Báo cáo hóa học: " COMMON FIXED POINT THEOREMS FOR COMPATIBLE SELF-MAPS OF HAUSDORFF TOPOLOGICAL SPACES" ppt

... COMMON FIXED POINT THEOREMS FOR COMPATIBLE SELF-MAPS OF HAUSDORFF TOPOLOGICAL SPACES GERALD F. JUNGCK Received 13 July 2004 and in revised form 3 February 2005 The concept of proper orbits of ... L.P.BelluceandW.A.Kirk ,Fixed- point theorems for certain classes of nonexpansive mappings, Proc. Amer. Math. Soc. 20 (1969), 141–146. [2] Y.J.Cho,K.S.Ha,andS S.Chang...

Ngày tải lên: 23/06/2014, 00:20

... Kang, SM, Ryu, JW: A common fixed point theorem for compatible mappings. Math Jpn. 35, 153–157 (1990) 7. Mongkolkeha, C, Kumam, P: Fixed point and common fixed point theorems for generalized weak ... Jungck, G, Rhoades, BE: Fixed point theorems for occasionally weakly compatible mappings. Fixed Point Theory. 7, 287–296 (2006) 31. Chen, J, Li, Z: Common...

Ngày tải lên: 20/06/2014, 22:20

... Approximating fixed points of some maps in uniformly convex metric spaces. Fixed Point Theory Appl2010, 11. (Article ID 385986) 22. Altun, I, Damjanovic, B, Djoric, D: Fixed point and common fixed point theorems ... prove a common fixed point theorem for four mappings defined on an ordered metric space and apply it to find new common fixed point results. The...

Ngày tải lên: 21/06/2014, 01:20

... Nonconvex minimization theorems and fixed point theorems in complete metric spaces. Math Japonica. 44(2), 381–391 (1996) 5. Sintunavart, W, Kumam, P: Coincidence and common fixed points for hybrid strict ... N: Common fixed point theorem for hybrid generalized multivalued. Thai J Math. 9(2), 417–427 (2011) 11. Ume, J-S: Existence theorems for generalized distance on...

Ngày tải lên: 20/06/2014, 22:20

... coincidence and common fixed- point theorems for these contractions are proved. Presented theorems are twofold generalizations of very recent fixed- point theorems of Altun and Erduran (Fixed Point Theory ... Simsek, H: Some fixed point theorems on ordered metric spaces and application. Fixed Point Theory Appl 2010, 17 (2010). (Article ID 621469) 3. Altun, I,...

Ngày tải lên: 20/06/2014, 22:20

... 2011:49 http://www.advancesindifferenceequations.com/content/2011/1/49 Page 5 of 20 for all x, y, z Î X. 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. It follows from ... hz ) } for all x, y, z Î X. Then f, g, and h have a common fixed point in X. Moreover, any fixed point...

Ngày tải lên: 20/06/2014, 22:20

... I, Simsek, H: Some fixed point theorems on ordered metric spaces and application. Fixed Point Theory Appl 2010, 17 (2010). (Article ID 621492) 4. Ćirić, L: Common fixed points of nonlinear contractions. ... f(gx) for all x Î X. Recently, Turkoglu [32] studied new common fixed point theorems for weakly com- patible mappings on uniform spaces. While, Nashine and Same...

Ngày tải lên: 20/06/2014, 22:20

... zero-element of X.Since(A − I)isbijective,wededuce the uniqueness of the fixed point x fix ∈ X.  Our next fixed point theorem can be formulated as a corollary of the basic (Theorem 4.7) for linear ... − I) = X (see proof of Theorem 4.7). Theorem 5.1 implies the existence of the inverse operator (A − I) −1 and the existence of the fixed point x fix = (A − I) −1  0 X  (5.9) f...

Ngày tải lên: 22/06/2014, 22:20

... obtained some fixed point theorems of 1-set-contractive opera- tors. Recently, Li [6] obtained some fixed point theorems for 1-set-contractive operators and existence theorems of solutions for the ... fixed point theorems of 1-set-contractive operators in Banach space. Fixed Point Theory and Applications 2011 2011:15. Wang Fixed Point Theory and Applicati...

Ngày tải lên: 21/06/2014, 02:20

... The set of fixed points of T (resp. f ) is denoted by F(T)(resp.F( f )). A point x ∈ M is a common fixed point of f and T if x = fx= Tx.The pair { f ,T} is called (1) commuting if Tfx= fTxfor all ... 3.5, we establish common fixed point generalization of Theorem 1 of Dotson [3], and Theorem 2 of Guseman and Peters [4]. Theorem 3.6. Let T, I be self-maps on a compact subse...

Ngày tải lên: 22/06/2014, 22:20