Filters

2015 - 20194
Reset filters

Settings

Subject: metric spaceWoS Q: Q2

Search Results

Now showing 1 - 4 of 4
  • Thumbnail Image
    Article
    Citation - WoS: 3
    Citation - Scopus: 4
    A New Class of Generalized Contraction Using p-functions in Ordered Metric Spaces
    (Sciendo, 2015) Amor, Sana Hadj; Karapinar, Erdal; Kumam, Poom
    In 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.
  • Thumbnail Image
    Article
    Citation - WoS: 21
    Citation - Scopus: 23
    On (α, Ψ)-k-contractions in the Extended b-metric Space
    (Univ Nis, Fac Sci Math, 2018) Alqahtani, Badr; Karapinar, Erdal; Ozturk, Ali
    In this paper, we introduce a notion of (alpha, psi)-K-contraction in the setting of extended b-metric spaces and investigate the existence of a fixed point. The presented results generalize and unify a number of well-known fixed point theorem mainly in two distinct aspects; in the sense of the contraction conditions and in the frame of abstract spaces.
  • Thumbnail Image
    Article
    Citation - WoS: 5
    Citation - Scopus: 6
    Revisiting of Some Outstanding Metric Fixed Point Theorems Via e-contraction
    (Ovidius Univ Press, 2018) Fulga, Andreea; Karapinar, Erdal
    In this paper, we introduce the notion of alpha-psi-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings. We also list some examples to illustrate our results that unify and generalize the several well-known results including the famous Banach contraction mapping principle.
  • Thumbnail Image
    Article
    Citation - WoS: 141
    Citation - Scopus: 162
    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.