Báo cáo hóa học: " FIXED POINTS OF MULTIMAPS WHICH ARE NOT NECESSARILY NONEXPANSIVE" pdf

... χ(·). If T satisfies T(x) ∩I C (x) =∅ ∀x ∈ C, (2.14) then T has a fixed point. FIXED POINTS OF MULTIMAPS WHICH ARE NOT NECESSARILY NONEXPANSIVE NASEER SHAHZAD AND AMJAD LONE Received 16 October 2004 ... remarked that the assumption of nonexpansiveness in the above theorem can not be avoided. In this paper, we prove a fixed point result for multimaps which are not ne...

Ngày tải lên: 23/06/2014, 00:20

... 108 Fixed points of condensing maps For a subset K of a topological vector space E, the closure, the convex hull, and the closed convex hull of K in E are denoted by K,coK,andcoK, ... B of K such that F(B) is a relatively compact subset of B.NotethatC := coF(B)iscompactandC ⊂ B. In fact, since ψ is regular and c ≥ 1, it follows from ψ(coF(B)) ≤ cψ(F(B)) that ψ(coF(B)) = 0 whi...

Ngày tải lên: 23/06/2014, 00:20

... closed. Proof. The proof follows from Corollary 4.26 on taking S = I.  228 Fixed points and coincidence points Proposition 3.19. Suppose that A is a nonempty subset of X such that one of α A , ... that d(u,v) ≤ ϕ  d(x, y)  . (4.6) Then F has a fixed point in X. FIXED POINTS AND COINCIDENCE POINTS FOR MULTIMAPS WITH NOT NECESSARILY BOUNDED IMAGES S. V. R. NAIDU Received...

Ngày tải lên: 23/06/2014, 00:20

... sufficienttorepeatthe proof of B.) For this reason, we study conditions to assure that fixed points of a continu- ous function, or of a closed-graph correspondence, can be attained as Nash equilibria of a noncooperative ... exists a cor- respondence whose fixed points coincide with the equilibrium points of the game. However, it is natural to ask whether fixed points arguments a...

Ngày tải lên: 22/06/2014, 22:20

... solu- tion of (1.1)asafunctionofu(t) so that the behavior of the s ystem depends on (or is controlled by) the choice of u within a set U given in advance. Assume that two states of the system are given, ... [9]). Acknowledgment This research was supported in part by NSF of China (10471021). 8 Fixed points and controllability in delay systems where C ij is the cofactor of w...

Ngày tải lên: 22/06/2014, 22:20

... compact subsets of ᏾ are those subsets of ᏾ which are closed relatively to ᏾, or, that is the same since X is a Hausdorff space, the closed sets of X which are contained in ᏾. We denote ∂᏾ ⊆ ᏾ = ... some theorems on the existence of fixed points, periodic points, and sequences of iterates which are chaotic in a suit- able manner. Our results, motivated by the study of...

Ngày tải lên: 23/06/2014, 00:20

... space of bounded continuous functions which agree with ψ and use the above equation for x to define a mapping. That mapping would be a contraction because of (3.32). We would complete the proof as ... ∞ . (2.10) In all of these, f (x) ≥ 0andxg(x) ≥ 0. All of these problems bear out the conjecture that the functions in (1.1) represent a harmless pertur bation. All of these are imp...

Ngày tải lên: 23/06/2014, 00:20

... surface expression of CD3 indicating that decreased expression of CXCR4 is not a non-specific consequence of HIV-1 infec- tion (not shown). HIV-1 infection induces internalization of CXCR4 in RH9 ... http://www.virologyj.com/content/5/1/6 Page 5 of 10 (page number not for citation purposes) Immunofluorescence microscopy analysis of CXCR4 expression in permeabilized HIV-1 and...

Ngày tải lên: 20/06/2014, 01:20

... A*F(X) A.SuchproblemwasstudiedbyLiaoetal.[15].Now,weintroducethefollowing definition. Berzig and Samet Fixed Point Theory and Applications 2011, 2011:89 http://www.fixedpointtheoryandapplications.com/content/2011/1/89 Page 2 of 10 RESEARC H Open Access Solving systems of nonlinear ... iterative method, fixed point, Thompson metric 1 Introduction Fixed point theory is a very attracti...

Ngày tải lên: 20/06/2014, 22:20

... (4.8) 14 Basic properties of Sobolev’s spaces on time scales [6] E. Hewitt and K. Stromberg, Real and Abstract Analysis. A Modern Treatment of the Theory of Functions of a Real Variable, 3rd ed., ... point of J is isolated. Proof. Denote by Ᏺ p the closed unit ball in W 1,p Δ (J); we know from Theorem 3.4 that Ᏺ p is closed and bounded in C(J). If p>1, then the fundamental theore...

Ngày tải lên: 22/06/2014, 22:20