التفاصيل البيبلوغرافية
| العنوان: |
Some results on best proximity points of cyclic alpha-psi contractions in Menger probabilistic metric spaces. |
| المؤلفون: |
Sen, M.1 manuel.delasen@ehu.es, Roldán, Antonio2 afroldan@ujaen.es |
| المصدر: |
Mathematical Sciences. Jun2017, Vol. 11 Issue 2, p95-111. 17p. |
| مصطلحات موضوعية: |
*METRIC spaces, *EXISTENCE theorems, *CAUCHY problem, *GENERALIZATION, *FIXED point theory |
| مستخلص: |
This paper investigates properties of convergence of distances of $$p$$ -cyclic $$\alpha$$ - $$\psi$$ -type contractions on the union of the $$p$$ subsets of a space $$X$$ defining probabilistic metric spaces and Menger spaces. The paper also investigates the characterization of both Cauchy and $$G$$ -Cauchy sequences which are convergent, in particular, to best proximity points. On the other hand, the existence and uniqueness of fixed points and best proximity points of $$p$$ -cyclic $$\alpha$$ - $$\psi$$ -type contractions are also investigated. The fixed points of the $$p$$ -composite self-mappings, which are obtained from the $$p$$ -cyclic self-mapping restricted to each of the $$p$$ subsets in the cyclic disposal, are also investigated while a generalization and some illustrative examples are also given. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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