218 research outputs found

    A new proof of the Lie-Trotter-Kato formula in Hadamard spaces

    Full text link
    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

    Get PDF
    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
    • …
    corecore