A new approach to generalized interpolative proximal contractions in non archimedean fuzzy metric spaces

[摘要] We introduce a new type of interpolative proximal contractive condition that ensures the existence of the best proximity points of fuzzy mappings in the complete non-archimedean fuzzy metric spaces. We establish certain best proximity point theorems for such proximal contractions. We improve and generalize the fuzzy proximal contractions by introducing fuzzy proximal interpolative contractions. The obtained results improve and generalize the best proximity point theorems published in Fuzzy Information and Engineering, 5 (2013), 417–429. Moreover, we provide many nontrivial examples to validate our best proximity point theorem.

[学科分类] 地球科学(综合)

[关键词] best proximity point;generalized fuzzy interpolative proximal contractions;fuzzy metric space