On a New Generalization of Banach Contraction Principle with Application [PDF]
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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Some Analogies of the Banach Contraction Principle in Fuzzy Modular Spaces [PDF]
The Scientific World Journal, 2013 We established some theorems under the aim of deriving variants of the Banach contraction principle, using the classes of inner contractions and outer contractions, on the structure of fuzzy modular spaces.
Kittipong Wongkum +2 more
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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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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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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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A Generalization of Banach's Contraction Principle [PDF]
Proceedings of the American Mathematical Society, 1974 Let T : M →
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On the Picard – Lindelöf Argument and the Banach – Caccioppoli Contraction Mapping Principle
Regular and Chaotic DynamicsThe aim of this note is to present the simple observation that a slight refinement of the Contraction Mapping Principle allows one to recover the precise convergence rate in the Picard-Lindelöf Theorem.
Alexander Bufetov
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Generalizations of Banach's contraction principle and Kannan and Chatterjea's theorems for cyclic and non-cyclic mappings [PDF]
Journal of Mahani Mathematical Research, 2023 Two interesting extensions of Banach contraction principle to mappings that don't to be continuous, are Kannan and Chatterjea's theorems. Before this, in the cyclical form, extensions of these two theorems and Banach contraction principle were ...
Akram Safari-Hafshejani
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A Coupled Random Fixed Point Result With Application in Polish Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper, we present a new concept of random contraction and prove a coupled random fixed point theorem under this condition which generalizes stochastic Banach contraction principle.
Rashwan Ahmed Rashwan +1 more
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Some fixed point results in complete generalized metric spaces
Karpatsʹkì Matematičnì Publìkacìï, 2018 The Banach contraction principle is the most important result. This principle has many applications and some authors was interested in this principle in various metric spaces as Brianciari.
S.M. Sangurlu, D. Turkoglu
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