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Comments on some recent generalization of the Banach contraction principle [PDF]
Journal of Inequalities and Applications, 2016 We study Browder and CJM contractions of integral type. As a result, we give an alternative proof of some recent generalization of the Banach contraction principle by Jleli and Samet.
Tomonari Suzuki
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Refinements to Relation-Theoretic Contraction Principle
Axioms, 2022 After the appearance of relation-theoretic contraction principle proved in a metric space equipped with an amorphous binary relation (often termed as relational metric space), various core fixed point results have been proved in the setting of different ...
Aftab Alam, Reny George, Mohammad Imdad
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Relation-Theoretic Contraction Principle In Metric Spaces Using Multiplicative Contraction [PDF]
Ratio Mathematica, 2023 Alam and Imdad have presented a novel application of the Banach contraction principle on a complete metric spaces with a binary relation. We have extended the concept of binary relation with the multiplicative contraction in a complete metric spaces.
Radha Yadav, Balbir Singh
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An Extension of the Contraction Principle [PDF]
Journal of Theoretical Probability, 2004 The ``contraction principle'' is about large deviations; the basic definitions figure in [\textit{A. Dembo} and \textit{O. Zeitouni}, ``Large deviation techniques and applications''. 2nd ed. (1998; Zbl 0896.60013)]. Its statement is (C). Let \((X_{n})\) satisfy the large deviation principle with good rate function \(I\) (defined on the metric space \({\
Garcia, Jorge
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A generalization of the Banach Contraction Principle
Journal of Mathematical Analysis and Applications, 2002 The authors prove the following nontrivial generalization of the Banach Contraction Principle.
Merryfield, James, Stein, James D. jun.
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On a New Generalization of Banach Contraction Principle with Application
Mathematics, 2019 The main purpose of the current work is to present firstly a new generalization of Caristi’s fixed point result and secondly the Banach contraction principle. An example and an application is given to show the usability of our results.
Hüseyin Işık +3 more
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Iterates of a modified Bernstein type operator
Journal of Numerical Analysis and Approximation Theory, 2019 Using the weakly Picard operators technique and the contraction principle, we study the convergence of the iterates of some modified Bernstein type operators.
Teodora Catinas
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Iterates of q-Bernstein operators on triangular domain with all curved sides
Demonstratio Mathematica, 2022 In this article, Phillips-type Bernstein operators (ℬm,qtF)(t,s)({{\mathcal{ {\mathcal B} }}}_{m,q}^{t}F)\left(t,s) and (ℬn,qsF)(t,s)({{\mathcal{ {\mathcal B} }}}_{n,q}^{s}F)\left(t,s), their products, and Boolean sum based on q-integer have been studied
Iliyas Mohammad +4 more
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THE PRINCIPLE OF FREEDOM OF CONTRACT AND CORPORATE CONTRACT
Bulletin of Institute of Legislation and Legal Information of the Republic of Kazakhstan, 2021 The agreement between the participants (shareholders) of the company as a corporate governance tool is widely used in foreign practice. In Kazakhstan, the corporate agreement is not yet fully used, although it can provide flexible and appropriate regulation between the participants of the company, between the participants and third parties, the company
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Completeness and the contraction principle [PDF]
Proceedings of the American Mathematical Society, 1983 We prove (something more general than) the result that a convex subset of a Banach space is closed if and only if every contraction of the space leaving the convex set invariant has a fixed point in that subset. This implies that a normed space is complete if and only if every contraction on the space has a fixed point.
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