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error bounds of lower semi-continuous convex-along-rays functions
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نویسنده
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bornayoon amir ,mohebi hossein
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منبع
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international journal of nonlinear analysis and applications - 2023 - دوره : 14 - شماره : 10 - صفحه:139 -153
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چکیده
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In this paper, we study lipschitz global error bounds for lower semi-continuous convex-along-rays (l.s.c. car) functions. we find a condition that ensures the existence of a global error bound for a car function. moreover, we find a condition under which an l.s.c. car function does not have a lipschitz global error bound. finally, we survey lipschitz’s global error bounds of an l.s.c. (in particular, an l.s.c. car) function from the perspective of abstract convexity.
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کلیدواژه
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convex-along-rays functions ,global error bound ,abstract convexity
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آدرس
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graduate university of advanced technology, department of mathematics, iran, shahid bahonar university of kerman, mahani mathematical research center, department of mathematics, iran
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پست الکترونیکی
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hmohebi@uk.ac.ir
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Authors
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