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Article Citation - WoS: 1Citation - Scopus: 2Common Fixed Point of Multifunctions on Partial Metric Spaces(Springer international Publishing Ag, 2015) Aleomraninejad, S. Mohammad Ali; Erhan, Inci M.; Kutbi, Marwan A.; Shokouhnia, MasoumehIn this paper, some multifunctions on partial metric space are defined and common fixed points of such multifunctions are discussed. The results presented in the paper generalize some of the existing results in the literature. Several conclusions of the main results are given.Article Citation - WoS: 3Citation - Scopus: 5Fixed Point Theorems for Generalized Contractions on gp-metric Spaces(Springeropen, 2013) Bilgili, Nurcan; Karapinar, Erdal; Salimi, PeymanIn this paper, we present two fixed point theorems on mappings, defined on GP-complete GP-metric spaces, which satisfy a generalized contraction property determined by certain upper semi-continuous functions. Furthermore, we illustrate applications of our theorems with a number of examples. Inspired by the work of Jachymski, we also establish equivalences of certain auxiliary maps in the context of GP-complete GP-metric spaces. MSC: 47H10, 54H25.Article Citation - WoS: 36Fixed Point Theorem on Partial Metric Spaces Involving Rational Expressions(Univ Miskolc inst Math, 2013) Karapinar, Erdal; Shatanawi, Wasfi; Tas, KenanWe establish a fixed point theorem involving a rational expression in a complete partial metric space. Our result generalizes a well-known result in (usual) metric spaces. Also, we introduce an example to illustrate the usability of our result.Article Citation - WoS: 54WEAK φ-CONTRACTION ON PARTIAL METRIC SPACES(Eudoxus Press, Llc, 2012) Karapinar, ErdalIn this manuscript, the notion of weak phi-contraction is considered on partial metric space. It is shown that a self mapping T on a complete partial metric space X has a fixed point if they satisfied weak phi-contraction.Article Citation - WoS: 28Citation - Scopus: 34A Note on Common Fixed Points for (ψ, Α, Β)-Weakly Contractive Mappings in Generalized Metric Spaces(Springer international Publishing Ag, 2013) Bilgili, Nurcan; Karapinar, Erdal; Turkoglu, DuranVery recently, Isik and Turkoglu (Fixed Point Theory Appl. 2013:131, 2013) proved a common fixed point theorem in a rectangular metric space by using three auxiliary distance functions. In this paper, we note that this result can be derived from the recent paper of Lakzian and Samet (Appl. Math. Lett. 25:902-906, 2012).Article Citation - WoS: 68A Note on Common Fixed Point Theorems in Partial Metric Spaces(Univ Miskolc inst Math, 2011) Karapinar, ErdalIn this manuscript, we consider the notion of generalized Sehgal contraction condition in a partial metric space. For the pair of two self mappings (S, T) which satisfies Sehgal contraction condition, we obtain a unique common fixed point.Article Citation - WoS: 20Citation - Scopus: 25Fixed Point Results for the Α-Meir Contraction on Partial Hausdorff Metric Spaces(Springeropen, 2013) Chen, Chi-Ming; Karapinar, ErdalThe purpose of this paper is to study fixed point theorems for a multi-valued mapping satisfying the alpha-Meir-Keeler contraction with respect to the partial Hausdorff metric H in complete partial metric spaces. Our result generalizes and extends some results in the literature.Article Citation - WoS: 12Citation - Scopus: 6A note on 'Modified proof of Caristi's fixed point theorem on partial metric spaces, Journal of Inequalities and Applications 2013, 2013:210'(Springeropen, 2013) Aydi, Hassen; Karapinar, Erdal; Kumam, PoomIn this note, we emphasize that the proofs and statements of the main results of the paper 'Modified proof of Caristi's fixed point theorem on partial metric spaces' (Journal of Inequalities and Applications 2013, 2013:210) do not have any utility to use the partial metric. Hence, it has no contribution to either partial metric theory or Caristi-type fixed point problems.Article Citation - WoS: 144Citation - Scopus: 163On Interpolative Hardy-Rogers Type Contractions(Mdpi, 2019) Karapinar, Erdal; Alqahtani, Obaid; Aydi, HassenBy 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.Article Citation - WoS: 29Citation - Scopus: 44Fixed Points of Conditionally f-contractions in Complete Metric-Like Spaces(Springer international Publishing Ag, 2015) Karapinar, Erdal; Kutbi, Marwan A.; Piri, Hossein; O'Regan, Donal; O’Regan, DonalIn this paper, we introduce the notion of a conditionally F-contraction in the setting of complete metric-like spaces and we investigate the existence of fixed points of such mappings. Our results unify, extend, and improve several results in the literature.
