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Citation - Scopus: 1
Remarks on Some Generalizations of ?-Contraction
(Univ Politehnica Bucharest, Sci Bull, 2023) Karapinar, Erdal; Cvetkovic, Marija
The concept of 0-contraction was modified and generalized in several ways during the last decade. Some assumptions concerning the class T are shown to be superfluous in order to obtain a unique fixed point for a ?-type contraction, ?-Suzuki type and, consequently, ?-contraction. Improvement of several previously published results are derived with a modified contractive condition and we have presented an example of possible application. The same approach was used for the F-Suzuki contraction and numerous generalizations are made.
Citation - WoS: 23
Citation - Scopus: 35
On the Interpolative (Φ, Ψ)-Type Z-Contraction
(Univ Politehnica Bucharest, Sci Bull, 2021) Khan, Mohammad S.; Singh, Y. Mahendra; Karapinar, Erdal
In this paper, we introduce the notions of interpolative (phi, psi)-type Z-contraction with respect to simulation function and quasi triangular theta-orbital admissible mapping. Using these notions, some fixed point theorems are also established in the framework of metric space. An illustrative example is furnished to show that there exists a quasi triangular theta-orbital admissible mapping which is not a triangular theta-admissible. As an application of our result, we establish an existence of solution for a non-linear Fredholm integral equation.

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