On optimal fuzzy best proximity coincidence points of fuzzy order preserving proximal (, )-lower-bounding asymptotically contractive mappings in non-Archimedean fuzzy metric spaces.

This paper discusses some convergence properties in fuzzy ordered proximal approaches defined by —sequences of pairs, where is a surjective self-mapping and where and are nonempty subsets of and abstract nonempty set and is a partially ordered non-Archimedean fuzzy metric space which is endowed with a fuzzy metric , a triangular norm * and an ordering The fuzzy set takes values in a sequence or set where the elements of the so-called switching rule are defined from to a subset of Such a switching rule selects a particular realization of at the th iteration and it is parameterized by a growth evolution sequence and a sequence or set which belongs to the so-called -lower-bounding mappings which are defined from [0, 1] to [0, 1]. Some application examples concerning discrete systems under switching rules and best approximation solvability of algebraic equations are discussed.