An inertial type subgradient extragradient method for common fixed point and variational inequalities problems in real Banach space

DOI10.30495/jme.v18i0.2675MaRDI QIDQ6569565

B. Ali, Ajio Terlumun Jude

Publication date: 9 July 2024

Published in: Journal of Mathematical Extension (Search for Journal in Brave)

zbMATH Keywords

strong convergencefixed pointvariational inequality problemmonotone mappinginertial subgradient extragradient method

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Hilbert spaces
• A relaxed projection method for split variational inequalities
• The subgradient extragradient method for solving variational inequalities in Hilbert space
• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Strong convergence theorems by Halpern-Mann iterations for relatively nonexpansive mappings in Banach spaces
• Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point problems
• Projected subgradient techniques and viscosity methods for optimization with variational inequality constraints
• Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
• Combined relaxation methods for variational inequalities
• On the weak convergence of the extragradient method for solving pseudo-monotone variational inequalities
• Existence results for Stampacchia and Minty type implicit variational inequalities with multivalued maps
• Weak convergence of iterative methods for solving quasimonotone variational inequalities
• A subgradient extragradient algorithm for solving monotone variational inequalities in Banach spaces
• Hybrid method for equilibrium problems and variational inclusions
• On weak and strong convergence results for generalized equilibrium variational inclusion problems in Hilbert spaces
• Weak and strong convergence theorems for solving pseudo-monotone variational inequalities with non-Lipschitz mappings
• A strong convergence theorem for solving pseudo-monotone variational inequalities using projection methods
• Iterative methods of weak and strong convergence theorems for the split common solution of the feasibility problems, generalized equilibrium problems, and fixed point problems
• Strongly relatively nonexpansive sequences generated by firmly nonexpansive-like mappings
• A new inertial double-projection method for solving variational inequalities
• A class of projection and contraction methods for monotone variational inequalities
• On some non-linear elliptic differential functional equations
• Forcing strong convergence of Korpelevich's method in Banach spaces with its applications in game theory
• Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
• Iterative Algorithms for Nonlinear Operators
• Fixed point theorems and ergodic theorems for nonlinear mappings in Banach spaces
• SELF ADAPTIVE VISCOSITY-TYPE INERTIAL EXTRAGRADIENT ALGORITHMS FOR SOLVING VARIATIONAL INEQUALITIES WITH APPLICATIONS
• A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
• Inequalities in Banach spaces with applications
• A New Projection Method for Variational Inequality Problems
• A Krasnoselskii-type algorithm for approximating solutions of variational inequality problems and convex feasibility problems
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
• Qualitative properties of the minimum sum-of-squares clustering problem
• Inverse problems for multi-valued quasi variational inequalities and noncoercive variational inequalities with noisy data
• Convex programming in Hilbert space
• Some methods of speeding up the convergence of iteration methods
• Variational inequalities
• Asymptotically almost automorphic mild solutions for semilinear integro-differential evolution equations

This page was built for publication: An inertial type subgradient extragradient method for common fixed point and variational inequalities problems in real Banach space