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.
| dc.contributor.author | Saleem, Naeem | |
| dc.contributor.author | De la Sen, Manuel | |
| dc.contributor.author | Abbas, Mujahid | |
| dc.date.accessioned | 2018-10-15T07:42:41Z | |
| dc.date.available | 2018-10-15T07:42:41Z | |
| dc.date.issued | 2016-09-02 | |
| dc.description.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 socalled 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. | en_US |
| dc.identifier.citation | Sen, M. D. l., Abbas, M., Saleem, N. (2016). 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. Springer Plus, 5(1478), 1-26. (Naeem Saleem (Mathematics /SSC), JCR LISTED (IF:0.982)) | en_US |
| dc.identifier.uri | https://escholar.umt.edu.pk/handle/123456789/3226 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Plus | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | Fixed points, Best proximity points, Fuzzy set, Fuzzy metric, Optimal fuzzy best proximity coincidence points, Proximal, Ψ (σ, α)-Lower-bounding mapping, Ψ (σ, α)-Lower-bounding asymptotically contractive mapping, Switching rule. | en_US |
| dc.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. | en_US |
| dc.type | Article | en_US |