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NONSMOOTH SET VARIATIONAL INEQUALITY PROBLEMS AND OPTIMALITY CRITERIA FOR SET OPTIMIZATION
(Univ Miskolc Inst Math, 2020) Karaman, E.
In this work, set-valued optimization problems are considered according to an order relation, which is a partial order on the family such that contains nonempty bounded sets of the space. A generalized convexity is defined for set-valued mapping by using the partial order relation. Nonsmooth variational inequality problems are introduced with the aid of M-directionally derivative. Some optimality criteria including the necessary and sufficient optimality conditions are obtained for mentioned optimization problems.
Oscillatory behavior of a higher-order nonlinear neutral type functional difference equation with oscillating coefficients
(Tsing Hua University, 2014) Karaman, E.; Yildiz, M.K.
In this work, we shall consider oscillation of bounded solutions of higher-order nonlinear neutral delay difference equations of the following type (formula presented) where (formula presented) is fixed and can take both odd and even values, (formula presented)is a sequence of reals such that (formula presented) is a nonnegative sequence of reals, and (formula presented) and (formula presented)are sequences of integers tending to infinity asymptotically and bounded above by (formula presented), and (formula presented). © 2014 Tsing Hua University. All rights reserved.