Some Generalizations of Jungck's Fixed Point Theorem

We are going to generalize the Jungck's fixed point theorem for commuting mappings by mean of the concepts of altering distance functions and compatible pair of mappings, as well as, by using contractive inequalities of integral type and contractive inequalities depending on another function.

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Main Authors: J. R. Morales, E. M. Rojas
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/213876
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author J. R. Morales
E. M. Rojas
author_facet J. R. Morales
E. M. Rojas
author_sort J. R. Morales
collection DOAJ
description We are going to generalize the Jungck's fixed point theorem for commuting mappings by mean of the concepts of altering distance functions and compatible pair of mappings, as well as, by using contractive inequalities of integral type and contractive inequalities depending on another function.
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institution Kabale University
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1687-0425
language English
publishDate 2012-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-031c9de466cc4c2c867cc7471f9966152025-02-03T06:44:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/213876213876Some Generalizations of Jungck's Fixed Point TheoremJ. R. Morales0E. M. Rojas1Departamento de Matemáticas, Universidad de Los Andes, Mérida 5101, VenezuelaDepartamento de Matemáticas, Pontificia Universidad Javeriana, Bogotá, ColombiaWe are going to generalize the Jungck's fixed point theorem for commuting mappings by mean of the concepts of altering distance functions and compatible pair of mappings, as well as, by using contractive inequalities of integral type and contractive inequalities depending on another function.http://dx.doi.org/10.1155/2012/213876
spellingShingle J. R. Morales
E. M. Rojas
Some Generalizations of Jungck's Fixed Point Theorem
International Journal of Mathematics and Mathematical Sciences
title Some Generalizations of Jungck's Fixed Point Theorem
title_full Some Generalizations of Jungck's Fixed Point Theorem
title_fullStr Some Generalizations of Jungck's Fixed Point Theorem
title_full_unstemmed Some Generalizations of Jungck's Fixed Point Theorem
title_short Some Generalizations of Jungck's Fixed Point Theorem
title_sort some generalizations of jungck s fixed point theorem
url http://dx.doi.org/10.1155/2012/213876
work_keys_str_mv AT jrmorales somegeneralizationsofjungcksfixedpointtheorem
AT emrojas somegeneralizationsofjungcksfixedpointtheorem