A hybrid inertial and contraction proximal point algorithm for monotone variational inclusions

S Dey - Numerical Algorithms, 2023 - Springer
In this paper, we introduce a new class of hybrid inertial and contraction proximal point
algorithm for the variational inclusion problem of the sum of two mappings in Hilbert spaces …

Well-posedness of generalized mixed variational inequalities, inclusion problems and fixed-point problems

LC Ceng, JC Yao - Nonlinear Analysis: Theory, Methods & Applications, 2008 - Elsevier
We introduced and studied the concept of well-posedness to a generalized mixed
variational inequality. Some characterizations are given. Under suitable conditions, we …

Inertial proximal and contraction methods for solving monotone variational inclusion and fixed point problems

JA Abuchu, GC Ugwunnadi… - … Functional Analysis and …, 2023 - nfaa.kyungnam.ac.kr
In this paper, we study an iterative algorithm that is based on inertial proximal and
contraction methods embellished with relaxation technique, for finding common solution of …

Proximal algorithm for solving monotone variational inclusion

C Zhang, Y Wang - Optimization, 2018 - Taylor & Francis
In this paper, we introduce a contraction algorithm for solving monotone variational inclusion
problem. To reach this goal, our main iterative algorithm combine Dong's projection and …

Multi-step inertial proximal contraction algorithms for monotone variational inclusion problems

C Zhang, QL Dong, J Chen - Carpathian Journal of Mathematics, 2020 - JSTOR
In this article, we introduce the multi-step inertial proximal contraction algorithms (MiPCA) to
approximate a zero of the sum of two monotone operators, with one of the two operators …

Iterative approximation of a unique solution of a system of variational-like inclusions in real q-uniformly smooth Banach spaces

KR Kazmi, FA Khan - Nonlinear Analysis: Theory, Methods & Applications, 2007 - Elsevier
In this paper, we give the notion of P-η-proximal-point mapping, an extension of η-m-
accretive mapping [CE Chidume, KR Kazmi, H. Zegeye, Iterative approximation of a solution …

[PDF][PDF] Mann type hybrid extragradient method for variational inequalities, variational inclusions and fixed point problems

LC Ceng, QH Ansari, MM Wong, JC Yao - Fixed Point Theory, 2012 - researchgate.net
Recently, Nadezhkina and Takahashi [N. Nadezhkina, W. Takahashi, Strong convergence
theorem by a hybrid method for nonexpansive mappings and Lipschitz-continuous …

A system of generalized variational inclusions involving generalized H (·,·)-accretive mapping in real q-uniformly smooth Banach spaces

KR Kazmi, FA Khan, M Shahzad - Applied Mathematics and Computation, 2011 - Elsevier
In this paper, we consider a class of accretive mappings called generalized H (·,·)-accretive
mappings in Banach spaces. We prove that the proximal-point mapping of the generalized H …

[PDF][PDF] Iterative methods for system of variational inclusions involving accretive operators and applications

X Zhao, DR Sahu, CF Wen - Fixed Point Theory, 2018 - researchgate.net
The purpose of this paper is to study existence and approximation of solutions of system of
variational inclusions involving multi-valued H-accretive and single-valued accretive …

A modified forward‐backward splitting methods for the sum of two monotone operators with applications to breast cancer prediction

P Peeyada, H Dutta, K Shiangjen… - … Methods in the …, 2023 - Wiley Online Library
This work proposes a modified forward‐backward splitting algorithm combining an inertial
technique for solving the monotone variational inclusion problem. The weak convergence …