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In this paper, we prove the existence and uniqueness of solution to the impulsive fuzzy functional differential equations under generalized Hukuhara differentiability via the principle of contraction mappings. Some examples are provided to illustrate the result. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]

In this paper, we study the existence and uniqueness of solutions to initial value problems associated to ordinary fuzzy differential equations with finite delay in the setting of a generalized Hukuhara derivative. Our approach is based on the results of fixed points of weakly contractive mappings on partially ordered metric spaces. [ABSTRACT FROM AUTHOR]

In this paper, it is shown that the category of L-ordered fuzzifying convergence spaces contains the category of pretopological L-ordered fuzzifying convergence spaces as a bircflcctive subcategory and the latter contains the category of topological L-ordered fuzzifying convergence spaces as a bircflective subcategory. Also, it is proved that the category of L-ordered fuzzifying convergence spaces can be embedded in the category of stratified L-ordered convergence spaces as a coreflective subcategory. [ABSTRACT FROM AUTHOR]

In this paper, we provide two different kinds of fixed point the orems in fuzzy metric spaces. The first kind is for the fuzzy ε-contractive type mappings and the second kind is for the fuzzy order Ψ-contractive type mappings. They improve the corresponding conclusions in the literature. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the notion of M-fuzzifying interval spaces, and discuss the relationship between M-fuzzifying interval spaces and M-fuzzifying convex structures. It is proved that the category M Y C SA 2 can be embedded in the category MYIS as a reflective subcategory, where M Y C SA 2 and MY IS denote the category of M-fuzzifying convex structures of M-fuzzifying arity < 2 and the category of M-fuzzifying interval spaces, respectively. Under the framework of M-fuzzifying interval spaces, subspaces and product spaces are presented and some of their fundamental properties are obtained. [ABSTRACT FROM AUTHOR]

The paper deals with special types of bordered sets, L-fuzzy complete lattices, and fuzzy directed complete posets. First, a theorem for constructing monotone maps is proved, a characterization for monotone maps on an L-fuzzy complete lattice is obtained, and i t 's proved that if / is a monotone map on an L-fuzzy complete lattice (F; e), then the least fixpoint of / is meet of a special element of L p . A relation between L-fuzzy complete lattices and fixpomts is found and fuzzy versions of monotonicity, rolling, fusion and exchange rules on L-complete lattices are stated. Finally, we investigate the set of all monotone maps on a fuzzy directed complete posets, DCPOs, and find a condition which under the set of all fixpoints of a monotone map on a fuzzy DCPO is a fuzzy DCPO. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the concept of best proximal contraction theorem s in non-A rchimedean fuzzy metric space for two m appings and prove some proximal theorem s. As a consequence, it provides the existence of an optimal approximate solution to some equations which contains no solution. The obtained results extend further the recently development proximal contractions in non-Archimedean fuzzy metric spaces and famous B anach contraction principle [ABSTRACT FROM AUTHOR]

In this paper, we study the existence of coupled coincidence and coupled common fixed points for single-valued and fuzzy mappings under a contractive condition in metric space. Presented theorems extend and improve the main results of Abbas and Ćirić et al. [M. Abbas, L. Ćirić, et al., Coupled coincidence and common fixed point theorems for hybrid pair of mappings, Fixed Point Theory Appl. (4) (2012) doi:10.1186/1687-1812-2012-4]. [ABSTRACT FROM AUTHOR]

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 [8]. 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 our new results where result from current literature are not applicable. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the notions of fuzzy a-Geraghty contraction type mapping and fuzzy a-contractive mapping and establish some interesting results on the existence and uniqueness of fixed points for these two types of mappings in the setting of fuzzy metric spaces and non-Archimedean fuzzy metric spaces. The main results of our work generalize and extend some known comparable results in the literature. Furthermore, several illustrative examples are given to support the usability of our obtained results. [ABSTRACT FROM AUTHOR]