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2 Journal of Applied Analysis

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On the generalized quotient integrals on homogeneous spaces

Derikvand T., Kamyabi-Gol R. A., Janfada M.

Journal of Applied Analysis

2017

Vol. 23, nr 2

65--71

A generalization of the quotient integral formula is presented and some of its properties are investigated. Also the relations between two function spaces related to the special homogeneous spaces are derived by using the general quotient integral formula. Finally, our results are supported by some examples.

Iteration regularized semigroups of set-valued functions

Mosallanezhad M., Janfada M.

Journal of Applied Analysis

2016

Vol. 22, nr 2

121--130

In this paper, a set-valued iteration regularized semigroup, i.e. a family {Ft}t≥0 of set-valued functions for which Fs+t∘C=Fs∘Ft,F0=C,s,t≥0, will be considered, where C is a set-valued function on a closed convex cone in a Banach space. Under some appropriate conditions the generator of a set-valued regularized concave semigroup is introduced and some of its properties are investigated. Also differentiability of the iteration family {C∘ Ft}t≥0 is discussed.