Global Optimization and Applications To a Variational Inequality Problem
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Abstract
In the present paper, we study the existence and convergence of the best proximity point for cyclic Theta-contractions. As consequences, we extract several fixed point results for such cyclic mappings. As an application, we present some solvability theorems in the topic of variational inequalities.
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Keywords
Cyclic Contraction, Best Proximity Point, Variational Inequality, 65k10, Best Proximity Points, Economics, Geometry, variational inequality, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Point (geometry), Number theory, QA1-939, FOS: Mathematics, 47h10, Economic growth, Variational inequality, Algebra over a field, Pure mathematics, best proximity point, Fixed point, Discrete mathematics, Applied mathematics, Contractive Mappings, Inequality, Combinatorics, Physical Sciences, Convergence (economics), cyclic contraction, Geometry and Topology, Mathematics, Numerical optimization and variational techniques, Fixed-point theorems
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Hussain, Azhar;...et.al. (2021). "Global optimization and applications to a variational inequality problem", Open Mathematics, Vol.19, No.1, pp.1349-1358
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19
Issue
1
Start Page
1349
End Page
1358
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