In this paper, we introduce generalized contraction mapping in fuzzy metric space. Some fixed point theorems for fuzzy metric space in the sense of George and Veeramani [2]. Mathematics Subject Classification: 47H10, 54A40.

The objective of this article is to derive the necessary optimality conditions, known as Pontryagin's minimum principle, for fuzzy optimal control problems based on the concepts of differentiability and integrability of a fuzzy mapping that may be parameterized by the left and right-hand functions of its $alpha$-level sets.

The main contribution in this paper is to introduce an idea of fuzzy cdistance in fuzzy cone metric space. A common fixed point theorem for contraction mapping is established in fuzzy cone metric space by using fuzzy c-distance. Lastly the theorem is justified by a suitable example.

In the piece of this note, we mention various Suzuki-type fuzzy contractive inequalities in 1-Z-complete metric-like spaces for uniqueness and existence a fixed point prove few theorems, which are appropriate generalizations some latest famed results literature. Mainly, generalize Θ-contraction terms also ϓ-contractive mapping view Suzuki-type. For new group functions, acceptable conditions for...

in this paper, existence theorems for the fuzzy volterra-fredholm integral equations of mixed type (fvfiemt) involving fuzzy number valued mappings have been investigated. then, by using banach's contraction principle, sufficient conditions for the existence of a unique solution of fvfiemt are given. finally, illustrative examples are presented to validate the obtained results.