dc.contributor.author | Alom, Md. Asraful | |
dc.contributor.author | Rashid, Mohammed H. | |
dc.contributor.author | Dey, Kalyan K. | |
dc.date.accessioned | 2016-07-21T12:21:02Z | |
dc.date.available | 2016-07-21T12:21:02Z | |
dc.date.issued | 2016-07 | |
dc.identifier.uri | http://dx.doi.org/10.4236/am.2016.711110 | |
dc.identifier.uri | http://hdl.handle.net/123456789/872 | |
dc.description.abstract | 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. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Scientific Research Publishing | en_US |
dc.relation.ispartofseries | Applied Mathematics, 2016, 7, 1248-1259; | |
dc.subject | Set-Valued Mappings | en_US |
dc.subject | Metrically Regular Mappings | en_US |
dc.subject | Lipschitz-Like Mapping | en_US |
dc.subject | Local and Semi-Local Convergence | en_US |
dc.title | Convergence Analysis of General Version of Gauss-Type Proximal Point Method for Metrically Regular Mappings | en_US |
dc.type | Article | en_US |