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Key words and phrases: Banach valued Brownian motion, central limit theorem, Schauder decomposition, second difference, skew pyramidal basis.. Letting the modulus ρ vary gives a
Using Schaefer’s fixed point theorem combined with the selection theorem of Bres- san and Colombo for lower semi-continuous maps with decomposable values, we will next present
The Schauder Fixed Point Theorem is, undoubtedly, one of the most impor- tant theorems of nonlinear analysis.. Theorem 1.1 (Schauder) Let M be a nonempty closed bounded convex sub-
In this paper, a recent Frigon nonlinear alternative for contractive multivalued maps in Fr´ echet spaces, combined with semigroup theory, is used to investigate the existence
Tsamatos, A Fixed point theorem of Krasnoselskii- Nonlinear alternative type with applications to functional integral
In the second result, we shall use the fixed point theorem for contraction multivalued maps due to Covitz and Nadler, while in the third result, we shall combine the
Nieto, Existence of solutions for anti-periodic boundary value problems involving fractional differential equations via Leray-Schauder degree theory, Topological Methods in
Finally, we propose a consistent test for the null hypothesis of linear cointegration against the alternative of nonlinear cointegration (NLCI). In a series of Monte Carlo
