Modified mildly inertial subgradient extragradient method for solving pseudomonotone equilibrium problems and nonexpansive fixed point problems
Copyright policy )Modified mildly inertial subgradient extragradient method for solving pseudomonotone equilibrium problems and nonexpansive fixed point problems
<abstract><p>This paper presents and examines a newly improved linear technique for solving the equilibrium problem of a pseudomonotone operator and the fixed point problem of a nonexpansive mapping within a real Hilbert space framework. The technique relies two modified mildly inertial methods and the subgradient extragradient approach. In addition, it can be viewed as an advancement over the previously known inertial subgradient extragradient approach. Based on common assumptions, the algorithm's weak convergence has been established. Finally, in order to confirm the efficiency and benefit of the proposed algorithm, we present a few numerical experiments.</p></abstract>
- Prince Sattam Bin Abdulaziz University Saudi Arabia
- Menoufia University Egypt
- University of KwaZulu-Natal South Africa
- Mountain Top University Nigeria
Aerospace Engineering, FOS: Mechanical engineering, Nonlinear Operators, Fixed-Point Problems, Mathematical analysis, Engineering, Interior-Point Methods, subgradient extragradient, QA1-939, FOS: Mathematics, Classical mechanics, equilibrium problem, Subgradient method, Numerical Analysis, Numerical Optimization Techniques, fixed point problem, Equilibrium Problems, Physics, Mathematical optimization, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, Applied mathematics, Computational Theory and Mathematics, mildly inertial, Computer Science, Physical Sciences, Inertial frame of reference, Autonomous Aerial Refueling Systems for UAVs, Mathematics, Mixed-Integer Nonlinear Programs
Aerospace Engineering, FOS: Mechanical engineering, Nonlinear Operators, Fixed-Point Problems, Mathematical analysis, Engineering, Interior-Point Methods, subgradient extragradient, QA1-939, FOS: Mathematics, Classical mechanics, equilibrium problem, Subgradient method, Numerical Analysis, Numerical Optimization Techniques, fixed point problem, Equilibrium Problems, Physics, Mathematical optimization, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, Applied mathematics, Computational Theory and Mathematics, mildly inertial, Computer Science, Physical Sciences, Inertial frame of reference, Autonomous Aerial Refueling Systems for UAVs, Mathematics, Mixed-Integer Nonlinear Programs
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