In this paper, we consider a class of nonlinear fuzzy integral equations of fractional order. The existence and uniqueness of solutions are established by the generalized Schauder theorem and contraction mapping principle.

In this paper, we prove intuitionistic fuzzy quasi-metric version of the Banach contraction principle which extend the famous Grabiec fixed point theorem. By using this result we show the existence of fixed point for contraction mappings on the domain of words and apply this approach to deduce the existence of solution for some recurrence equations associated to the analysis of Quicksort algori...

In this paper, we prove some unique fixed point theorems for a fuzzy mapping T satisfying certain rational contraction condition in a partially ordered metric space. Our results generalize some existing result.

In this paper, we develop existence and uniqueness criteria to certain class of three point boundary value problems associated with third order nonlinear fuzzy differential equations, with the help of Green’s functions and contraction mapping principle.

Abstract This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, fixed point results for set-valued cone-contraction mappings. We theorem rational type cone-contractions spaces. Our extend improve given literature.

A novel fuzzy controller is proposed here to improve the positioning precision of servo system of CNC lathes. To utilize the high–accuracy potential of the VUD fuzzy controller, a grating–ruler was used as a sensor to measure the displacement of work pieces. Designing the VUD fuzzy controller involved five steps, i.e., setting up universes of discourse and parameters, selecting membership funct...

In this paper we establish some fixed point theorems for Generalized Contraction mappings in complete fuzzy 2-metric space which are the extension of some known result of many authors. 1 Introduction In 1965, the concept of fuzzy set was introduced initially by Zadeh [11] since then many authors have expansively developed the theory of fuzzy sets and applications. Especially Deng [1], Ereeg [2]...

Matrix descriptions of higher dimensional spherical branes are investigated. It is known that a fuzzy 2k-sphere is described by the coset space SO(2k+1)/U(k) and has some extra dimensions. It is shown that a fuzzy 2k-sphere is comprised of n k(k−1) 2 spherical D(2k − 1)-branes and has a fuzzy 2(k − 1)-sphere at each point. We can understand the relationship between these two viewpoints by the d...