In this paper, the concept of generalized Jaggi-Berinde contraction multivalued maps in partially ordered metric spaces is introduced. A fixed point theorem for such maps is established. An example is given to support our main result. We investigate the stability of fixed points for a sequence of generalized Jaggi-Berinde contraction multivalued maps in partially ordered metric spaces. Our resu...

For a large number of those working in topology, functional analysis, multivalued analysis, approximation theory, convex geometry, mathematical economics, control theory, and several other areas, the year 1956 has always been strongly connected with the publication by Ernest Michael of two fundamental papers on continuous selections which appeared in the Annals of Mathematics [4] [5]. With suff...

Following the development of fuzzy logic theory by Lotfi Zadeh, its applications were investigated by researchers in different fields. Presenting and working with uncertain data is a complex problem. To solve for such a complex problem, the structure of relationships and operators dependent on such relationships must be repaired. The fuzzy database has integrity limitations including data depen...

Based on an extension of Fenchel inequality, bipotentials are non smooth mechanics tools, used to model various non associative multivalued constitutive laws of dissipative materials (friction contact, soils, cyclic plasticity of metals, damage). Let X , Y be dual locally convex spaces, with duality product 〈·, ·〉 : X×Y → R. Given the graph M ⊂ X × Y of a multivalued law T : X → 2 , we state a ...

This work introduces collected size semantics of strict functional programs over lists. The collected size semantics of a function definition is a multivalued size function that collects the dependencies between every possible output size and the corresponding input sizes. Such functions annotate standard types and are defined by conditional rewriting rules generated during type inference. We f...

We provide methods of computing multivalued solutions to the Euler-Poisson system and test them in the context of a klystron amplifier. An Eulerian formulation capable of computing multivalued solutions is derived from a kinetic description of the Euler-Poisson system and a moment closure. The system of the moment equations may be closed due to the special structure of the solution in phase spa...

Multivalued fuzzy behavior control systems for robot navigation have demonstrated more system robustness against sensor and environmental uncertainty and changes in behavioral priorities than univalued fuzzy behavior control systems. However, a major concern for the implementation of multivalued systems is the computational burden associated with the fuzzy inference and deffuzification process....

The purpose of this note is to announce two new theories of generalized differentials—the “generalized differential quotients,” abbr. GDQs, and the “path-integral generalized differentials”, abbr. PIGDs—which have good open mapping properties and lead to general versions of the maximum principle. In particular, we use GDQ theory to state—in Theorem 5— a version of the maximum principle for hybr...

After the introduction of the concept of a fuzzy set by Zadeh, several researches were conducted on the generalizations of the concept of a fuzzy set. The idea of intuitionistic fuzzy set is due to Atanassov [1], [2], [3] and recently Çoker [4] has defined the concept of intuitionistic fuzzy topological space which generalizes the concept of fuzzy topological space introduced by Chang [5]. Heil...

The Dempster-Shafer (D-S) theory of evidence suggests a coherent approach to aggregate evidence bearing on groups of mutually exclusive hypotheses; however, the uncertain relationships between evidence and hypotheses are difficult to represent in applications of the theory. In this paper, we extend the multivalued mapping in the D-S theory to a probabilistic one that uses conditional probabilit...