Common fixed point theorems for self-mappings in Menger PM-spaces with nonlinear contractive condition
| Autor: | Rale M. Nikolić, Rajendra Pant, Siniša N. Ješić |
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| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Applied Mathematics 010102 general mathematics Fuzzy set 02 engineering and technology 01 natural sciences Nonlinear system Fang Modeling and Simulation 0202 electrical engineering electronic engineering information engineering Common fixed point 020201 artificial intelligence & image processing Geometry and Topology 0101 mathematics Mathematics |
| Zdroj: | Journal of Fixed Point Theory and Applications. 20 |
| ISSN: | 1661-7746 1661-7738 |
| DOI: | 10.1007/s11784-018-0569-7 |
| Popis: | The purpose of this paper is to prove some common fixed point theorems for a pair of self-mappings defined on Menger PM-spaces with nonlinear contractive condition in the sense of Fang (Fuzzy Set Syst 267:86–99, 2015). Following Pant and Pant (Filomat (31)(11):3495–3499, 2017), we define semi R-commutativity for a pair of self-mappings for Menger PM-spaces. Using this notion and the notion of orbital continuity introduced by Ciric (Publ Inst Math (12)(26):19–26, 1971), we obtain the main results. These results generalize some known results. Some examples and comments according to the preceding results are given. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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