9 results
Search Results
Now showing 1 - 9 of 9
Article Citation - WoS: 3Citation - Scopus: 6Fixed Points of Α-Admissible Meir-Keeler Contraction Mappings on Quasi-Metric Spaces(Springer international Publishing Ag, 2015) Alsulami, Hamed H.; Gulyaz, Selma; Erhan, Inci M.We introduce alpha-admissible Meir-Keller and generalized alpha-admissible Meir-Keller contractions on quasi-metric spaces and discuss the existence of fixed points of such contractions. We apply our results to G-metric spaces and express some fixed point theorems in G-metric spaces as consequences of the results in quasi-metric spaces.Article Citation - WoS: 15Citation - Scopus: 20A Short Note on c*-valued Contraction Mappings(Springeropen, 2016) Alsulami, Hamed H.; Agarwal, Ravi P.; Karapinar, Erdal; Khojasteh, FarshidIn this short note we point out that the recently announced notion, the C*-valued metric, does not bring about a real extension in metric fixed point theory. Besides, fixed point results in the C*-valued metric can be derived from the desired Banach mapping principle and its famous consecutive theorems.Article Citation - WoS: 38Citation - Scopus: 47Fixed Points of Modified f-contractive Mappings in Complete Metric-Like Spaces(Hindawi Ltd, 2015) Alsulami, Hamed H.; Karapinar, Erdal; Piri, HosseinWe introduce the notion of modified F-contractive mappings in the setting of complete metric-like spaces and we investigate the existence and uniqueness of fixed point of such mappings. The presented results unify, extend, and improve several results in the related literature.Article Citation - WoS: 6Citation - Scopus: 7A Note on Fixed Point Results in Complex-Valued Metric Spaces(Springer international Publishing Ag, 2015) Al-Mezel, Saleh A.; Alsulami, Hamed H.; Karapinar, Erdal; Khojasteh, FarshidIn this paper, we prove that the fixed point results in the context of complex-valued metric spaces can be obtained as a consequence of corresponding existing results in the literature in the setting of associative metric spaces. In particular, we deduce that any complex metric space is a special case of cone metric spaces with a normal cone.Article Citation - WoS: 6Citation - Scopus: 6Some Extensions of Fixed Point Results Over Quasi-js-spaces(Hindawi Ltd, 2016) Noorwali, Maha; Alsulami, Hamed H.; Karapinar, ErdalWe introduce the notion of quasi-JS-metric space. After defining the basic topological properties of quasi-JS-metric space, we investigate fixed point of certain mapping in the frame of complete quasi-JS-metric space. Our results unify and cover several existing fixed point theorems in distinct structures (such as standard quasi-metric spaces, quasi-b-metric spaces, dislocated quasi-metric spaces, and quasi-modular spaces) in the literature.Article Citation - WoS: 20Citation - Scopus: 28Some Extensions for Geragthy Type Contractive Mappings(Springer international Publishing Ag, 2015) Karapinar, Erdal; Alsulami, Hamed H.; Noorwali, MahaIn this paper, we establish some fixed point theorems on some extensions of Geragthy contractive type mappings in the context of b-metric-like spaces.Article Citation - WoS: 3Citation - Scopus: 4A Short-Note on 'common Fixed Point Theorems for Non-Compatible Self-Maps in Generalized Metric Spaces'(Springer international Publishing Ag, 2015) Roldan-Lopez-de-Hierro, Antonio-Francisco; Karapinar, Erdal; Alsulami, Hamed H.The main aim of this short-note is point out that certain hypotheses assumed on some results in the very recent paper (Yang in J. Inequal. Appl. 2014:275, 2014) are unnecessary, and the results contained in that manuscript can easily be improved.Article Citation - WoS: 15Citation - Scopus: 16Ulam-Hyers Stability for Mkc Mappings Via Fixed Point Theory(Hindawi Ltd, 2016) Hassan, Anisa Mukhtar; Karapinar, Erdal; Alsulami, Hamed H.We consider some extension of MKC mappings in the framework of complete dislocated metric spaces. Besides the theoretical results, we also consider some illustrative examples. Further, we state and prove that our main results improved the related results in the frame of generalized Ulam-Hyers stability theory.Article Citation - WoS: 44Citation - Scopus: 49On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory(Hindawi Ltd, 2017) Alharbi, Areej S. S.; Alsulami, Hamed H.; Karapinar, ErdalWe investigate the existence and uniqueness of certain operators which form a new contractive condition via the combining of the notions of admissible function and simulation function contained in the context of complete b-metric spaces. The given results not only unify but also generalize a number of existing results on the topic in the corresponding literature.
