Results 1 to 10 of about 303,324 (182)
Generalized contraction principle [PDF]
Fixed point theorems are proved for contraction maps on M-convex spaces.
Dipak Chatterjee
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A generalization of the Banach Contraction Principle
The authors prove the following nontrivial generalization of the Banach Contraction Principle.
Merryfield, James, Stein, James D. jun.
exaly +3 more sources
On a New Generalization of Banach Contraction Principle with Application
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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Relation-Theoretic Contraction Principle In Metric Spaces Using Multiplicative Contraction
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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Refinements to Relation-Theoretic Contraction Principle
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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Iterates of a modified Bernstein type operator
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
doaj +7 more sources
Iterates of q-Bernstein operators on triangular domain with all curved sides
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
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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A unified theory of cone metric spaces and its applications to the fixed point theory [PDF]
In this paper we develop a unified theory for cone metric spaces over a solid vector space. As an application of the new theory we present full statements of the iterated contraction principle and the Banach contraction principle in cone metric spaces ...
Proinov, Petko D.
core +2 more sources
Completeness and the contraction principle [PDF]
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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