Results 21 to 30 of about 2,683,637 (108)
A pointwise contraction criteria for the existence of fixed points
International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 3, Page 473-480, 1979., 1979 Let S be a subset of a metric space (X, d) and T : S → X be a mapping. In this paper, we define the notion of lower directional increment QT(x, y] of T at x ∈ S in the direction of y ∈ X and give sufficient conditions for T to have a fixed point when QT(x, Tx] < 1 for each x ∈ S. The results herein generalize the recent theorems of Clarke (Caned. Math.
V. M. Sehgal
wiley +1 more source
Revisiting of some outstanding metric fixed point theorems via E-contraction
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this paper, we introduce the notion of α-ψ-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.
Fulga Andreea, Karapınar Erdal
doaj +1 more source
Abstract Leray–Schauder Type Alternatives and Extensions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 We present a Leray–Schauder type alternative for a general class of maps. This enables us to obtain some Birkhoff–Kellogg type results and a Furi–Pera result.
O’Regan Donal
doaj +1 more source
Leray–Schauder Alternatives for Maps Satisfying Countable Compactness Conditions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper we present Leray–Schauder alternatives for a general class of Mönch type maps.
O’Regan Donal
doaj +1 more source
Approximating fixed points of nonexpansive and generalized nonexpansive mappings
, 1991 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 1, Page 81-86, 1993.
M. Maiti, B. Saha
wiley +1 more source
Interpolative Rus-Reich-Ćirić Type Contractions via Simulation Functions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we introduce the notion of interpolative Rus-Reich-Ćirić type 𝒵- contractions in the setting of complete metric space. We also consider some immediate consequences of our main results.
Karapınar Erdal, Agarwal Ravi P.
doaj +1 more source
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In this paper, we study some tripled fixed and coincidence point theorems for two mappings F : X × X × X → X and ɡ : X → X satisfying a nonlinear contraction based on ϕ-maps. Our results extend and improve many existing results in the literature.
Shatanawi Wasfi +2 more
doaj +1 more source
Fixed Point Theory and Applications, 2011 In this article, we establish coincidence point and common fixed point theorems for mappings satisfying a contractive inequality which involves two generalized altering distance functions in ordered complete metric spaces.
Samet Bessem, Kim Jong, Nashine Hemant
doaj
Matkowski theorems in the context of quasi-metric spaces and consequences on G-metric spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we prove the characterization of a Matkowski's theorem in the setting of quasi-metric spaces.
Karapιnar Erdal +2 more
doaj +1 more source
Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces
Fixed Point Theory and Applications, 2011 In this article, a new concept of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems are proved.
Agarwal Ravi +2 more
doaj