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Equilibrium problems and fixed point theory [PDF]
Fixed Point Theory and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ansari, Qamrul +2 more
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Annales Mathematicae Silesianae, 2023 In this paper we formulate a setvalued fixed point problem by combining four prevalent trends of fixed point theory. We solve the problem by showing that the set of fixed points is nonempty.
Choudhury Binayak S. +3 more
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Operator Methods of the Maximum Principle in Problems of Optimization of Quantum Systems
Mathematics, 2022 In the class of optimal control problems for quantum systems, operator optimality conditions for control are constructed in the form of fixed-point problems in the control space.
Alexander Buldaev, Ivan Kazmin
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Tenth order boundary value problem solution existence by fixed point theorem
Journal of Inequalities and Applications, 2020 In this paper we consider the Green function for a boundary value problem of generic order. For a specific case, the Leray–Schauder form of the fixed point theorem has been used to prove the existence of a solution for this particular equation.
Nicola Fabiano +4 more
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On a Method for Optimizing Controlled Polynomial Systems with Constraints
Mathematics, 2023 A new optimization approach is considered in the class of polynomial in-state optimal control problems with constraints based on nonlocal control improvement conditions, which are constructed in the form of special fixed-point problems in the control ...
Alexander Buldaev, Dmitry Trunin
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A Refined Inertial-like Subgradient Method for Split Equality Problems
AppliedMathThis paper presents the convergence analysis of a newly proposed algorithm for approximating solutions to split equality variational inequality and fixed point problems in real Hilbert spaces.
Khushdil Ahmad +2 more
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The Split Common Fixed Point Problem for -Strictly Pseudononspreading Mappings
Journal of Applied Mathematics, 2013 We introduce and analyze the viscosity approximation algorithm for solving the split common fixed point problem for the strictly pseudononspreading mappings in Hilbert spaces.
Shubo Cao
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Hybrid steepest iterative algorithm for a hierarchical fixed point problem
Fixed Point Theory and Applications, 2017 The purpose of this work is to introduce and study an iterative method to approximate solutions of a hierarchical fixed point problem and a variational inequality problem involving a finite family of nonexpansive mappings on a real Hilbert space. Further,
Shamshad Husain, Nisha Singh
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On split equality fixed-point problems
Alexandria Engineering Journal, 2023 In this present work, we study new algorithms to solve the split equality fixed-point problems for total quasi-asymptotically nonexpansive mappings in Hilbert spaces. In addition, we have established the convergence criteria for the proposed algorithms, at the end, we provided numerical results that justified our theoretical results.
Mohammed, L. B. +2 more
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Hybrid Iterations for the Fixed Point Problem and Variational Inequalities
Journal of Applied Mathematics, 2014 A hybrid iterative algorithm with Meir-Keeler contraction is presented for solving the fixed point problem of the pseudocontractive mappings and the variational inequalities. Strong convergence analysis is given as limn→∞d(STxn,TSxn).
Li-Jun Zhu +3 more
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