Some inequality techniques in handling fixed point problems on unbounded sets via homotopy methods

DOI10.1186/s13660-019-2125-4zbMath1499.65195OpenAlexW2951630348MaRDI QIDQ2067918

Ming-Ji Liu, Menglong Su

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2125-4

zbMATH Keywords

homotopy methodsfixed point problemsconstructive proofsinequality techniques

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

Cites Work

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• Strong convergence of a proximal point algorithm with general errors
• Generalizations of fixed point theorems and computation
• A modified homotopy method for solving the principal-agent bilevel programming problem
• Homotopy method for a class of nonconvex Brouwer fixed-point problems
• Solving fixed-point problems with inequality and equality constraints via a non-interior point homotopy path-following method
• Modified homotopy methods to solve fixed points of self-mapping in a broader class of nonconvex sets
• Fixed point theorems and their applications to theory of Nash equilibria
• A constraint shifting homotopy method for computing fixed points on nonconvex sets
• An Approach to Homotopy and Degree Theory
• A Constructive Proof of the Brouwer Fixed-Point Theorem and Computational Results
• Finding Zeroes of Maps: Homotopy Methods That are Constructive With Probability One
• Improving the convergence of fixed-point algorithms
• Introduction to Numerical Continuation Methods
• A Constructive Proof of the Poincare-Birkhoff Theorem
• Minimum-norm solution of variational inequality and fixed point problem in banach spaces
• Gradient methods with selection technique for the multiple-sets split feasibility problem
• Globally convergent homotopy algorithm for solving the KKT systems to the principal-agent bilevel programming
• Condition for global convergence of a homotopy method for variational inequality problems on unbounded sets
• Homotopies for computation of fixed points on unbounded regions
• Fixed points and quasi-equilibrium problems
• Fixed-point theorems and equilibrium problems

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