This manuscript contains several new notions including intuitionistic fuzzy Nb metric space, quasi-Sb-metric pseudo-Sb-metric quasi-N-metric space and pseudo space. We prove decomposition theorem fixed-point results in the setting of Further, we provide non-trivial examples to show validity introduced results. At end, solve an integral equation, system linear equations nonlinear fractional diff...

1. Branciari. A. A fixed point theorem for mappings satisfying a general contractive condition of integral type. Int. J. Math. Math. Sci. 29 (2002), no. 9, 531-536. 2. Cho Y.J., Fixed points in fuzzy metric spaces, J. Fuzzy Math. 5 (4) (1997) 949-962. 3. Grabiec M. , Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems 27 (1988) 385-389. http://dx.doi.org/10.1016/0165-0114(88)90064-4. 4....

Katsaras 1 defined a fuzzy norm on a vector space to construct a fuzzy vector topological structure on the space. Some mathematicians have defined fuzzy norms on a vector space from various points of view 2–4 . In particular, Bag and Samanta 5 , following Cheng and Mordeson 6 , gave an idea of fuzzy norm in such a manner that the corresponding fuzzy metric is of Kramosil and Michálek type 7 . T...

In this paper some results on fixed point theorems for contractive type fuzzy mappings are obtained in fuzzy quasi-pseudo-metric space which extend and generalize the result of Telci and Sahin [8].

7 In this paper, we show that weakly null-additive fuzzy measures on metric spaces possess regularity. Lusin’s theorem, which is well-known in classical measure theory, is generalized to fuzzy measure space by using the 9 regularity and weakly null-additivity. A version of Egoro2’s theorem for the fuzzy measure de3ned on metric spaces is given. An application of Lusin’s theorem to approximation...

In this paper, a concept of generalized weakly contraction mappings in partially ordered fuzzy metric spaces is introduced and  coincidence point  theorems on partially ordered fuzzy metric spaces are proved. Also, as the corollary of these theorems, some common fixed point theorems on partially ordered fuzzy metric spaces are presented.

In this paper we first prove a common fixed point theorem in Lfuzzy metric space. Then we prove fixed point theorems for various compatible maps in L-fuzzy metric spaces.

In this paper,  the concept of fuzzy metric-like spaces is introduced which generalizes  the notion of fuzzy metric spaces given by George and Veeramani cite{Vee1}. Some fixed point results for fuzzy contractive mappings on fuzzy metric-like spaces are derived. These results generalize several comparable results from the current literature. We also provide illustrative examples in support of ou...