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Citation - WoS: 56
Best Proximity Point on Different Type Contractions
(Natural Sciences Publishing Corp-nsp, 2011) Karapinar, Erdal; Erhan, Inci M.
In this manuscript, some proximity points are obtained by using different types cyclic contractions. Also, generalized cyclic Meir Keeler contraction is introduced and a new fixed point theorem for this cyclic mapping is stated.
Citation - WoS: 7
Citation - Scopus: 9
Cyclic Contractions and Related Fixed Point Theorems on g-metric Spaces
(Natural Sciences Publishing Corp-nsp, 2014) Bilgili, N.; Erhan, I. M.; Karapinar, E.; Turkoglu, D.
Very recently, Jleli and Samet [53] and Samet et. al. [52] reported that some fixed point result in G-metric spaces can be derived from the fixed point theorems in the setting of usual metric space. In this paper, we prove the existence and uniqueness of fixed points of certain cyclic mappings in the context of G-metric spaces that can not be obtained by usual fixed point results via techniques used in [53,52]. We also give an example to illustrate our statements.
Citation - WoS: 63
Citation - Scopus: 61
Fixed Point Theorem for Cyclic Maps on Partial Metric Spaces
(Natural Sciences Publishing Corp-nsp, 2012) Karapinar, E.; Erhan, I. M.; Ulus, A. Yildiz; Mathematics
In this paper, a class of cyclic contractions on partial metric spaces is introduced. A fixed point theorem for cyclic contractions on partial metric spaces satisfying (psi, phi) contractive condition, and illustrative examples are given.