218 research outputs found
A new proof of the Lie-Trotter-Kato formula in Hadamard spaces
The Lie-Trotter-Kato product formula has been recently extended into Hadamard
spaces by [Stojkovic, Adv. Calc. Var., 2012]. The aim of our short note is to
give a simpler proof relying upon weak convergence instead of an ultrapower
technique.Comment: arXiv admin note: text overlap with arXiv:1211.041
Approximations for Equilibrium Problems and Nonexpansive Semigroups
We introduce a new iterative method for finding a common element of the set of solutions of an equilibrium problem and the set of all common fixed points of a nonexpansive semigroup and prove the strong convergence theorem in Hilbert spaces. Our result extends the recent result of Zegeye and Shahzad (2013). In the last part of the paper, by the way, we point out that there is a slight flaw in the proof of the main result in Shehu's paper (2012) and perfect the proof
- …