Results 61 to 70 of about 116 (109)

New common fixed point results in digital metric space

open access: yesDemonstratio Mathematica
In this paper, we develop a new common fixed-point theorem tailored specifically to digital metric spaces, where the discrete nature of pixel grids demands specialized distance and contraction concepts.
Özkapu Aybala Sevde, Acar Özlem
doaj   +1 more source

Tripled and coincidence fixed point theorems for contractive mappings satisfying Φ-maps in partially ordered metric spaces

open access: yesAnalele 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 Result for Generalized Enriched Contractions With Applications in Cantilever Beam Problem and Homotopy Theory

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, we introduce a novel class of mappings called orthogonal extended interpolative enriched Ćirić–Reich–Rus type ψF‐contractions and establish fixed‐point results within the framework of orthogonal complete convex extended b‐metric spaces. The unique fixed point is approximated using a Krasnoselskii‐type iterative method. To demonstrate the
Shivani Kukreti   +4 more
wiley   +1 more source

A Homotopy Theory for Maps Having Strongly Convexly Totally Bounded Ranges in Topological Vector Spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
This paper presents Leray–Schauder alternatives and a topological transversality (homotopy) theorem for compact upper semicontinuos maps having (strongly) convexly totally bounded ranges.
O’Regan Donal
doaj   +1 more source

On Almost (α, θρ)‐Contractions on Quasimetric Space and Their Fixed Points

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we introduce the concept of almost (α, θρ)‐contraction mappings on quasimetric spaces. Then, under certain conditions, we present some fixed‐point results for almost (α, θρ)‐contraction mappings with respect to ω and γ on both left K‐complete and left M‐complete quasimetric spaces.
Gonca Durmaz Güngör   +4 more
wiley   +1 more source

On Boyd-Wong type multivalued contractions and solvability of (k − ~)-Hilfer fractional differential inclusions

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this article, we introduce the Boyd-Wong type multivalued contractions and demonstrate that such mappings have a fixed point. Additionally, we look at the solvability of a few (k – ~)-Hilfer initial value fractional differential inclusions of order n −
Paunovic Marija   +2 more
doaj   +1 more source

Existence results for an impulsive neutral integro-differential equations in Banach spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this manuscript we investigate the existence of mild solution for a abstract impulsive neutral integro-differential equation by using semi-group theory and Krasnoselskii-Schaefer fixed point theorem in different approach.
Usha Venkatesh   +2 more
doaj   +1 more source

Interpolative contractions on perturbed metric spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In the present paper, we propose a new notion, namely, the interpolative contractions in the context of the perturbed metric spaces. For these mappings, we give a fixed-point result and provide an example to support the advances brought by the new ...
Karapınar Erdal   +2 more
doaj   +1 more source

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