Results 21 to 30 of about 66 (65)
Significance of F‐Contraction After Proinov’s Fixed‐Point Results
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Wardowski laid out his idea of an F‐contraction mapping, which provides an imperative generalization of the Banach contraction principle, back in 2012. Although Wardowski’s work has generated considerable interest in fixed‐point theory, motivating many researchers to extend these results to more general spaces, to investigate broader classes of ...
Naeem Saleem +4 more
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Related fixed points for set valued mappings on two metric spaces
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 3, Page 205-210, 2000., 2000 Some related fixed points theorems for set valued mappings on two complete and compact metric spaces are proved.
Brian Fisher, Duran Türkoglu
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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
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This manuscript investigates certain fixed point outcomes for an extended almost weak contraction map in a metric space equipped with a locally transitive binary relation. The insights achieved here improve, broaden, solidify and advance a number of noteworthy findings.
Doaa Filali +6 more
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Some results on maximal elements
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 6, Page 409-413, 2000., 2000 We prove some results on maximal elements using the KKM‐map principle.
Antonio Carbone
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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
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper presents a novel class of paired contractions to establish fixed point results for multivalued mappings within the framework of partial metric spaces. Requirements for the existence of fixed points are investigated, and a few nontrivial instances are given to illustrate the usefulness and relevance of the proposed notions.
Rhoda Chiroma +5 more
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A theorem of Meir‐Keeler type revisited
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 7, Page 507-511, 2000., 2000 In 1993, the authors presented a fixed point theorem of Meir‐Keeler type. The proposed proof of a lemma—on which the said theorem depends on—is invalid. In this note, we alter the statement of this lemma and give a valid proof thereof, so that the main result of the previous paper is still true.
Y. J. Cho, P. P. Murthy, G. Jungck
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThis 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
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New Fixed Point Principles Based on Decreasing Auxiliary Functions and Their Applications
Journal of Mathematics, Volume 2026, Issue 1, 2026.This work introduces a novel contractive framework, referred to as the G‐contraction, which is formulated via a decreasing function G : (0, ∞)⟶(0, ∞) satisfying a collection of axioms distinct from those associated with F‐contractions and θ‐contractions.
Rabeb Sidaoui +4 more
wiley +1 more source