Results 11 to 20 of about 2,370 (264)
On homotopies of morphisms and admissible mappings [PDF]
Journal of Fixed Point Theory and Applications, 2020 AbstractThe notion of homotopy in the category of morphisms introduced by Górniewicz and Granas is proved to be equivalence relation which was not clear for years. Some simple properties are proved and a coincidence point index is described.
Zdzisław Dzedzej, Tomasz Gzella
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Admissible linear map models of linear cameras [PDF]
2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2010 This paper presents a complete analytical characterization of a large class of central and non-central imaging devices dubbed linear cameras by Ponce~\cite{Pon09}. Pajdla~\cite{Pajdla02} has shown that a subset of these, the oblique cameras, can be modelled by a certain type of linear map.
Guillaume Batog +2 more
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On the Admissibility of the Fixed Points Set of a Mapping with Respect to Another Mapping [PDF]
Mathematics, 2021 Let (M,δ) be a metric space, f:M→M, and g:M→[0,+∞). In this paper, we obtain sufficient conditions under which the set of fixed points of f is g-admissible, i.e., Fix(f)≠∅ and Fix(f)⊂g−10. Some special cases of our main results are discussed and some examples are given.
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α-admissible mappings and related fixed point theorems [PDF]
Journal of Inequalities and Applications, 2013 AbstractIn this paper, we prove the existence and uniqueness of a fixed point for certainα-admissible contraction mappings. Our results generalize and extend some well-known results on the topic in the literature. We consider some examples to illustrate the usability of our results.MSC:46N40, 47H10, 54H25, 46T99.
Nawab Hussain +3 more
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Solving integral equations via admissible contraction mappings
Filomat, 2022 In this article, we introduce a new concept of admissible contraction and prove fixed point theorems which generalize Banach contraction principle in a different way more than in the known results from the literature. The article includes an example which shows the validity of our results, and additionally we obtain a solution of integral ...
Nallaselli, Gunasekaran +3 more
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New Fixed Point Theorems for Admissible Hybrid Maps
Journal of Function Spaces, 2022 The aim of this work is to investigate the concept of a new hybrid Suzuki contractive by using the Rus-Reich-Ćirić-type interpolative mappings in b -metric spaces. We seek the presence and uniqueness of a fixed point of such new contraction type mappings and prove ...
Maha Noorwali, Seher Sultan Yeşilkaya
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Existence and Uniqueness of Fixed Points of Generalized F-Contraction Mappings
Journal of Mathematics, 2021 The newest generalization of the Banach contraction through the notions of the generalized F-contraction, simulation function, and admissible function is introduced.
A. P. Farajzadeh, M. Delfani, Y. H. Wang
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Best Proximitiy Point Results for Geraghty Type ?-Proximal Contractions with an Application
Axioms, 2019 In this study, we establish the existence and uniqueness theorems of the best proximity points for Geraghty type ?-proximal contractions defined on a complete metric space.
Hüseyin Işık +3 more
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Mathematics, 2020 In this paper, by using admissible mapping, Wong type contraction mappings are extended and investigated in the framework of quasi-metric spaces to guarantee the existence of fixed points. We consider examples to illustrate the main results.
Erdal Karapınar, Andreea Fulga
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On {$\alpha _{\,\beta }$}-contractive and admissible mappings
Miskolc Mathematical Notes, 2018 Summary: In this paper, we introduce the concept of a pair $(f,h)$ called upper class of type II and $\alpha_{\,\beta}$-contractive mappings. We obtain that all the corresponding established results of \textit{N. Hussain} et al. [J. Inequal. Appl. 2013, Paper No. 114, 11 p. (2013; Zbl 1293.54023)] are immediate consequences of our main result. Our main
Chandok, S. +3 more
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