Results 61 to 70 of about 1,194 (112)
Journal of Mathematics, Volume 2025, Issue 1, 2025.The purpose of this paper is to study the fixed point problem of cyclic mapping in the generalized metric spaces. In an extended b‐metric space, we introduce a new cyclic mapping, which is called LB3S2‐type cyclic mapping into this space, a specific example of LB3S2‐type cyclic mapping is shown, and the fixed point theorem for it is established.
Shengquan Weng +2 more
wiley +1 more source
Some new fixed point theorems of α-partially nonexpansive mappings
Demonstratio MathematicaIn this paper, we introduce a new class of nonlinear mappings and compare it to other classes of nonlinear mappings that have appeared in the literature.
Shukla Rahul
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Common Fixed Point Theorems for Order Contractive Mappings on a σ‐Complete Vector Lattice
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we prove some common fixed point theorems for order contractive mappings on a σ‐complete vector lattice. We apply new results to study the well‐posedness of a common fixed point problem for two contractive mappings. Our proofs are simple and purely order‐theoretic in nature.
Min Wang +4 more
wiley +1 more source
Composite iterative schemes for maximal monotone operators in reflexive Banach spaces
Fixed Point Theory and Applications, 2011 In this article, we introduce composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach space. Then, we prove strong convergence theorems by using a shrinking projection method.
Cho Yeol +2 more
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A look at nonexpansive mappings in non-Archimedean vector spaces
Moroccan Journal of Pure and Applied Analysis, 2021 In a spherically complete ultrametric space every nonexpansive self-mapping T has a fixed point ̄x or a minimal invariant ball B(̄x, d(̄x, T(̄x)). We show how we can approximate this fixed center ̄x in a non-Archimedean vector space.
Lazaiz Samih
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Fixed Point Theory and Applications, 2011 In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative ...
Qin Xiaolong, Kang Shin, Agarwal Ravi
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Convergence results on Picard-Krasnoselskii hybrid iterative process in CAT(0) spaces
Open Mathematics, 2021 We get the strong and Δ\Delta -convergence of the Picard-Krasnoselskii hybrid iteration scheme to a fixed point of a self-map endowed with the condition (Bγ,μ)\left({B}_{\gamma ,\mu }). We use the nonlinear context of CAT(0) spaces for establishing these
Ahmad Junaid +4 more
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Demonstratio MathematicaThis manuscript is devoted to constructing a novel iterative scheme and reckoning of fixed points for generalized contraction mappings in hyperbolic spaces.
Ahmad Fayyaz +4 more
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Open Mathematics, 2016 In this paper we introduce a property and use this property to prove some common fixed point theorems in b-metric space. We also give some fixed point results on b-metric spaces endowed with an arbitrary binary relation which can be regarded as ...
Yamaod Oratai +2 more
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Computation of solution of integral equations via fixed point results
Demonstratio Mathematica, 2022 The motive of this article is to study a modified iteration scheme for monotone nonexpansive mappings in the class of uniformly convex Banach space and establish some convergence results. We obtain weak and strong convergence results.
Alqudah Manar A. +3 more
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