Browsing by Author "Al-Mezel, Saleh A."

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Citation - WoS: 33
Citation - Scopus: 31
Discussion on "multidimensional Coincidence Points" Via Recent Publications
(Hindawi Ltd, 2014) Al-Mezel, Saleh A.; Alsulami, Hamed H.; Karapinar, Erdal; Lopez-de-Hierro, Antonio-Francisco Roldan
We show that some definitions of multidimensional coincidence points are not compatible with the mixed monotone property. Thus, some theorems reported in the recent publications (Dalal et al., 2014 and Imdad et al., 2013) have gaps. We clarify these gaps and we present a new theorem to correct the mentioned results. Furthermore, we show how multidimensional results can be seen as simple consequences of our unidimensional coincidence point theorem.
Citation - WoS: 15
Fixed Point Results for Various Α-Admissible Contractive Mappings on Metric-Like Spaces
(Hindawi Ltd, 2014) Al-Mezel, Saleh A.; Chen, Chi-Ming; Karapinar, Erdal; Rakocevic, Vladimir
We establish some fixed point theorems for alpha-admissible mappings in the context of metric-like space via various auxiliary functions. In particular, we prove the existence of a fixed point of the generalized Meir-Keeler type alpha-phi-contractive self-mapping.. defined on a metric- like space X. The given results generalize, improve, and unify several fixed point theorems for the generalized cyclic contractive mappings that have appeared recently in the literature.
Citation - WoS: 5
Citation - Scopus: 6
A 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, Farshid
In 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.