Browsing by Author "Rashid, Mohammed H."

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    Convergence Analysis of General Version of Gauss-Type Proximal Point Method for Metrically Regular Mappings
    (Scientific Research Publishing, 2016-07) Alom, Md. Asraful; Rashid, Mohammed H.; Dey, Kalyan K.
    We introduce and study in the present paper the general version of Gauss-type proximal point algorithm (in short GG-PPA) for solving the inclusion , where T is a set-valued mapping which is not necessarily monotone acting from a Banach space X to a subset of a Banach space Y with locally closed graph. The convergence of the GG-PPA is present here by choosing a sequence of functions with , which is Lipschitz continuous in a neighbourhood O of the origin and when T is metrically regular. More precisely, semi-local and local convergence of GG-PPA are analyzed. Moreover, we present a numerical example to validate the convergence result of GG-PPA.