Báo cáo hóa học: " On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces" pptx

... results concerning the existence of fixed point s for a sum of non- expansive and continuous mappings and also a sum of asymptotically nonexpansive and continuous mappings in locally convex spaces. ... Arunchai and Plubtieng: On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansi...

Ngày tải lên: 21/06/2014, 01:20

... case of one of the results on owc maps. In this paper, we show that the same is true for the theorems involving four maps, in which two of them are multivalued and for which the contractive condition ... also assumed that there was a point in X with bounded orbit. If there exists points x, y in X for which d(Tx,Ty) ≥ M(x, y), then one obtains a contradictio...

Ngày tải lên: 22/06/2014, 19:20

... 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 follows. In Section ... a generalization of a cone metric space and prove some common fixed point theorems for four mappings in those spaces. Obtained results are generalization of theor...

Ngày tải lên: 21/06/2014, 05:20

... self-maps of a set X. If f and g have a unique point of coincidence w  fx  gx, then w is the unique common fixed point of f and g. 2. Main Results In this section we will prove some fixed point theorems ... comments. The second, third, and fourth authors thank the Ministry of Science and the Ministry of Environmental Protection of Serbia for their suppo...

Ngày tải lên: 22/06/2014, 11:20

... Suzuki [3], and therefore of the Kannan fixed point theorem [4] for gen- eralized Kannan mappings. Also, it is the generalization of the Theorem 2.1 of Damja- nović and Đorić [13]. From the Corollary ... generalizations of the Nadler’ s theorem (see [6-9]). One of the general fixed point theorems for a gener- alized multivalued mappings appears in...

Ngày tải lên: 21/06/2014, 00:20

... were the first to provide applications of stability theory of functional equations for the proof of new fixed point theorems with applications. By using fixed point methods, the stability problems of ... ftx is continuous in the real variable t for each fixed x ∈ E, then L : E → E  is R-linear, and if f is continuous at a single point of E, then L : E → E...

Ngày tải lên: 21/06/2014, 20:20

... clever idea, they could present a short and simple proof for the stability of the Cauchy functional equation. In 20, Gronau investigated the solutions of the Theodorus functional equation fx  ... 2 Fixed Point Theory and Applications In 2003, C ˘ adariu and Radu 15 applied the fixed point method to the investigation of Jensen’s functional equation see...

Ngày tải lên: 22/06/2014, 11:20

... to include the in nity. We now introduce one of the fundamental results of fixed point theory. For the proof, we refer to [11]. This theorem will play an important role in proving our main theorems. Theorem ... by (Λh)(x) =  x c f  τ,h(τ)  dτ (2.14) for all h ∈ X and x ∈ I. Then, according to the fundamental theorem of Calculus, Λh is continuously differentiable o...

Ngày tải lên: 22/06/2014, 19:20

... every Cauchy sequence in X is convergent to a point in X. In 1998, Jungck and Rhoades 16 introduced the following concept of weak compatibility. Fixed Point Theory and Applications 9 d g  f 2 ···f n    f 2 ···f n  g, g  f 3 ···f n    f 3 ···f n  g, . . . gf n  ... (a), (b), and (c) of Theorem 2.2. If  ∞ i1 a i t λ < ∞ then there exists a unique...

Ngày tải lên: 21/06/2014, 20:20

... 2.23 and the relation 2.18 follows. The reminder of proof is the same as in the corresponding part of Theorem 2.1. This completes the proof. 2 Journal of Inequalities and Applications of T ... Journal of Inequalities and Applications Proof. As shown in the proof lines of Theorem 3.1, ∂f : H → H is a maximal monotone opera- tor, and so the conclusion...

Ngày tải lên: 22/06/2014, 06:20