Báo cáo hóa học: " Stability of common fixed points in uniform spaces" ppt

... Convergence of a sequence of fixed points in a uniform space. Mat Vesnik. 13(28), 131–141 (1976) 2. Angelov, VG: A continuous dependence of fixed points of -contractive mappings in uniform spaces. ... points, known as the stability (or continuity) of fixed points, has been widely studied in fixed point theory in various set- tings (cf. [1-18]). The orig...

Ngày tải lên: 21/06/2014, 01:20

... set of fixed points of f resp., g is denoted by Ffresp., Fg.Apointx ∈ M is a coincidence point common fixed point of f and g if fx  gx x  fx  gx. The set of coincidence points of ... some x ∈ Cf, g. 3. Common Fixed Point Theorems for Commuting Maps In this section we extend some results in 7 to the setting of two mappings having a unique common fixed...

Ngày tải lên: 21/06/2014, 07:20

... “On common fixed points of weakly commuting mappings and set-valued mappings,” International Journal of Mathematics and Mathematical Sciences, vol. 9, no. 2, pp. 323–329, 1986. 27 B. Fisher, Common ... each t>0. Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2009, Article ID 869407, 11 pages doi:10.1155/2009/869407 Research Article Common Fixed P...

Ngày tải lên: 21/06/2014, 20:20

... different results on common fixed points for a family of commuting asymptotic pointwise nonexpansive mappings. As it can be seen in 9–11, existence of fixed points for multivalued mappings happens under ... common fixed points in either uniformly convex metric spaces or R-trees for this kind of mappings, as well as for ∗-nonexpansive or ε-semicontinuous multivalued mappings...

Ngày tải lên: 21/06/2014, 20:20

... 4.6 Another proof of this inequality is given in 69. In this proof one has to take n random segments in K and to consider then their Minkowski average D recall that the Minkowski average of the segments ... an excellent survey of many theoretical aspects of the classical isoperimetric inequality, explaining it first in the plane, extending it then to domains in R n , and...

Ngày tải lên: 21/06/2014, 18:20

... (2001), 367–373. [25] , Continuation results for mappings of contractive type, Semin. Fixed Point Theory Cluj- Napoca 2 (2001), 23–40. [26] , Methods in Nonlinear Integral Equations, Kluwer Academic ... (French). [22] , A fixed point theorem of Maia type in syntopogenous spaces, Seminar on Fixed Point Theory,Preprint,vol.88,Univ.“Babes¸-Bolyai”, Cluj-Napoca, 1988, pp. 49–70. [23] ,...

Ngày tải lên: 23/06/2014, 00:20

... exists a mapping Q : X → Y satisfying the following: (1) Q is a fixed point of J, that is, (2 − c − n) 2 Q(x) = Q((2 − c − n)x) (22) for all x ∈ X. The mapping Q is a unique fixed point of J in the set Ω ... exists a mapping Q : X → Y satisfying the following: (1) Q is a fixed point of J, i.e., Q  x 2 − c − n  = 1 (2 − c − n) 2 Q(x) (10) for all x ∈ X. The mapping Q is a unique fixed po...

Ngày tải lên: 20/06/2014, 04:20

... obtained a fixed point theorem for a single valued mapping satisfying an analogue of Banach’s contraction principle for an integr al-ty pe inequalit y. Rhoades [6] proved two fixed point theorems involving ... mappings,” Pacific Journal of Mathematics, vol. 30, pp. 475–488, 1969. [11] S. V. R. Naidu, Fixed points and coincidence points for multimaps with not necessarily bounded images,”...

Ngày tải lên: 22/06/2014, 19:20

... r n ))}ds, t > 0 . 4 Stability In this section we study the stability of the solution of the non-local problem (1)-(3) Definition 5 The solution of the non-auto nomous linear system (1) is stable ... 2011:47 http://www.advancesindifferenceequations.com/content/2011/1/47 Page 3 of 8 Now we complete the proof b y proving the equivalence between the integral equa- tion (4) and t...

Ngày tải lên: 20/06/2014, 22:20

... is a point of coincidence of S and F, too. Now we prove that z is unique point of coincidence of pairs {S, F}and {T, G}. Suppose that there exists z ∗ which is also a point of coincidence of these ... 2 Fixed Point Theory and Applications All results are proved in the settings of a solid cone, without the assumption of continuity of mappings. The paper is organized as fo...

Ngày tải lên: 21/06/2014, 05:20