In this paper, we consider a generalization of α-ψ-Geraghty contractions and investigate the existence and uniqueness of fixed point for the mapping satisfying this condition. We illustrate an… (More)

*Correspondence: ierhan@atilim.edu.tr 1Department of Mathematics, Atilim University, İncek, Ankara 06836, Turkey Full list of author information is available at the end of the article Abstract The… (More)

Given a certain type of operator on a partial metric space, new Ćirić types, non-unique fixed point theorems, generalizing the related work of Ćirić [On some maps with a non-unique fixed… (More)

In this manuscript, the existence of the best proximity of Kannan Type cyclic weak φ-contraction in ordered metric spaces is investigated. Some results of Rezapour-Derafshpour-Shahzad [22] are… (More)

and Applied Analysis 3 Lemma 1.6 see 8 . Let X, d be a CMS over a cone P in E. Then 1 int P int P ⊆ int P and λ int P ⊆ int P , λ > 0. 2 If c 0, then there exists δ > 0 such that ‖b‖ < δ implies that… (More)

*Correspondence: erdalkarapinar@yahoo.com; ekarapinar@atilim.edu.tr 2Department of Mathematics, Atilim University, Incek, Ankara 06836, Turkey Full list of author information is available at the end… (More)

*Correspondence: erdalkarapinar@yahoo.com; ekarapinar@atilim.edu.tr 1Department of Mathematics, Atilim University, Incek, Ankara 06836, Turkey Full list of author information is available at the end… (More)

In this paper, we give and prove some coupled coincidence point theorems for mappings F : X × X → X and g : X → X in partially ordered metric space X, where F has the mixed g-monotone property. Our… (More)