WebOct 2, 2001 · These results concern contractions of locally compact metric spaces and generalize the theorems of Wolff and Denjoy about the iteration of a holomorphic map of the unit disk. In the case of unbounded orbits, there are two types of statements which can sometimes be proven; first, about invariant horoballs, and second, about the … WebIt is shown that techniques of Browder and Ishikawa for approximating fixed points of nonexpansive mappings extend in a more restricted sense to the locally nonexpansive …
Nonexpanding map between manifolds decreases volume?
WebOct 1, 2004 · Consider a nonexpansive self-mapping T of a closed convex subset C of a Banach space X. Suppose that the set Fix ( T) of fixed points of T is nonempty. For a contraction f on C and t ∈ (0,1), let xt ∈ C be the unique fixed … WebJul 1, 1997 · We introduce iteration schemes for families of nonexpansive mappings in Hilbert spaces, and prove that the iterates converge strongly to common fixed points of the mappings. article article References References 1 J.B. Baillon C.R. Acad. Sci. Paris Sér. A-B, 280 ( 1975), pp. 1511 - 1514 View in Scopus 2 J.B. Baillon, H. Brézis cuh helipad
On algorithms for discrete and approximate Brouwer fixed points
WebRecently, Pandey et al. [26] proposed a different extension of non-expansive map- pings which contains α-non-expansive and Suzuki generalized non-expansive map- pings named as generalized α-Reich–Suzuki non-expansive mappings and obtained interesting results containing this kind of mappings. WebThat is, x* is the minimum-norm fixed point ofT.Inotherwords,x*isthemetric projection of the origin into Fix(T), i.e., x*=P Fix(T)0. It is an interesting thing to con-struct iterative sequence to find the minimum-norm fixed point of a nonexpansive mapping T, i.e., the minimum-norm solutions ofx = Tx. Recently, Yao and Xu [14] WebFeb 29, 2024 · Using the concept of Bregman divergence, we propose a new subgradient extragradient method for approximating a common solution of pseudo-monotone and Lipschitz continuous variational inequalities and fixed point problem in real Hilbert spaces. The algorithm uses a new self-adjustment rule for selecting the stepsize in each iteration … eastern link information technology llc