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The purpose of this paper is to study the existence of solutions to a system of generalized order complementarity problems via an order exceptional family of elements. We prove that under certain conditions, either the system of generalized order complementarity problems has a solution or it has an order exceptional family of elements.
In this paper, a new kind of fuzzy relation equations (FREs for short) A0R* x = b is first introduced, and then the problem of solving solution to the FREs is discussed, where A is an mtimesn matrix, x and b are an n and an m dimension column vectors, respectively. More specifically, its solvability and unique solvability are investigated, the corresponding necessary and sufficient conditions are...
In this work, we study some existence results for solutions for a class of strong vector variational inequalities (for short, SVVI) in Banach spaces. The solvability of the SVVI without monotonicity is presented by using the fixed point theorems of Brouwer and Browder, respectively. The solvability of the SVVI with monotonicity is also proved by using the Ky Fan lemma. Our results give a positive...
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