Contraction principle
A discrete fixed point theorem of Eilenberg as a particular case of the contraction principle
... We show that a discrete fixed point theorem of Eilenberg is equivalent to the restriction of the contraction principle to the class of non-Archimedean bounded metric spaces. We also give a simple extension ...
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Rectangular cone b-metric spaces over Banach algebra and contraction principle
... In this paper we have introduced the concept of a rectangular cone b-metric space over a Banach algebra (in short RCbMS-BA) and proved the Banach contraction principle and weak Kannan contraction ...
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A Review article on some generalizations of Banach’s contraction principle
... A Review article on some generalizations of Banach’s contraction principle Sujata Goyal Assistant professor, Dept... International Research Journal of Engineering and Technology IRJET.[r] ...
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A generalized weak contraction principle with applications to coupled coincidence point problems
... We apply our result to obtain some coupled coincidence point results. Coupled fixed theorems and coupled coincidence point theorems have appeared prominently in recent literature. Although the concept of coupled fixed ...
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The contraction principle for mappings on a modular metric space with a graph
... We give a generalization of the Banach contraction principle on a modular metric space endowed with a graph. The notion of a modular metric on an arbitrary set and the corresponding modular spaces, ...
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The Banach contraction principle in \(C^{*}\)-algebra-valued b-metric spaces with application
... We introduce the notion of a C ∗ -algebra-valued b-metric space. We generalize the Banach contraction principle in this new setting. As an application of our result, we establish an existence result for an ...
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3. Relation-theoretic contraction principle in metric-like spaces
... Abstract. In this paper, we extend the Banach contraction principle to metric-like as well as partial metric spaces (not essentially complete) equipped with an arbitrary binary relation. Thereafter, we ...
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Banach contraction principle for cyclical mappings on partial metric spaces
... Banach contraction mapping principle is considered to be the core of many extended fixed point ...this principle to these spaces (see [–]). How- ever, the contraction type conditions used in ...
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Generalized contraction principle under relatively weaker contraction in partial metric spaces
... The very first contribution to fixed point theory was due to Banach [3] in 1922. He con- ferred the celebrated result in his thesis, namely the Banach contraction principle. Later on, many researchers, ...
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Further generalizations of the Banach contraction principle
... Banach contraction principle, appeared in an explicit form in Banach’s thesis in [], where it was used to establish the exis- tence of a solution to an integral ...This principle states that if ...
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On some extensions of Banach's contraction principle and applications to the convergence and stability of some iterative processes
... Banach Contraction Principle (BCP) is a major tool in functional analysis, nonlinear analysis and differential equations (existence, uniqueness and stability of ...
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A new generalization of the Banach contraction principle
... Banach contraction principle, appeared in explicit form in Banach’s thesis in [], where it was used to establish the exis- tence of a solution to an integral ...This principle states that, if ...
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1. A relation-theoretic $(F,\mathcal{R})$-contraction principle with applications to matrix equations
... Abstract. In this paper, we introduce certain notions namely: (F, R)-contraction, T -orbital transitivity and orbit R-continuity and utilize the same to prove a relation-theoretic contraction ...
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A Weak Contraction Principle in Partially Ordered Cone Metric Space with Three Control Functions
... Weak contraction principle is a generalization of Banach’s contraction principle which was first given by Alber et ...weak contraction principle has been recently extended to ...
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A Generalisation of Contraction Principle in Metric Spaces
... Another generalisation of the contraction principle was suggested by Alber and Guerre-Delabriere 7 in Hilbert Spaces. Rhoades 17 has shown that the result which Alber and Guerre-Delabriere have proved in 7 ...
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Some Extensions of Banach's Contraction Principle in Complete Cone Metric Spaces
... Hamlbarani, “Some notes on the paper “Cone metric spaces and fixed point theorems of contractive mappings”,” Journal of Mathematical Analysis and Applications , vol.[r] ...
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On the convergence of Lupaş \((p,q)\) Bernstein operators via contraction principle
... In 1993, Rus [34] introduced and developed the theory of (weakly) Picard operators, which is one of the most strong tools of fixed point theory with several applications to operator equations and inclusions. Berinde [8] ...
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A generalization of contraction principle
... study of contraction mappings is easier than non-expansive mapping, so this type conversion has some importance in fixed point theory... I am thankful to Dr.[r] ...
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Weak Contraction Principle in b-Metric Spaces
... In this paper, we study weak contraction which is intermediate between a contraction and a non-expansion. It was detained first in Hilbert spaces by Alber et al [1] and then was adopted to metric spaces by ...
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Generalized contraction principle
... Fixed point theorems are proved for contraction maps on M-convex spaces... Fixed Point Theorems, Contraion principle, M-convex spaces..[r] ...
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