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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: 19
ON ADMISSIBLE WEAK CONTRACTIONS IN b-METRIC-LIKE SPACE
(Univ Prishtines, 2017) Hammache, K.; Karapinar, E.; Ould-Hammouda, A.
In this work, we establish some fixed point theorems for admissible weak contractions in b-metric-like spaces and b-metric-like spaces endowed with a partial order. Also, we give some fixed point theorems for cyclic contractive mapping in such spaces. The new results in this paper generalize and extend many theorems that we can find in the literature.