Results 1 to 10 of about 1,081 (132)
The concept of cone b-Banach space and fixed point theorems
Open Mathematics, 2021 In this article, the concepts of cone b-norm and cone b-Banach space are given. Some new fixed point theorems in cone b-Banach spaces are established. The new results improve some fixed point theorems in cone Banach spaces.
Yang Chen, Zhu Xiaolin
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Results in Strongly Minihedral Cone and Scalar Weighted Cone Metric Spaces and Applications
Annales Mathematicae Silesianae, 2021 The convergence of sequences and non-unique fixed points are established in ℳ-orbitally complete cone metric spaces over the strongly minihedral cone, and scalar weighted cone assuming the cone to be strongly minihedral.
Tomar Anita, Joshi Meena
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On θ-generalized demimetric mappings and monotone operators in Hadamard spaces
Demonstratio Mathematica, 2020 Our main interest in this article is to introduce and study the class of θ-generalized demimetric mappings in Hadamard spaces. Also, a Halpern-type proximal point algorithm comprising this class of mappings and resolvents of monotone operators is ...
Ogwo Grace N. +3 more
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A Note on Brondsted's Fixed Point Theorem [PDF]
arXiv, 2023 We show that for the case of uniformly convex Banach spaces the conditions of the Brondsted fixed point theorem can be relaxed.
arxiv
Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion
Demonstratio Mathematica, 2020 In this paper, we study the Hyers-Ulam stability of a nonautonomous semilinear reaction-diffusion equation. More precisely, we consider a nonautonomous parabolic equation with a diffusion given by the fractional Laplacian. We see that such a stability is
Villa-Morales José
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Some Fixed Point Theorems Via Combination of Weak Contraction and Caristi Contractive Mapping
Annales Mathematicae Silesianae, 2021 In this paper we introduce some new types of contractive mappings by combining Caristi contraction, Ćirić-quasi contraction and weak contraction in the framework of a metric space.
Roy Kushal +3 more
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Existence of zeros for operators taking their values in the dual of a Banach space [PDF]
Fixed Point Theory Appl. 2004, no. 3, 187--194, 2003 We prove, under certain conditions, the existence of zeros for a weakly continuous operator on a paracompact topological space into the dual of a Banach space.
arxiv +1 more source
Demonstratio Mathematica, 2023 We introduced a new general class of Prešić-type operators, by enriching the known class of Prešić contractions. We established conditions under which enriched Prešić operators possess a unique fixed point, proving the convergence of two different ...
Păcurar Mădălina
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Demonstratio Mathematica, 2023 The paradigm of choice practice represents the psychological theory of learning in the development of moral judgment. It is concerned with evaluating the implications of several choices and selecting one of them to implement.
Turab Ali +3 more
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On multivalued Suzuki-type θ-contractions and related applications
Open Mathematics, 2020 In this study, we develop the concept of multivalued Suzuki-type θ-contractions via a gauge function and established two new related fixed point theorems on metric spaces. We also discuss an example to validate our results.
Ali Amjad +5 more
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