Generalized contraction mapping principle in intuitionistic Menger spaces and application to differential equations

Kutukcu, Servet; Tuna, Adnan; Yakut, Atakan

doi:10.1007/s10483-007-0610-z

Generalized contraction mapping principle in intuitionistic Menger spaces and application to differential equations

Kutukcu S., Tuna A., Yakut A. T.

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, cilt.28, sa.6, ss.799-809, 2007 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 28 Sayı: 6
Basım Tarihi: 2007
Doi Numarası: 10.1007/s10483-007-0610-z
Dergi Adı: APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.799-809
Anahtar Kelimeler: generalized contraction mapping, intuitionistic Menger space, intuitionistic Menger normed space, intuitionistic probabilistic bounded set, FUZZY METRIC-SPACES
Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

Using the idea of Atanassov, we define the notion of intuitionistic Menger spaces as a netural generalizations of Menger spaces due to Menger. We also obtain a new generalized contraction mapping and utilize this contraction mapping to prove the existance theorems of solutions to differential equations in intuitionistic Menger spaces.