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Generalized Implicit Strong Vector Equilibrium Problem with Vector Relaxed Monotonicity |
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PP: 293-298 |
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doi:10.18576/msl/060311
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Author(s) |
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Mijanur Rahaman,
Rais Ahmad,
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Abstract |
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| In this paper, we introduce a new concept of vector relaxed a-C-monotonicity for bi-mappings. Using the KKM technique
and other appropriate assumptions, we establish existence results for generalized implicit strong vector equilibrium problem with
vector relaxed a-C-monotonicity and weaker coercivity condition in topological vector spaces. Finally, we give some applications
of generalized implicit strong vector equilibrium problem to convex differentiable optimization problem and convex minimization
problem. An example is also given. |
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