Browsing by Author "Alsulami, Hamed H."

Now showing 1 - 20 of 22

Citation - WoS: 27
Citation - Scopus: 31
Ciric Type Nonunique Fixed Point Theorems on b-metric Spaces
(Univ Nis, Fac Sci Math, 2017) Alsulami, Hamed H.; Karapinar, Erdal; Rakocevic, Vladimir; Mathematics
In this paper, inspired the very interesting results of Ciric [20], we investigate the existing non-unique fixed points of certain operators in the context of b-metric spaces. Our main results unify and cover several existing results on the topic in the literature.
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; Mathematics
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: 29
Citation - Scopus: 43
Fixed Point Theorems for a Class of Α-Admissible Contractions and Applications To Boundary Value Problem
(Hindawi Publishing Corporation, 2014) Alsulami, Hamed H.; Gulyaz, Selma; Karapinar, Erdal; Erhan, Inci M.; Mathematics
A class of alpha-admissible contractions defined via altering distance functions is introduced. The existence and uniqueness conditions for fixed points of such maps on complete metric spaces are investigated and related fixed point theorems are presented. The results are reconsidered in the context of partially ordered metric spaces and applied to boundary value problems for differential equations with periodic boundary conditions.
Citation - WoS: 10
Citation - Scopus: 15
Fixed Points of Generalized Contractive Mappings of Integral Type
(Springer international Publishing Ag, 2014) Alsulami, Hamed H.; Karapinar, Erdal; O'Regan, Donal; Shahi, Priya; Mathematics
The aim of this paper is to introduce classes of alpha-admissible generalized contractive type mappings of integral type and to discuss the existence of fixed points for these mappings in complete metric spaces. Our results improve and generalize fixed point results in the literature.
Citation - WoS: 37
Citation - Scopus: 45
Fixed Points of Modified f-contractive Mappings in Complete Metric-Like Spaces
(Hindawi Ltd, 2015) Alsulami, Hamed H.; Karapinar, Erdal; Piri, Hossein; Mathematics
We 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.
Citation - WoS: 3
Citation - Scopus: 6
Fixed 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.; Mathematics
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.
Citation - WoS: 3
Citation - Scopus: 3
An Illusion: "a Suzuki Type Coupled Fixed Point Theorem"
(Hindawi Publishing Corporation, 2014) Alsulami, Hamed H.; Karapinar, Erdal; Kutbi, Marwan A.; Roldan-Lopez-de-Hierro, Antonio-Francisco; Mathematics
We admonish to be careful on studying coupled fixed point theorems since most of the reported fixed point results can be easily derived from the existing corresponding theorems in the literature. In particular, we notice that the recent paper [Semwal and Dimri (2014)] has gaps and the announced result is false. The authors claimed that their result generalized the main result in [Doric and Lazovic (2011)] but, in fact, the contrary case is true. Finally, we present a fixed point theorem for Suzuki type (alpha, r)-admissible contractions.
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; Mathematics
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.
Citation - WoS: 25
Citation - Scopus: 24
On the Extended Multivalued Geraghty Type Contractions
(int Scientific Research Publications, 2016) Afshari, Hojjat; Alsulami, Hamed H.; Karapinar, Erdal; Mathematics
In this paper we present some absolute retract results for modified Geraghty multivalued type contractions in b-metric space. Our results, generalize several existing results in the corresponding literature. We also present some examples to support the obtained results. (C) 2016 all rights reserved.
Citation - WoS: 44
Citation - Scopus: 48
On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory
(Hindawi Ltd, 2017) Alharbi, Areej S. S.; Alsulami, Hamed H.; Karapinar, Erdal; Mathematics
We 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.
Citation - WoS: 57
Citation - Scopus: 62
A Proposal to the Study of Contractions in Quasi-Metric Spaces
(Hindawi Ltd, 2014) Alsulami, Hamed H.; Karapinar, Erdal; Khojasteh, Farshid; Roldan-Lopez-de-Hierro, Antonio-Francisco; Mathematics
We investigate the existence and uniqueness of a fixed point of an operator via simultaneous functions in the setting of complete quasi-metric spaces. Our results generalize and improve several recent results in literature.
