Fróchet differentiation between Menger probabilistic normed spaces

N. Eghbali

University of Mohaghegh Ardabili

Iran

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ABSTRACT

In this paper, we define and study Menger weakly and strongly P-convergent sequences and then Menger probabilistic continuity. We also display Frechet differentiation of nonlinear operators between Menger probabilistic normed spaces.

Subjclass : 46S40.

Keywords : Menger probabilistic normed spaces; Frehet differentiation; nonlinear operators.

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N. Eghbali

Department of Mathematics and Applications

Faculty of Mathematical Sciences

University of Mohaghegh Ardabili

56199-11367

Ardabil

Iran

e-mail : eghbali@uma.ac.ir

Received : May 2014. Accepted : August 2014