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Citation - WoS: 19
Citation - Scopus: 18
Best Proximity Point Theorems for kt-types Cyclic Orbital Contraction Mappings
(House Book Science-casa Cartii Stiinta, 2012) Karapinar, Erdal; Petrusel, Gabriela; Tas, Kenan; Mathematics
In this manuscript, three new KT-types cyclic orbital contractions are defined and some related best proximity point theorems are given. Also, the notion of KT-type cyclic orbital Meir-Keeler contraction is defined and some fixed point theorems for this class of mappings are proved. The results of this manuscript generalize some theorems, on the same subject, of several authors, such as Kirk-Srinavasan-Veeramani, Eldered-Veeramani and Karpagam-Agrawal.
Citation - WoS: 47
Citation - Scopus: 52
Some Remarks on Multidimensional Fixed Point Theorems
(House Book Science-casa Cartii Stiinta, 2014) Roldan, A.; Martinez-Moreno, J.; Roldan, C.; Karapinar, E.; Mathematics
In this paper, we show that most of the multidimensional (including coupled, tripled, quadrupled) fixed point theorems in the context of (ordered) metric spaces are, in fact, immediate consequences of well-known fixed point theorems in the literature.