Citation - WoS: 1
Rational Contractive Mappings of Integral Type on b-metric Spaces
(Univ Prishtines, 2017) Alsulami, Hamed H.; Karapinar, Erdal; Piri, Hossien; Rahrovi, Samira; Zarghami, Ramazan; Mathematics
The aim of this paper is to introduce (alpha, psi)- rational contractive mappings of integral type and analyze the existence of fixed points for these mappings in b-metric spaces. Our results extend the results in Karapinar et al. [35] and well known fixed point theorems in the literature.
Citation - WoS: 5
Citation - Scopus: 9
Remarks on Some Recent Fixed Point Results on Quaternion-Valued Metric Spaces
(Hindawi Ltd, 2014) Agarwal, Ravi P.; Alsulami, Hamed H.; Karapinar, Erdal; Khojasteh, Farshid; Mathematics
Very recently, Ahmed et al. introduced the notion of quaternion-valued metric as a generalization of metric and proved a common fixed point theorem in the context of quaternion-valued metric space. In this paper, we will show that the quaternion-valued metric spaces are subspaces of cone metric spaces. Consequently, the fixed point results in such spaces can be derived as a consequence of the corresponding existing fixed point result in the setting cone metric spaces.
Citation - WoS: 13
Citation - Scopus: 17
A Short Note on c*-valued Contraction Mappings
(Springeropen, 2016) Alsulami, Hamed H.; Agarwal, Ravi P.; Karapinar, Erdal; Khojasteh, Farshid; Mathematics
In 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.
Citation - WoS: 3
Citation - Scopus: 4
A 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.; Mathematics
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.
Citation - WoS: 20
Citation - Scopus: 27
Some Extensions for Geragthy Type Contractive Mappings
(Springer international Publishing Ag, 2015) Karapinar, Erdal; Alsulami, Hamed H.; Noorwali, Maha; Mathematics
In this paper, we establish some fixed point theorems on some extensions of Geragthy contractive type mappings in the context of b-metric-like spaces.
Citation - WoS: 6
Citation - Scopus: 6
Some Extensions of Fixed Point Results Over Quasi-js-spaces
(Hindawi Ltd, 2016) Noorwali, Maha; Alsulami, Hamed H.; Karapinar, Erdal; Mathematics
We 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.
Citation - WoS: 12
Citation - Scopus: 17
Some fixed point theorems for (α, ψ)-rational type contractive mappings
(Springer international Publishing Ag, 2015) Alsulami, Hamed H.; Chandok, Sumit; Taoudi, Mohamed-Aziz; Erhan, Inci M.; Mathematics
In this paper, we introduce the concept of (alpha, psi)-rational type contractive mappings and provide sufficient conditions for the existence and uniqueness of a fixed point for such class of generalized nonlinear contractive mappings in the setting of generalized metric spaces. We also deduce several interesting corollaries.
Citation - WoS: 10
Citation - Scopus: 9
Some Inevitable Remarks on "tripled Fixed Point Theorems for Mixed Monotone Kannan Type Contractive Mappings"
(Hindawi Publishing Corp, 2014) Alsulami, Hamed H.; Roldan-Lopez-de-Hierro, Antonio-Francisco; Karapinar, Erdal; Radenovic, Stojan; Mathematics
We advise that the proof of Theorem 12 given by Borcut et al. (2014) is not correct, and it cannot be corrected using the same technique. Furthermore, we present some similar results as an approximation to the opened question if that statement is valid.
Citation - WoS: 65
An Ulam stability result on quasi-b-metric-like spaces
(Sciendo, 2016) Alsulami, Hamed H.; Gulyaz, Selma; Karapinar, Erdal; Erhan, Inci M.; Mathematics
In this paper a class of general type alpha-admissible contraction mappings on quasi-b-metric-like spaces are defined. Existence and uniqueness of fixed points for this class of mappings is discussed and the results are applied to Ulam stability problems. Various consequences of the main results are obtained and illustrative examples are presented.