Forward–backward splitting algorithm for fixed point problems and zeros of the sum of monotone operators

V Dadashi, M Postolache - Arabian Journal of Mathematics, 2020 - Springer
In this paper, we construct a forward–backward splitting algorithm for approximating a zero
of the sum of an α α-inverse strongly monotone operator and a maximal monotone operator …

Strong and -Convergence to a Zero of a Monotone Operator in CAT(0) Spaces

S Ranjbar, H Khatibzadeh - Mediterranean journal of mathematics, 2017 - Springer
In this paper, Δ Δ-convergence and metric convergence of proximal point algorithms of
Mann and Halpern types to a zero of a monotone operator on a Hadamard space are …

Hybrid proximal point algorithm and applications to equilibrium problems and convex programming

V Dadashi, M Postolache - Journal of Optimization Theory and …, 2017 - Springer
In this paper, a hybrid projection algorithm for a countable family of mappings is considered
in Banach spaces. The sequence generated by algorithm converges strongly to the common …

On the weak and strong convergence of the proximal point algorithm in reflexive Banach spaces

V Dadashi, H Khatibzadeh - Optimization, 2017 - Taylor & Francis
In this paper, some proximal point algorithms (PPAs) for maximal monotone operators in
Banach spaces are considered. We obtain some results on the boundedness and the …

Proximal point algorithm for infinite pseudo-monotone bifunctions

H Khatibzadeh, V Mohebbi - Optimization, 2016 - Taylor & Francis
In this paper, first we study the weak convergence of the proximal point algorithm for an
infinite family of equilibrium problems of pseudo-monotone type in Hilbert spaces. Then with …

On the convergence of inexact proximal point algorithm on Hadamard manifolds

P Ahmadi, H Khatibzadeh - 2014 - projecteuclid.org
In this paper we consider the proximal point algorithm to approximate a singularity of a
multivalued monotone vector field on a Hadamard manifold. We study the convergence of …

On the strong convergence of Halpern type proximal point algorithm

H Khatibzadeh, S Ranjbar - Journal of Optimization Theory and …, 2013 - Springer
The main result of this paper is to prove the strong convergence of the sequence generated
by the proximal point algorithm of Halpern type to a zero of a maximal monotone operator …

Convergence analysis of the proximal point algorithm for pseudo-monotone equilibrium problems

H Khatibzadeh, V Mohebbi… - Optimization Methods and …, 2015 - Taylor & Francis
In this paper, we study the weak and strong convergence of the proximal point algorithm for
equilibrium problems of pseudo-monotone type in Hilbert spaces. We prove the weak …

[PDF][PDF] Halpern-type proximal point algorithm in complete CAT (0) metric spaces

MT Heydari, S Ranjbar - Analele ştiinţifice ale Universităţii" Ovidius" …, 2016 - sciendo.com
Halpern-type proximal point algorithm in complete CAT(0) metric spaces Page 1 DOI:
10.1515/auom-2016-0052 An. St. Univ. Ovidius Constanta Vol. 24(3),2016, 141–159 …

[图书][B] Nonlinear evolution and difference equations of monotone type in Hilbert spaces

BD Rouhani - 2019 - taylorfrancis.com
This book is devoted to the study of non-linear evolution and difference equations of first or
second order governed by maximal monotone operator. This class of abstract evolution …