Results 1 to 10 of about 1,320,516 (202)
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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Advances in Difference Equations, 2018 In this paper, the existence and uniqueness of solutions for a class of nonlinear integro-differential equations on unbounded domains in Banach spaces are established under more general conditions by constructing a special Banach space and using cone ...
Peiguo Zhang, Xinan Hao
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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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Nonlinear Analysis, 2023 In a recent paper, Khojasteh et al. presented a new collection of simulation functions, said Z-contraction. This form of contraction generalizes the Banach contraction and makes different types of nonlinear contractions.
Parvaneh Lo'Lo' +2 more
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On interpolative Boyd-Wong and Matkowski type contractions in 2-Banach spaces [PDF]
European Journal of Mathematics and ApplicationsIn this paper, we demonstrate a fixed point theorem for generalized weakly contractive mappings in 2-Banach spaces which is a generalization of a Banach contraction mapping principle.
Jawad Ettayb
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