contractive mapping...

Ngày tải lên: 22/06/2014, 19:20

... an inequality which acts as a perturbation of the equation. Thus, the stability question of functional equations is that Choonkil Park 7 Proof. The proof follows from Theorem 2.1 by taking ϕ(x, ... say that the e quation of homo- morphism H(x ∗ y) = H(x)  H(y) is stable. The concept of stability for a functional equation arises when we replace the functional equation by an inequality...

Ngày tải lên: 22/06/2014, 19:20

... depended only on the partition correspond- ing to c, while in the second one, existence occurs only under drastic conditions on the support of c, not simply its corresponding partition. If c(λ) ... definition of strong conjugacy ensures that invertible fixed points of φ are mapped bijectivelytoinvertiblefixedpointsofψ. While strong conjugacy is obviously an equiva- lence relation,...

Ngày tải lên: 22/06/2014, 22:20

... asymptotically quasi-nonexpansive mappings to a common fixed point of the mappings defined on a nonempty closed convex subset of a Banach space, and (ii) a sufficient condition for the convergence of the Ishikawa-ty ... recursion (3.1). Then {x n } converges strongly to some common fixed point of S and T. Corollary 3.6. Let E be a real uniformly convex Banach space and K a nonempty comp...

Ngày tải lên: 22/06/2014, 22:20