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Browsing by Author "Vo Viet Tri"

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    A Fixed Point Theorem and an Application for the Cauchy Problem in the Scale of Banach Spaces
    (Univ Nis, Fac Sci Math, 2020) Vo Viet Tri; Karapınar, Erdal; Karapinar, Erdal; 19184; Matematik
    The main aim of this paper is to prove the existence of the fixed point of the sum of two operators in setting of the cone-normed spaces with the values of cone-norm belonging to an ordered locally convex space. We apply this result to prove the existence of global solution of the Cauchy problem with perturbation of the form {x'(t) = f[t, x(t)] + g[t, x(t)], t is an element of[0,infinity), x(0) = x(0)is an element of F-1, in a scale of Banach spaces f(F-s; parallel to center dot parallel to(s)) : s is an element of(0, 1]}.