In this paper, we determine some stability results concerning the 2-dimensional vector variable quadratic functional equation f(x+ y, z + w) + f(x − y, z − w) = 2f(x, z) + 2f(y, w) in intuitionistic fuzzy normed spaces (IFNS). We define the intuitionistic fuzzy continuity of the 2-dimensional vector variable quadratic mappings and prove that the existence of a solution for any approximately 2-d...

The aim of this paper is to extend the concept of fuzzy sgIrresolute mappings due to Tapi, Thakur and Rathore [14] for intuitionistic fuzzy topological spaces and some of its basic properties are studied.

We introduce a fuzzy metric on the set of probability measures on a fuzzy metric space. The construction is an analogue, in the realm of fuzzy metric spaces, of the Prokhorov metric on the set of probability measures on compact metric spaces. © 2011 Elsevier B.V. All rights reserved.

The applications of non-zero self distance function have recently been discovered in both symmetric and asymmetric spaces. With respect to invariant point results, the available literature reveals that idea has only examined for crisp mappings either or Hence, aim this paper is introduce notion points non-crisp set-valued metric-like To effect, technique κ-contraction Feng-Liu’s approach are co...

*Corresponding address: [email protected] Received 14 September, 2010; Revised 29 April, 2011 ABSTRACT Ever since the introduction of fuzzy sets by Zadeh [1] , the fuzzyness invaded almost all the branches of crisp mathematics. Deng [3] kaleva and Seikalla [2] and Kramosil and Michalek [5]Have introduced the concept of fuzzy metric space, George and Veeramani [4] modified the concept of...