Results 21 to 30 of about 343 (69)
Topological Transversality Principles and General Coincidence Theory
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 This paper presents general topological coincidence principles for multivalued maps defined on subsets of completely regular topological spaces.
O’Regan Donal
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Some fixed point theorems for set valued directional contraction mappings
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 3, Page 455-460, 1980., 1980 Let S be a subset of a metric space X and let B(X) be the class of all nonempty bounded subsets of X with the Hausdorff pseudometric H. A mapping F : S → B(X) is a directional contraction iff there exists a real α ∈ [0, 1) such that for each x ∈ S and y ∈ F(x), H(F(x), F(z)) ≤ αd(x, z) for each z ∈ [x, y]∩S, where [x, y] = {z ∈ X : d(x, z) + d(z, y ...
V. M. Sehgal
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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
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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
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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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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
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Some Fixed Point Theorems for Kannan Mappings [PDF]
, 2010 2000 Mathematics Subject Classification: Primary: 47H10; Secondary: 54H25.Some results on the existence and uniqueness of fixed points for Kannan mappings on admissible subsets of bounded metric spaces and on bounded closed convex subsets of complete ...
Narang, T. D., Tejpal, Shavetambry
core
Equivariant Nielsen invariants for discrete groups
, 2006 For discrete groups G, we introduce equivariant Nielsen invariants. They are equivariant analogs of the Nielsen number and give lower bounds for the number of fixed point orbits in the G-homotopy class of an equivariant endomorphism f:X->X.
Weber, Julia
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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
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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.
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