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- W2511935086 abstract "This paper discusses some convergence properties in fuzzy ordered proximal approaches defined by {(gn,Tn)}—sequences of pairs, where g:A→A is a surjective self-mapping and T:A→B, where Aand Bare nonempty subsets of and abstract nonempty set X and (X,M,∗,≺̲) is a partially ordered non-Archimedean fuzzy metric space which is endowed with a fuzzy metric M, a triangular norm * and an ordering ≺̲. The fuzzy set M takes values in a sequence or set {Mσn} where the elements of the so-called switching rule {σn}⊂Z+ are defined from X×X×Z0+ to a subset of Z+. Such a switching rule selects a particular realization of M at the nth iteration and it is parameterized by a growth evolution sequence {αn} and a sequence or set {ψσn} which belongs to the so-called Ψ(σ,α)-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." @default.
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- W2511935086 date "2016-09-02" @default.
- W2511935086 modified "2023-09-22" @default.
- W2511935086 title "On optimal fuzzy best proximity coincidence points of fuzzy order preserving proximal Ψ(σ, α)-lower-bounding asymptotically contractive mappings in non-Archimedean fuzzy metric spaces" @default.
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- W2511935086 doi "https://doi.org/10.1186/s40064-016-3116-2" @default.
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