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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Generalization of the Banach contraction principle [PDF]
, 2013 We introduce the concept of shifting distance functions, and we establish a new fixed point theorem which generalizes the Banach contraction principle.
Berzig, Maher
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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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Periodic boundary value problems for nonlinear impulsive fractional differential equation [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper, we investigate the existence and uniqueness of solution of the periodic boundary value problem for nonlinear impulsive fractional differential equation involving Riemann-Liouville fractional derivative by using Banach contraction principle.
Xiaojing Wang, Chuanzhi Bai
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A Generalization of Banach's Contraction Principle [PDF]
Proceedings of the American Mathematical Society, 1974 Let T : M → M T:M \to M be a mapping of a metric space ( M , d ) (M,d) into itself. A mapping T T will be called a quasi-contraction iff d ( T x , T y ) ⩽ q
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Equivalent results to Banach’s contraction principle
Annals of Functional Analysis, 2017 We present two versions of the well-known Banach contraction principle: one in the context of extended metric spaces for which the distance mapping is allowed to be infinite, the other in the context of metric spaces endowed with a compatible binary relation.
Maher Berzig, Mircea-Dan Rus
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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 I 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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