Browsing by Author "Tas,K."
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Article Citation Count: 15Best proximity point theorems for KT-types cyclic orbital contraction mappings(2012) Karapınar, Erdal; Petruşel,G.; Tas,K.; MathematicsIn 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.Article Citation Count: 24Fixed point theorem on partial metric spaces involving rational expressions(University of Miskolc, 2013) Karapınar, Erdal; Shatanawi,W.; Tas,K.; MathematicsWe establish a fixed point theorem involving a rational expression in a complete partial metric space. Our result generalizes a well-known result in (usual) metric spaces. Also, we introduce an example to illustrate the usability of our result. © Miskolc University Press.