Approximate quasi efficiency of set-valued optimization problems via weak subdifferential

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This paper deals with the approximate quasi efficient solutions of set-valued optimization problems. We establish the necessary and sufficient optimality conditions for \(\epsilon e\)-quasi efficiency via weak subdifferential under some approximate cone convexity assumptions. We also study duality results of Wolfe and Mond-Weir types for Geoffrion \(\epsilon e\)-quasi efficiency of finite dimensional set-valued optimization problems.