We consider differential inclusions with state constraints in a Banach space and study the properties of their solution sets. We prove a relaxation theorem and we apply it to prove the well-posedness of an optimal control problem.
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In this paper, we study the common fixed point and periodic point results for self-mapings in the setup of multiplicative metric spaces. We also study the well-posedness of these obtained our results. We also study the common fixed point results of mappings involved in the cyclic representation. Moreover, some applications to obtain the common solution of integral equations are presented.
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