Fixed point theorems for mappings satisfying contractive conditions of integral type and applications
<p>Abstract</p> <p>In this paper, the existence, uniqueness and iterative approximations of fixed points for contractive mappings of integral type in complete metric spaces are established. As applications, the existence, uniqueness and iterative approximations of solutions for a c...
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doaj-00bcbf12869a42b1b46f72149c115edf2020-11-25T00:23:16ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122011-01-012011164Fixed point theorems for mappings satisfying contractive conditions of integral type and applicationsKang ShinCho SunLiu ZeqingLi Xin<p>Abstract</p> <p>In this paper, the existence, uniqueness and iterative approximations of fixed points for contractive mappings of integral type in complete metric spaces are established. As applications, the existence, uniqueness and iterative approximations of solutions for a class of functional equations arising in dynamic programming are discussed. The results presented in this paper extend and improve essentially the results of Branciari (A fixed point theorem for mappings satisfying a general contractive condition of integral type. Int. J. Math. Math. Sci. <b>29</b>, 531-536, 2002), Kannan (Some results on fixed points. Bull. Calcutta Math. Soc. <b>60</b>, 71-76, 1968) and several known results. Four concrete examples involving the contractive mappings of integral type with uncountably many points are constructed.</p> <p> <b>2010 Mathematics Subject Classfication</b>: 54H25, 47H10, 49L20, 49L99, 90C39</p> http://www.fixedpointtheoryandapplications.com/content/2011/1/64contractive mappings of integral typecomplete metric spacefixed point theoremfunctional equationdynamic programmingbounded solution |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Kang Shin Cho Sun Liu Zeqing Li Xin |
spellingShingle |
Kang Shin Cho Sun Liu Zeqing Li Xin Fixed point theorems for mappings satisfying contractive conditions of integral type and applications Fixed Point Theory and Applications contractive mappings of integral type complete metric space fixed point theorem functional equation dynamic programming bounded solution |
author_facet |
Kang Shin Cho Sun Liu Zeqing Li Xin |
author_sort |
Kang Shin |
title |
Fixed point theorems for mappings satisfying contractive conditions of integral type and applications |
title_short |
Fixed point theorems for mappings satisfying contractive conditions of integral type and applications |
title_full |
Fixed point theorems for mappings satisfying contractive conditions of integral type and applications |
title_fullStr |
Fixed point theorems for mappings satisfying contractive conditions of integral type and applications |
title_full_unstemmed |
Fixed point theorems for mappings satisfying contractive conditions of integral type and applications |
title_sort |
fixed point theorems for mappings satisfying contractive conditions of integral type and applications |
publisher |
SpringerOpen |
series |
Fixed Point Theory and Applications |
issn |
1687-1820 1687-1812 |
publishDate |
2011-01-01 |
description |
<p>Abstract</p> <p>In this paper, the existence, uniqueness and iterative approximations of fixed points for contractive mappings of integral type in complete metric spaces are established. As applications, the existence, uniqueness and iterative approximations of solutions for a class of functional equations arising in dynamic programming are discussed. The results presented in this paper extend and improve essentially the results of Branciari (A fixed point theorem for mappings satisfying a general contractive condition of integral type. Int. J. Math. Math. Sci. <b>29</b>, 531-536, 2002), Kannan (Some results on fixed points. Bull. Calcutta Math. Soc. <b>60</b>, 71-76, 1968) and several known results. Four concrete examples involving the contractive mappings of integral type with uncountably many points are constructed.</p> <p> <b>2010 Mathematics Subject Classfication</b>: 54H25, 47H10, 49L20, 49L99, 90C39</p> |
topic |
contractive mappings of integral type complete metric space fixed point theorem functional equation dynamic programming bounded solution |
url |
http://www.fixedpointtheoryandapplications.com/content/2011/1/64 |
work_keys_str_mv |
AT kangshin fixedpointtheoremsformappingssatisfyingcontractiveconditionsofintegraltypeandapplications AT chosun fixedpointtheoremsformappingssatisfyingcontractiveconditionsofintegraltypeandapplications AT liuzeqing fixedpointtheoremsformappingssatisfyingcontractiveconditionsofintegraltypeandapplications AT lixin fixedpointtheoremsformappingssatisfyingcontractiveconditionsofintegraltypeandapplications |
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1716179907510272000 |