A proximal point algorithm converging strongly to a minimizer of a convex function

Izhar Uddin; Chanchal Garodia; Safeer H Khan

A proximal point algorithm converging strongly to a minimizer of a convex function

Izhar Uddin
, Chanchal Garodia
, Safeer H Khan

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

In this paper, we obtain a new modified proximal point algorithm in the setting of CAT(0) spaces and establish some strong convergence results of the proposed algorithm. In process, several relevant results of the existing literature are generalized and improved.

Original language	English
Pages (from-to)	659-685
Number of pages	27
Journal	Jordan Journal of Mathematics and Statistics
Volume	13
Issue number	4
State	Published - Dec 1 2020

Keywords

Convex minimization problem
Resolvent identity

Cite this

@article{766d424f1b61457886e4588689f05885,

title = "A proximal point algorithm converging strongly to a minimizer of a convex function",

abstract = "In this paper, we obtain a new modified proximal point algorithm in the setting of CAT(0) spaces and establish some strong convergence results of the proposed algorithm. In process, several relevant results of the existing literature are generalized and improved.",

keywords = "Convex minimization problem, Resolvent identity",

author = "Izhar Uddin and Chanchal Garodia and Khan, \{Safeer H\}",

year = "2020",

month = dec,

day = "1",

language = "English",

volume = "13",

pages = "659--685",

journal = "Jordan Journal of Mathematics and Statistics",

issn = "2075-7905",

publisher = "Yarmouk University",

number = "4",

}

TY - JOUR

T1 - A proximal point algorithm converging strongly to a minimizer of a convex function

AU - Uddin, Izhar

AU - Garodia, Chanchal

AU - Khan, Safeer H

PY - 2020/12/1

Y1 - 2020/12/1

N2 - In this paper, we obtain a new modified proximal point algorithm in the setting of CAT(0) spaces and establish some strong convergence results of the proposed algorithm. In process, several relevant results of the existing literature are generalized and improved.

AB - In this paper, we obtain a new modified proximal point algorithm in the setting of CAT(0) spaces and establish some strong convergence results of the proposed algorithm. In process, several relevant results of the existing literature are generalized and improved.

KW - Convex minimization problem

KW - Resolvent identity

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85118989557&origin=inward

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85118989557&origin=inward

M3 - Article

SN - 2075-7905

VL - 13

SP - 659

EP - 685

JO - Jordan Journal of Mathematics and Statistics

JF - Jordan Journal of Mathematics and Statistics

IS - 4

ER -

A proximal point algorithm converging strongly to a minimizer of a convex function

Abstract

Keywords

Other files and links

Fingerprint

Cite this