Karapınar, Erdal

Scholarly Output Search Results

Now showing 1 - 6 of 6

Citation - WoS: 21
Citation - Scopus: 23
Best Proximity Points of Generalized Almost Ψ-Geraghty Contractive Non-Self
(Springer international Publishing Ag, 2014) Aydi, Hassen; Karapinar, Erdal; Erhan, Inci M.; Salimi, Peyman
In this paper, we introduce the new notion of almost psi-Geraghty contractive mappings and investigate the existence of a best proximity point for such mappings in complete metric spaces via the weak P-property. We provide an example to validate our best proximity point theorem. The obtained results extend, generalize, and complement some known fixed and best proximity point results from the literature.
Citation - WoS: 29
Citation - Scopus: 42
Mixed g-monotone Property and Quadruple Fixed Point Theorems in Partially Ordered Metric Spaces
(Springer international Publishing Ag, 2012) Mustafa, Zead; Aydi, Hassen; Karapinar, Erdal
In this manuscript, we prove some quadruple coincidence and common fixed point theorems for F : X-4 -> X and g : X -> X satisfying generalized contractions in partially ordered metric spaces. Our results unify, generalize and complement various known results from the current literature. Also, an application to matrix equations is given.
Citation - WoS: 141
Citation - Scopus: 158
On Interpolative Hardy-Rogers Type Contractions
(Mdpi, 2019) Karapinar, Erdal; Alqahtani, Obaid; Aydi, Hassen
By using an interpolative approach, we recognize the Hardy-Rogers fixed point theorem in the class of metric spaces. The obtained result is supported by some examples. We also give the partial metric case, according to our result.
Citation - WoS: 25
Citation - Scopus: 32
Remarks on Some Recent Fixed Point Theorems
(Springer international Publishing Ag, 2012) Aydi, Hassen; Karapinar, Erdal; Samet, Bessem
The purpose of this article is to show that some recent fixed point theorems are particular results of previous existing theorems in the literature. Mathematics Subject Classification 2000: 54H25; 47H10.
Citation - WoS: 78
Citation - Scopus: 63
Discussion on Some Coupled Fixed Point Theorems
(Springer international Publishing Ag, 2013) Samet, Bessem; Karapinar, Erdal; Aydi, Hassen; Rajic, Vesna Cojbasic
In this paper, we show that, unexpectedly, most of the coupled fixed point theorems (on ordered metric spaces) are in fact immediate consequences of well-known fixed point theorems in the literature. MSC: 47H10, 54H25.
Citation - WoS: 28
Citation - Scopus: 25
A Discussion on Generalized Almost Contractions Via Rational Expressions in Partially Ordered Metric Spaces
(Springeropen, 2014) Mustafa, Zead; Karapinar, Erdal; Aydi, Hassen
The main purpose of this paper is to give some fixed point results for mappings involving generalized (phi, psi)-contractions in partially ordered metric spaces. Our results generalize, extend, and unify several well-known comparable results in the literature (Jaggi in Indian J. Pure Appl. Math. 8(2):223-230, 1977, Harjani et al. in Nonlinear Anal. 71:3403-3410, 2009, Luong and Thuan in Fixed Point Theory Appl. 2011:46, 2011). The presented results are supported by three illustrative examples.

Journal	Count
Fixed Point Theory and Applications	59
Abstract and Applied Analysis	42
Journal of Inequalities and Applications	39
Filomat	19
Journal of Applied Mathematics	17

Karapınar, Erdal

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