Báo cáo hóa học: " COMMON FIXED POINT AND INVARIANT APPROXIMATION RESULTS IN CERTAIN METRIZABLE TOPOLOGICAL VECTOR SPACES" pptx

... [14–18], and Singh [19]. 2. Common fixed point and approximation results The following common fixed point result is a consequence of Theorem 1 of Berinde [2], which will be needed in the sequel. Theorem ... Fixed point theorems and invariant approximations, Journal of Approximation The- ory 56 (1989), no. 3, 241–244. [6] N. Hussain and A. R. Khan, Common fixed -po...

Ngày tải lên: 22/06/2014, 22:20

... AR: Common fixed point and approximation results for noncommuting maps on locally convex spaces. Fixed Point Theory Appl 14 (2009). (Article ID 207503) 8. Al-Thagafi, MA: Common fixed points and ... Abbas et al.: Common fixed point and invariant approximation in hyperbolic ordered metric spaces. Fixed Point Theory and Applications 2011 2011:25. Abbas...

Ngày tải lên: 21/06/2014, 01:20

... = 2x − x 2 and g(x) = x 2 . The common fixed points of f and g are 0 and 1 and are their only coincidence points. In general fg= gf, but since f and g clearly commute at 0 and 1, f and g are nontrivially compatible. ... concept of diminishing orbital diameters, which was introduced by Belluce and Kirk [1] in 1969. They introduced the concept of mappings with diminishing...

Ngày tải lên: 23/06/2014, 00:20

... X and A ⊆ X. Let f and T be selfmaps of M. A point x Î M is called a fixed point of f if fx = x. The set of all fixed points of f is denoted by F(f). A point x Î M is called a coincidence point ... present some common fixed point theorems for these classes and the existence of the common fixed points for best approximation. Our results improve, extend, and co...

Ngày tải lên: 20/06/2014, 22:20

... al. Fixed Point Theory and Applications 2011, 2011:71 http://www.fixedpointtheoryandapplications.com/content/2011/1/71 Page 6 of 14 RESEARC H Open Access Common fixed- point results for nonlinear contractions ... nonlinear contractions in ordered partial metric spaces. Fixed Point Theory and Applications 2011 2011:71. Samet et al. Fixed Point Theory and Applications...

Ngày tải lên: 20/06/2014, 22:20

... Î X. Then f, g, and h have a common fixed point in X. Moreover, any fixed point of f is a fixed point g and h and conversely. Proof. Suppose x 0 is an arbitrary point in X.Define{x n }byx 3n+1 = ... Then f, g, and h have a unique common fixed point in X. More- over, any fixed point of f is a fixed point g and h and conversely. Proof. Suppose x 0...

Ngày tải lên: 20/06/2014, 22:20

... coincidence point, common coupled fixed point, weakly compa- tible maps, generalized metric space 1 Introduction and preliminaries The study of common fixed points of mappings satisfying certain ... coupled fixed point results in two generalized metric spaces. Fixed Point Theory and Applications 2011 2011:80. Shatanawi et al. Fixed Point Theory and Applicatio...

Ngày tải lên: 20/06/2014, 22:20

... nonexpansive and affine. If T and I are 1-subcommutative maps, then T and I have a common fixed point provided Al-Mezel Fixed Point Theory and Applications 2011, 2011:99 http://www.fixedpointtheoryandapplications.com/content/2011/1/99 © ... space. Then, f and T have a common fixed point. Al-Mezel Fixed Point Theory and Applications 2011, 2011:99 http://www.fixe...

Ngày tải lên: 20/06/2014, 21:20

... Dotson [15], Jungck and Sessa [16], Lami Dozo [17] and Latif and Tweddle [18]. We also extend and unif y well-known results on fixed points and common fixed points of best approximation for R-subcommutative ... 0 or X is an Opial’s space. Then, f and T have a common fixed point. Al-Mezel Fixed Point Theory and Applications 2011, 2011:99 http://www.fixedpointt...

Ngày tải lên: 20/06/2014, 21:20

... v 0 ). In fact, by using this process, we can obtain a sequence {v n }inX such that v n+1 Î T (v n ) and Hirunworakit and Petrot Fixed Point Theory and Applications 2011, 2011:78 http://www.fixedpointtheoryandapplications.com/content/2011/1/78 Page ... Nonconvex minimization theorems and fixed point theorems in complete metric spaces. Math Japonica. 44(2), 381–391 (1996) 5...

Ngày tải lên: 20/06/2014, 22:20