A Halpern-type iteration method for Bregman nonspreading mapping and monotone operators in reflexive Banach spaces

DOI10.1155/2019/8059135OpenAlexW2971948005MaRDI QIDQ2300001

Lateef Olakunle Jolaoso, Felicia Obiageli Isiogugu, Ferdinard Udochukwu Ogbuisi

Publication date: 24 February 2020

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/8059135

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25)

Cites Work

• Convergence theorems for maximal monotone operators and fixed point problems in Banach spaces
• Forward-backward splitting methods for accretive operators in Banach spaces
• A projection method for solving nonlinear problems in reflexive Banach spaces
• Convex functions, monotone operators and differentiability.
• Fixed point theorems and convergence theorems for generalized nonspreading mappings in Banach spaces
• Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces
• Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces
• The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces
• Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
• An iterative row-action method for interval convex programming
• The perturbed proximal point algorithm and some of its applications
• An iterative approach to quadratic optimization
• Projection and proximal point methods: Convergence results and counterexamples.
• Totally convex functions for fixed points computation and infinite dimensional optimization
• Applications of Bregman-Opial property to Bregman nonspreading mappings in Banach spaces
• General proximal-point algorithm for monotone operators
• Solutions to inexact resolvent inclusion problems with applications to nonlinear analysis and optimization
• The proximal point algorithm revisited
• Bregman weak relatively nonexpansive mappings in Banach spaces
• A new iterative method for equilibrium problems and fixed point problems of nonexpansive mappings and monotone mappings
• Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
• A new iterative algorithm for the variational inequality problem over the fixed point set of a firmly nonexpansive mapping
• Existence and Approximation of Fixed Points of Bregman Firmly Nonexpansive Mappings in Reflexive Banach Spaces
• Iterative Methods for Solving Systems of Variational Inequalities in Reflexive Banach Spaces
• Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
• A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
• Splitting Algorithms for the Sum of Two Nonlinear Operators
• On the Convergence of the Proximal Point Algorithm for Convex Minimization
• Monotone Operators and the Proximal Point Algorithm
• Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
• Bregman Monotone Optimization Algorithms
• ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
• Re-examination of Bregman functions and new properties of their divergences
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• A Proximal-Projection Method for Finding Zeros of Set-Valued Operators
• Convex analysis and monotone operator theory in Hilbert spaces
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