We present some new critical point theorems for nonlinear dynamical systems which are generalizations of Dancš-Hegedüs-Medvegyev’s principle in uniform spaces and metric spaces by applying an abstract maximal element principle established by Lin and Du. We establish some generalizations of Ekeland’s variational principle, Caristi’s common fixed point theorem for multivalued maps, Takahashi’s no...

In this article, our aim is to consider a class of fuzzy mixed variational-like inequalities (FMVLIs) for mapping known as extended perturbed (EPFMVLIs). As exceptional cases, some new and classically defined “FMVLIs” are also attained. We have studied the auxiliary principle technique “EPFMVLI” “EPFMVLI.” By using analytic results, existence results efficient numerical techniques established. ...

The aim of this paper is to study a comprehensive dynamics system called fractional fuzzy differential variational inequality, which composed nonlinear equation with Atangana-Baleanu derivative and time-dependent inequality. We explore an existence uniqueness theorem for the under consideration. Our proof based on F-KKM theorem, Banach fixed point principle, theory monotone operators.

Automatic recognition of the speech of children is a challenging topic in computer-based speech recognition systems. Conventional feature extraction method namely Mel-frequency cepstral coefficient (MFCC) is not efficient for children’s speech recognition. This paper proposes a novel fuzzy-based discriminative feature representation to address the recognition of Malay vowels uttered by children...

Variational iteration method is introduced to solve two-point boundary value problem for a second order fuzzy differential equation under generalized Hukuhara differentiability. To illustrate the ability and reliability of the method, some examples are given, revealing its effectiveness and simplicity.