Results 161 to 170 of about 16,666 (188)
Some of the next articles are maybe not open access.
Local generalizations of Banach’s contraction mapping principle
Journal of Analysis, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Priyam Chakraborty
exaly +2 more sources
Extensions of Banach's Contraction Principle
Numerical Functional Analysis and Optimization, 2010Let A and B be nonempty subsets of a metric space. As a non-self mapping T: A → B does not necessarily have a fixed point, it is of considerable interest to find an element x that is as close to Tx as possible. In other words, if the fixed point equation Tx = x has no exact solution, then it is contemplated to find an approximate solution x such that ...
S Sadiq Basha
exaly +2 more sources
Banach Contraction Principle and Applications
2018Banach contraction principle is a fundamental result in Metric Fixed Point Theory. It is a very popular and powerful tool in solving the existence problems in pure and applied sciences. In this chapter, Banach contraction principle and its converse are presented. Moreover, various applications of this famous principle, including mixed Volterra–Fredholm-
Praveen Agarwal +2 more
exaly +2 more sources
A simple proof of the Banach contraction principle
Journal of Fixed Point Theory and Applications, 2007We give a simple proof of the Banach contraction lemma. Mathematics Subject Classification (2000). Primary 55M20.
exaly +2 more sources
Banach’s Contraction Principle for Nonlinear Contraction Mappings in Modular Metric Spaces
Bulletin of the Malaysian Mathematical Sciences Society, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martínez-Moreno, Juan +2 more
openaire +1 more source
The Banach Contraction Principle
2019In this case, it is readily seen that there exists the smallest value \(\lambda \) for which the inequality holds, called the Lipschitz constant of f.
openaire +1 more source
On the Banach Contraction Principle for Multivalued Mappings
2001We give a survey of recent results concerning the Banach contraction principle for multivalued mappings. Nevertheless, this survey contains also some new so far unpublished results. The following main problems are concerned: (i) existence of fixed points (ii) topological structure of the set of fixed points (iii ...
Jan Andres, Lech Górniewicz
openaire +1 more source
Degree representation of Banach contraction principle in fuzzymetric spaces
Journal of Intelligent & Fuzzy Systems, 2017In this paper, a new approach to Banach contraction principle in fuzzy metric space is provided. The concepts of convergent sequence, Cauchy sequence, complete metric space, contractive map and existence of fixed points, are all defined with some degrees. Adopting these degree concepts, a degree representation of Banach contradiction principle in fuzzy
openaire +1 more source
A note on the L-fuzzy Banach’s contraction principle
Chaos, Solitons & Fractals, 2009Abstract Recently, Alaca et al. [Alaca C, Turkoglu D, Yildiz C. Fixed points in intuitionistic fuzzy metric spaces. Chaos, Solitons & Fractals 2006;29:10738] proved fuzzy Banach fixed point theorem in intuitionistic fuzzy metric spaces and Saadati [Saadati R.
J. Martínez-Moreno +2 more
openaire +1 more source