Results 21 to 30 of about 3,734 (243)
Mathematics, 2020 Kannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful.
Afrah A. N. Abdou, Mohamed Amine Khamsi
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Common fixed point results on modular ℱ-metric spaces [PDF]
AIP Conference Proceedings, 2019 Jleli and Samet[1] introduced a new concept, named a ℱ-metric space, as a generalization of the notion of metric space. We define new generalization of modular metric space as modular ℱ-metric space. We compare the topology produced by modular metric and by modular ℱ-metric, then cover some useful properties of this topology for fixed point theorems ...
Manav, Nesrin, Türkoğlu, Duran
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Fixed point theorems for Geraghty-type mappings applied to solving nonlinear Volterra-Fredholm integral equations in modular G-metric spaces [PDF]
Arab Journal of Mathematical Sciences, 2021 Purpose – The authors prove the existence and uniqueness of fixed point of mappings satisfying Geraghty-type contractions in the setting of preordered modular G-metric spaces.
Godwin Amechi Okeke, Daniel Francis
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Fixed Points of Multivalued Maps in Modular Function Spaces
Fixed Point Theory and Applications, 2009 The purpose of this paper is to study the existence of fixed points for contractive-type and nonexpansive-type multivalued maps in the setting of modular function spaces. We also discuss the concept of w-modular function and prove fixed point results for
Marwan A. Kutbi, Abdul Latif
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One-Local Retract and Common Fixed Point in Modular Metric Spaces
Abstract and Applied Analysis, 2013 The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced.
Afrah A. N. Abdou
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Fixed Points of Kannan Maps in the Variable Exponent Sequence Spaces ℓp(·)
Mathematics, 2020 Kannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful.
Afrah A. N. Abdou +1 more
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Fixed Point Results for Generalized F-Contractions in Modular b-Metric Spaces with Applications
Mathematics, 2019 The aim of this paper is to generalize the F -contractive condition in the framework of α - ν -complete modular b-metric spaces. Some results in ordered modular b-metric spaces are also presented.
Vahid Parvaneh +4 more
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Convexity and boundedness relaxation for fixed point theorems in modular spaces
Applied General Topology, 2021 Although fixed point theorems in modular spaces have remarkably applied to a wide variety of mathematical problems, these theorems strongly depend on some assumptions which often do not hold in practice or can lead to their reformulations as particular ...
Fatemeh Lael, Samira Shabanian
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Journal of Mathematics, 2021 Extending the Presic type operators to modular spaces, we introduce generalised Presic type w-contractive mappings and strongly w-contractive mappings in a modular metric space and establish fixed-point theorems for such contractions in modular spaces ...
Fahad Sameer Alshammari +3 more
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Topological Algebra and its Applications, 2022 In this study, we demonstrate the existence and uniqueness of common fixed points of a generalized (α,β)− simulation contraction on a non-Archimedean modular metric space.
Öztürk Mahpeyker, Girgin Ekber
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