التفاصيل البيبلوغرافية
| العنوان: |
Generalized common best proximity point results in fuzzy multiplicative metric spaces. |
| المؤلفون: |
Ishtiaq, Umar, Jahangeer, Fahad, Kattan, Doha A., De la Sen, Manuel |
| المصدر: |
AIMS Mathematics (2473-6988); 2023, Vol. 8 Issue 11, p25454-25476, 23p |
| مصطلحات موضوعية: |
METRIC spaces, FIXED point theory, CONTRACTIONS (Topology), MANUSCRIPTS |
| مستخلص: |
In this manuscript, we prove the existence and uniqueness of a common best proximity point for a pair of non-self mappings satisfying the iterative mappings in a complete fuzzy multiplicative metric space. We consider the pair of non-self mappings X: P → G and Z: P → G and the mappings do not necessarily have a common fixed-point. In a complete fuzzy multiplicative metric space, if φ satisfy the condition φ (b, Zb, ς) = φ (P,G, ς) = φ (b, Xb, ς), then b is a common best proximity point. Further, we obtain the common best proximity point for the real valued functions L,M: (0, 1] → R by using a generalized fuzzy multiplicative metric space in the setting of (L,M)- iterative mappings. Furthermore, we utilize fuzzy multiplicative versions of the (L,M)-proximal contraction, (L,M)-interpolative Reich-Rus-Ciric type proximal contractions, (L,M)-Kannan type proximal contraction and (L,M)-interpolative Hardy-Rogers type proximal contraction to examine the common best proximity points in fuzzy multiplicative metric space. Moreover, we provide differential non-trivial examples to support our results. [ABSTRACT FROM AUTHOR] |
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