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Erhan, İnci
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I.,Erhan
E.,İnci
İ.,Erhan
E.,Inci
İnci, Erhan
E., Inci
Erhan, Inci
Erhan,İ.
Inci, Erhan
Erhan,I.
I., Erhan
Erhan, İnci
Erhan, Inci M.
Erhan, I. M.
Erhan,I.M.
Ercan, I
Erhan, İnci M.
E.,İnci
İ.,Erhan
E.,Inci
İnci, Erhan
E., Inci
Erhan, Inci
Erhan,İ.
Inci, Erhan
Erhan,I.
I., Erhan
Erhan, İnci
Erhan, Inci M.
Erhan, I. M.
Erhan,I.M.
Ercan, I
Erhan, İnci M.
Job Title
Profesör Doktor
Email Address
inci.erhan@atilim.edu.tr
ORCID ID
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Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID
Scholarly Output
62
Articles
56
Citation Count
955
Supervised Theses
4
62 results
Scholarly Output Search Results
Now showing 1 - 10 of 62
Article Citation Count: 12Some fixed point theorems for (α, ψ)-rational type contractive mappings(Springer international Publishing Ag, 2015) Erhan, İnci; Chandok, Sumit; Taoudi, Mohamed-Aziz; Erhan, Inci M.; MathematicsIn 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.Article Citation Count: 16Remarks on 'Coupled coincidence point results for a generalized compatible pair with applications'(Springer international Publishing Ag, 2014) Erhan, İnci; Karapinar, Erdal; Karapınar, Erdal; Shahzad, Naseer; MathematicsVery recently, Hussain et al. (Fixed Point Theory Appl. 2014:62, 2014) announced the existence and uniqueness of some coupled coincidence point. In this short note we remark that the announced results can be derived from the coincidence point results in the literature.Article Citation Count: 67FIXED POINTS OF GENERALIZED α-ADMISSIBLE CONTRACTIONS ON b-METRIC SPACES WITH AN APPLICATION TO BOUNDARY VALUE PROBLEMS(Yokohama Publ, 2016) Aksoy, Ümit; Karapınar, Erdal; Erhan, İnci; MathematicsA general class of alpha-admissible contractions defined via (b)-comparison functions on b-metric spaces is discussed. Existence and uniqueness of the fixed point for this class of contractions is studied. Some consequences are presented. The results are employed in the discussion of existence and uniqueness of solutions of first order boundary value problems for ordinary differential equations.Article Citation Count: 11Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions(Hindawi Ltd, 2012) Erhan, İnci; Karapinar, Erdal; Karapınar, Erdal; MathematicsWe prove coupled coincidence point and coupled fixed point results of F : X x X -> X and g : X -> X involving Meir-Keeler type contractions on the class of partially ordered metric spaces. Our results generalize some recent results in the literature. Also, we give some illustrative examples and application.Article Citation Count: 1APPLICATIONS OF NON-UNIQUE FIXED POINT THEOREM OF CIRIC TO NONLINEAR INTEGRAL EQUATIONS(Department of Mathematics and Computer Sciences, University of Prishtina, 2019) Karapınar, Erdal; Erhan, İnci; Erhan,I.; MathematicsIn this paper we discuss the application of the non-unique fixed point theorem of Cirić to nonlinear Fredholm integral equations. We establish an existence theorem for the solutions of such integral equations and apply the theorem to particular examples. © 2019 Universiteti i Prishtinës, Prishtinë, Kosovë.Article Citation Count: 2Existence of solutions of integral equations via fixed point theorems(Springeropen, 2014) Erhan, İnci; Erhan, Inci M.; MathematicsExistence and uniqueness of fixed points of a mapping defined on partially ordered G-metric spaces is discussed. The mapping satisfies contractive conditions based on certain classes of functions. The results are applied to the problems involving contractive conditions of integral type and to a particular type of initial value problems for the nonhomogeneous heat equation in one dimension. This work is a generalization of the results published recently in (Gordji et al. in Fixed Point Theory Appl. 2012:74, 2012, doi:10.1186/1687-1812-2012-74) to G-metric space.Article Citation Count: 11Microstructural, thermal, and electrical properties of Bi1.7V0.3Sr2Ca2Ca3Ox glass-ceramic superconductor(Wiley-v C H verlag Gmbh, 2004) Kayed, Tarek Said; Erhan, İnci; Aksu, E; Koralay, H; Günen, A; Ercan, I; Cavdar, S; Mathematics; Department of Electrical & Electronics EngineeringA glass-ceramic Bi1.7V0.3Sr2Ca2Cu3Ox superconductor was prepared by the melt-quenching method. The compound was characterized by scanning electron microscopy, x-ray diffraction, differential thermal analysis, current-voltage characteristics, transport resistance measurements, and Hall effect measurements. Two main phases (BSCCO 2212 and 2223) were observed in the x-ray data and the values of the lattice parameters quite agree with the known values for 2212 and 2223 phases. The glass transition temperature was found to be 426 degreesC while the activation energy for crystallization of glass has been found to be E-a = 370.5 kJ / mol. This result indicates that the substitution of vanadium increased the activation energy for the BSCCO system. An offset T-c of 80 K was measured and the onset T-c was 100 K. The Hall resistivity rho(H) was found to be almost field-independent at the normal state. A negative Hall coefficient was observed and no sign reversal of rho(H) or RH could be noticed. The mobility and carrier density at different temperatures in the range 140-300 K under different applied magnetic fields up to 1.4 T were also measured and the results are discussed.Article Citation Count: 53Best Proximity Point on Different Type Contractions(Natural Sciences Publishing Corp-nsp, 2011) Karapınar, Erdal; Erhan, İnci; MathematicsIn 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.Article Citation Count: 61An Ulam stability result on quasi-b-metric-like spaces(Sciendo, 2016) Erhan, İnci; Gulyaz, Selma; Karapınar, Erdal; Erhan, Inci M.; MathematicsIn 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.Article Citation Count: 0ON A GENERALIZED α-ADMISSIBLE RATIONAL TYPE CONTRACTIVE MAPPING(Yokohama Publ, 2016) Erhan, İnci; Kir, Mehmet; MathematicsRecently, many generalized contractive conditions which involve rational contractive inequalities have been introduced in the context of partially ordered metric spaces. In this paper, we aim to give a generalized rational contractive condition which involves some of these results without need of extra restrictions.
