Báo cáo hóa học: "DIAMETRICALLY CONTRACTIVE MAPS AND FIXED POINTS" docx

... DIAMETRICALLY CONTRACTIVE MAPS AND FIXED POINTS MARCO BARONTI, EMANUELE CASINI, AND PIER LUIGI PAPINI Received 13 January 2006; Revised 3 May 2006; Accepted 3 May 2006 Contractive maps have nice ... points, two classes of maps T : M → M are well known and deeply studied: the class of contractive maps ∀x, y in M, Tx− Ty≤αx − y, α ∈ (0,1), (1.1) and the class of none...

Ngày tải lên: 22/06/2014, 22:20

... convex sets and functions on parameters,Journalof Mathematical Analysis and Applications 28 (1969), no. 1, 4–25. [18] V. M. Sehgal and S. P. Singh, On random approximations and a random fixed point ... Shahzad and N. Hussain, Deterministic and random coincidence point results for f - nonexpansive maps, to appear in Journal of Mathematical Analysis and Applications. [20] N. Shahz...

Ngày tải lên: 22/06/2014, 22:20

... C q -commuting maps and invariant approximations Theorem 2.2. Let I and T be self -maps on a q-starshaped subset M of a p-normed space X. Assume that cl(T(M)) ⊂ I(M), q ∈ F(I),andI is affine. Suppose that T and ... of Al-Thagafi and Shahzad’s [2,Theorem2.2],Dotson’s[3, Theorem 1], Guseman and Peters’s [4,Theorem 2], and Hussain and Berinde’s [7, Theorem 3.6]. Theorem 3.1. Let T...

Ngày tải lên: 22/06/2014, 22:20

... developed by J. Nunziato, M. E. Gurtin, and A. C. Pipkin, the internal energy and the heat flux are described as functionals of u and u x . An abstract and more general version of neutral system ... N’Gu ´ er ´ ekata, Benchohra, Lizama, Hernandez, etc. and the references therein. On the other hand, the theory of fractional differential equations is also intensively studied and finds...

Ngày tải lên: 21/06/2014, 05:20

... of Inequalities and Applications and the claim follows by induction. Thus, the sequence {x n } is bounded and so are {T n x n } and {GT n x n }. Define two sequences {β n } and {y n } by β n :1−σλ n1 σ ... x ∗   , δ α   G  x ∗     , 3.13 and the claim follows by induction. Thus, the sequence {x n } is bounded and so are {Tx n } and {GTx n }. Define two se...

Ngày tải lên: 22/06/2014, 06:20

... Algorithms in Feasibility and Optimization and Their Applications, D. Butnariu, Y. Censor, and S. Reich, Eds., vol. 8, pp. 473–504, North-Holland, Amsterdam, The Netherlands, 2001. 3 L. Wang, ... x ∗   , δ α   G  x ∗     , 3.13 and the claim follows by induction. Thus, the sequence {x n } is bounded and so are {Tx n } and {GTx n }. Define two sequences {β n } and {...

Ngày tải lên: 22/06/2014, 18:20

... fixed points expanded, on the one hand, into related issues such as coincidences, periodic points, and roots and, on the other, into various refinements for restricted classes of maps and homotopies ... relative and equivariant contexts. Just about all of these aspects of Nielsen theory were represented by the talks in Newfoundland. The conference Hindawi Publishing Corporation Fixed...

Ngày tải lên: 22/06/2014, 22:20

... x, y Î X be arbitrary and fixed and consider the following five cases: Włodarczyk and Plebaniak Fixed Point Theory and Applications 2011, 2011:90 http://www.fixedpointtheoryandapplications.com/content/2011/1/90 Page ... now α 0 ∈ A and ε 0 > 0 be arbitrary and fixed, let n 0 =max{n 2 (a 0 , ε 0 ), n 3 (a 0 , ε 0 )} + 1 and let k, l Î N be arbitrary and fixed such tha...

Ngày tải lên: 20/06/2014, 21:20

... Lipschitz constant ks ,and T stTsTt for s, t ∈ S. We denote by FS the set of common fixed points of S ,and 12 Fixed Point Theory and Applications for all x,y ∈ C, and lim i →∞ k i  lim j ... Takahashi, Nonlinear Functional Analysis, Fixed Point Theory and Its Application, Yokohama, Yokohama, Japan, 2000. 21 W. A. Kirk and B. Sims, Eds., Handbook of Metric Fixed Po...

Ngày tải lên: 21/06/2014, 23:20

... for nonexpansive mappings in Banach spaces,” Fixed Point Theory and Applications, vol. 2008, Article ID 751383, 7 pages, 2008. 6 Fixed Point Theory and Applications i α n → 0,β n → 0, ii  ∞ n0 α n  ... Tx k,n    α n   w k,n   −→ 0. 3.8 Fixed Point Theory and Applications 11 Suppose {α n } and {r n } satisfy the conditions, i lim n →∞ α n  0 and  ∞ n0 α n ...

Ngày tải lên: 22/06/2014, 11:20