Results 41 to 50 of about 701 (84)
Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 2, Page 73-93, 2000., 2000 From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi‐equilibrium theorems. These quasi‐equilibrium theorems are applied to give simple and unified proofs of the known variational ...
Sehie Park
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Fixed Point Index for Simulation Mappings and Applications
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, we construct the fixed point index for a class of contractive mapping defined by a simulation mapping and a measure of noncompact-ness noted by Zµ− contraction maps.
Benmezaï Abdelhamid +2 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.We introduce the new notion of generalized α − ψ rational type contractions of type I and type II in controlled metric spaces. By making use of these new notions, some fixed point theorems are also proved in the mentioned spaces for the α− admissible self maps.
Manoj Kumar +4 more
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Approximating fixed points of nonexpansive mappings
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 3, Page 173-177, 2000., 2000 We consider a mapping S of the form , where αi ≥ 0, α0 > 0, α1 > 0 and . We show that the Picard iterates of S converge to a common fixed point of Ti(i = 1,2,…,k)in a Banach space when Ti(i = 1,2,…,k) are nonexpansive.
Guimei Liu, Deng Lei, Shenghong Li
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An Introduction to C∗‐Algebra‐Valued Metric‐Like Space With Related Applications
Journal of Mathematics, Volume 2025, Issue 1, 2025.It is well‐known that the main objective of metric‐like spaces is to pave way for the development of fixed point results in nonstandard framework, such as in nonsymmetric distance structures, where self‐distances might be nonzero. This objective becomes more achievable when the range set of the distance function is a C∗‐algebra. Unfortunately, the idea
Zulaihatu Tijjani Ahmad +5 more
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Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 1, Page 49-53, 2000., 2000 We shall consider the behaviour of Ishikawa iteration with errors in a uniformly convex Banach space. Then we generalize the two theorems of Tan and Xu without the restrictions that C is bounded and limsupnsn < 1.
Deng Lei, Li Shenghong
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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 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
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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
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On Almost (α, θρ)‐Contractions on Quasimetric Space and Their Fixed Points
Journal 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
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