| Autor: |
Murali, A., Muthunagai, K. |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; 2024, Vol. 3180 Issue 1, p1-19, 19p |
| Abstrakt: |
This article is aimed at proving the existence and uniqueness of common fixed point theorems for a pair of self maps satisfying a new rational type condition in complex valued metric spaces. Interpolation approach has been used in this work to get a common fixed point. We have proved some new common fixed point theorems on complex valued metric space for a new type of interpolative rational contractive condition by choosing a complex degree of freedom of power α with an additional degree of freedom of power β, which is also complex valued, on the right hand side of the condition. The results obtained generalize some theorems of Karapinar [1], Noorwali [2], Sarwar et al. [3], Pandey and Tiwari [4] and Gaba and Karapınar [5] in real valued metric spaces to complex valued metric spaces. Also, we have proved and generalized few fixed point theorems on complex valued metric space for a pair of mappings under various conditions. Moreover some applications and examples validating the results have been discussed. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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