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(In [15] these splitting theorems are proved for Banach manifolds and at the presence of a spray.) Finally flat connection on the Banach and Fr´echet model spaces, and the
The proof uses Robin’s and Gronwall’s theorems on G(n). An alternate proof of one step depends on two properties of superabundant numbers proved using Alaoglu and Erd˝ os’s
The notion of leaf-to-leaf transforming homotopic mappings is introduced, and the homotopy axiom for vertical cohomologies is proved (Theorem 2.5).. The notion of a relative group
Surprisingly enough, the main Theorems 2 and 3 from § 3 are proved easily by using the appropriate version of the method of periodic successive approximations [1] adopted for the
Guran, A multivalued Perov-type theorems in generalized metric spaces - accepted for publication in Creative Mathematics and Informatics, Baia-Mare, Romˆania.... Perov, On
In this paper we prove a fixed point theorem for a pair of mappings with probabilis- tic diminishing orbital diameters on Menger spaces and introduce the notion of generalized
Section 2 summarizes the main results on properties A and B for linear equations proved in [6] and section 3 is devoted to nonlinear case: some comparison theorems are
Similar to the Morita theorems proved in [1] and the relative version given by Van Oystaeyen and Verschoren in [9], we will prove in this note a (relative) hermitian version of
