In this paper, a new wavelet representation for multivalued images is presented. The idea for this representation is based on the first fundamental form that provides a local measure for the contrast of a multivalued image. In this paper, this concept is extended toward multiscale fundamental forms using the dyadic wavelet transform of Mallat. The multiscale fundamental forms provide a local me...

Recently‎, some researchers have established some results on existence of endpoints for multivalued mappings. In particular, Mohammadi and Rezapour's [Endpoints of Suzuki type quasi-contractive multifunctions, U.P.B. Sci. Bull., Series A, 2015] used the technique of $alpha-psi$-contractive mappings, due to Samet et al. (2012), to give some results about endpoints of Suzuki type quasi-contractiv...

In this work a model for planning with multivalued fluents and graded actions, based on the infinite valued Lukasiewicz logic, is introduced. In multivalued planning, fluents can assume truth values in the interval [0, 1] and actions can be executed at different application degrees also varying in [0, 1]. The notions of planning problem and solution plan also reflect a multivalued approach. Mul...

Multiplayer perceptrons or feed-forward networks are generally trained to represent functions or many-to-one (m-o) mappings. This creates a problem if the training data exhibits the property of many-to-many or almost many-many valued-ness because the model, which generated the data, was many-to-many. Therefore in this paper a modified feed-forward network and training algorithm is considered to...

The deenitions of isolating block, index pair, and the Conley index, together with the proof of homotopy and additivity properties of the index are generalized for discrete multivalued dynamical systems. That generalization provides a theoretical background of numerical computation used by Mischaikow and Mrozek in their computer assisted proof of chaos in the Lorenz equations, where nitely repr...

In this paper, we study an elliptic obstacle problem with a generalized fractional Laplacian and multivalued operator which is described by gradient. Under quite general assumptions on the data, employ surjectivity theorem for mappings generated sum of maximal monotone bounded pseudomonotone mapping to prove that set weak solutions nonempty, closed. Then, introduce sequence penalized problems w...

We propose a new approach to the design of relational database schemes. The main features of the approach are: (4 A combination of the traditional decomposition and synthesis approaches, thus allowing the use of both functional and multivalued dependencies. (b) Separation of structural dependencies relevant for the design process from integrity constraints, i.e., constraints that do not bear an...