# Sturmian Sequences and Invertible Substitutions

## Related Articles

- HENSEL CODES OF SQUARE ROOTS OF P-ADIC NUMBERS. Tahar, Zerzaihi; Mohamed, Kecies; Knapp, Michael // Applicable Analysis & Discrete Mathematics;Apr2010, Vol. 4 Issue 1, p32
In this work we are concerned with the calculation of the Hensel codes of square roots of p-adic numbers, using the fixed point method and this through the calculation of the approached solution of f(x) = x2 - Î± = 0 in Qp: We also determine the speed of convergence and the number of iterations.

- NECESSARY AND SUFFICIENT CONDITION FOR COMMON FIXED POINT THEOREMS. Rhoades, B. E.; Abbas, Mujahid // Journal of Advanced Mathematical Studies;Sep2009, Vol. 2 Issue 2, p97
The aim of this paper is to provide a necessary and sufficient condition for the existence of common fixed points of three non continuous self maps T, f and g in a symmetric space (X,d) under general contractive condition.

- A UNIQUE TRIPLED COMMON FIXED POINT THEOREM FOR FOUR MAPPINGS IN PARTIAL METRIC SPACES. RAO, K. P. R.; KISHORE, G. N. V.; IMDAD, M. // Journal of Advanced Mathematical Studies;2013, Vol. 6 Issue 2, p44
The article explores a unique tripled common fixed point theorem in partial metric spaces for several mappings along with an illustrative example.

- On Kakutani's fixed point theorem, the K-K-M-S theorem and the core of a balanced game. Shapley, Lloyd; Vohra, Rajiv // Economic Theory;1991, Vol. 1 Issue 1, p108
We provide elementary proofs of Scarfs theorem on the non-emptiness of the core and of the K-K-M-S thoerem, based on Kakutani's fixed point theorem. We also show how these proofs can be modified to apply a coincidence theorem of Fan instead of Kakutani's fixed point theorem, for some additional...

- Fixed Point Theorem on Uncomplete G-Metric Spaces. Mustafa, Zead; Shatanawi, Wasfi; Bataineh, Malik // Journal of Mathematics & Statistics;2008, Vol. 4 Issue 4, p196
Problem statement: Over the past two decades the development of fixed point theory in metric spaces has attracted considerable attention due to numerous applications in areas such as variational and linear inequalities, optimization and approximation theory. Therefore, different Authors proved...

- A novel proof of the existence of solutions for a new system of generalized mixed quasi-variational-like inclusions involving ( A, ?, m)-accretive operators. Peng, Jian-Wen // Journal of Global Optimization;Dec2008, Vol. 42 Issue 4, p559
In this paper, we introduce a new system of generalized mixed quasi-variational-like inclusions with ( A, ?, m)-accretive operators and relaxed cocoercive mappings. By using the fixed point theorem of Nadler, we prove the existence of solutions for this general system of generalized mixed...

- Existence results for systems of strong implicit vector variational inequalities. Ya-Ping Fang; Nan-Jing Huang // Acta Mathematica Hungarica;2004, Vol. 103 Issue 4, p265
The purpose of this paper is to introduce and study systems of strong implicit vector variational inequalities. Under suitable conditions, some existence results for systems of strong implicit vector variational inequalities are established by the KakutaniÂFanÂGlicksberg fixed point theorem.

- ANY KIND OF COINCIDENTALLY COMMUTING MAPPINGS IN MENGER SPACE. Sharma, Abhishek; Jain, Arihant; Choudhari, Sanjay // International Journal of Research & Reviews in Applied Sciences;2011, Vol. 8 Issue 3, p307
Here we prove a new fixed point theorem in Menger space. This is in line with research in fixed point theory using any kind of coincidentally commuting mappings and integral functions. Examples have also been constructed.

- Common fixed points theorems for occasionally weakly compatible pairs on cone metric type spaces. Shah, Masood Hussain; Simić, Suzana; Hussain, Nawab; Sretenović, Aleksandra; Radenović, Stojan // Journal of Computational Analysis & Applications;Jan2012, Vol. 14 Issue 1, p290
We prove some common fixed point theorems of mappings on cone metric-type spaces in which the cone does not need to be normal. These theorems generalize the recent results of Jungck et al. and references therein. The examples are given to illustrate the usability of our results.