In this article, we introduced an iterative scheme for finding a common element of the set of fixed points of a multi-valued hemicontractive-type mapping, the set of common solutions of a finite family of split equilibrium problems and the set of common solutions of a finite family of variational inequality problems in real Hilbert spaces. Moreover, the sequence generated by the proposed algorithm is proved to be strongly convergent to a common solution of these three problems under mild conditions on parameters. Our results improve and generalize many well-known recent results existing in the literature in this field of research.

Endpoint results are presented for multi{valued cyclic contraction mappings on complete metric spaces (X; d). Our results extend previous results given by Nadler (1969), Da er{Kaneko (1995), Harandi (2010), Moradi and Kojasteh (2012) and Karapinar (2011).

Introducing more types of integrals will provide more choices to deal with various types of objectives and components in real problems. Firstly, in this paper, a (T) fuzzy integral, in which the integrand, the measure and the integration result are all multi-valued, is presented with the introduction of T-norm and T-conorm. Then, some classical results of the integral are obtained based on the properties of T-norm and T-conorm mainly. The presented integral can act as an aggregation tool which is especially useful in many information fusing and data mining problems such as classication and programming.

In this paper, a fractional multi-objective multiproduct solid transportation problem with interval costs, supply, demand, and conveyances is investigated based on fuzzy programming approach. To minimize the problem, the order relations that represent the decision maker's (DM) performance between interval costs, supply, demand and conveyances are defined by the right limit, and the left limit. Through the deterministic problem is obtained, a fuzzy programming approach is applied by defining membership functions. A linear membership function is being used for obtaining optimal compromise solution. Finally, a numerical example is given to the utility of the approach.