The existence theorems for fixed and periodic points of nonexpansive mappings in intuitionistic fuzzy metric spaces
| Autor: | Jeong Sheok Ume, Siniša N. Ješić, Ljubomir Ćirić |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Discrete mathematics
Class (set theory) General Mathematics Applied Mathematics Open problem General Physics and Astronomy Intuitionistic fuzzy Statistical and Nonlinear Physics 02 engineering and technology 01 natural sciences Mathematics::Logic Metric space 0103 physical sciences 0202 electrical engineering electronic engineering information engineering Metric map 020201 artificial intelligence & image processing 010301 acoustics Mathematics |
| Zdroj: | Chaos, Solitons & Fractals. 37:781-791 |
| ISSN: | 0960-0779 |
| DOI: | 10.1016/j.chaos.2006.09.093 |
| Popis: | In this paper we introduce and investigate a class of asymptotically nonexpansive mappings which properly extends the class of nonexpansive mappings. We proved general existence theorems for fixed and periodic points of these mappings in arbitrary intuitionistic fuzzy metric spaces and so we solved an open problem, related to periodic points. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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