Browsing by Author "Amor, Sana Hadj"
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Article Citation Count: 22Berinde-Type Generalized Contractions on Partial Metric Spaces(Hindawi Ltd, 2013) Karapınar, Erdal; Amor, Sana Hadj; Karapinar, Erdal; MathematicsWe consider generalized Berinde-type contractions in the context of partial metric spaces. Such contractions are also known as generalized almost contractions in the literature. In this paper, we extend, generalize, and enrich the results in this direction. Some examples are presented to illustrate our results.Article Citation Count: 3A new class of generalized contraction using P-functions in ordered metric spaces(Sciendo, 2015) Karapınar, Erdal; Karapinar, Erdal; Kumam, Poom; MathematicsIn this paper, we introduced and studied a new class of mappings in ordered metric spaces that is inspired from the concept of a P-function introduced in Chaipunya et. al. [10]. With our new class, we furnish fixed point theorems for continuous, noncontinuous, monotonic, and nonmonotonic mappings in various kinds of the ordering structures.Article Citation Count: 3Some Almost Generalized (ψ, φ)-Contractions in G-Metric Spaces(Hindawi Ltd, 2013) Karapınar, Erdal; Amor, Sana Hadj; Karapinar, Erdal; MathematicsIn this paper, we introduce some almost generalized (psi, phi)-contractions in the setting of G-metric spaces. We prove some fixed points results for such contractions. The presented theorems improve and extend some known results in the literature. An example is also presented.