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Inspired by some growth conditions used in convex and nonconvex optimization and given a bifunction defined on a nonempty closed subset of a real Hilbert space, we design a Proximal… Click to show full abstract
Inspired by some growth conditions used in convex and nonconvex optimization and given a bifunction defined on a nonempty closed subset of a real Hilbert space, we design a Proximal Point Method for finding its equilibria points. Then, we investigate the convergence of this scheme under a regularity metric type assumption and state other metric regularity conditions. The purpose of this short article is mainly to launch new ideas and bring some novelty in this field.
Keywords:
problems growth;
method equilibrium;
growth conditions;
equilibrium problems;
proximal method;
growth
Journal Title: Afrika Matematika
Year Published: 2017
Link to full text (if available)
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Journal Title: Afrika Matematika
Year Published: 2017
Link to full text (if available)
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recommendations!