Coincidence point and fixed point theorems for a new type of G-contraction multivalued mappings on a metric space endowed with a graph

© 2015, Hanjing and Suantai. In this paper, a new type of G-contraction multivalued mappings in a metric space endowed with a directed graph is introduced and studied. This type of mappings is more general than that of Mizoguchi and Takahashi (J. Math. Anal. Appl. 141:177-188, 1989), Berinde and Ber...

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Main Authors: Adisak Hanjing, Suthep Suantai
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Published: 2018
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spelling th-cmuir.6653943832-439612018-04-25T07:44:10Z Coincidence point and fixed point theorems for a new type of G-contraction multivalued mappings on a metric space endowed with a graph Adisak Hanjing Suthep Suantai Agricultural and Biological Sciences © 2015, Hanjing and Suantai. In this paper, a new type of G-contraction multivalued mappings in a metric space endowed with a directed graph is introduced and studied. This type of mappings is more general than that of Mizoguchi and Takahashi (J. Math. Anal. Appl. 141:177-188, 1989), Berinde and Berinde (J. Math. Anal. Appl. 326:772-782, 2007), Du (Topol. Appl. 159:49-56, 2012), and Sultana and Vetrivel (J. Math. Anal. Appl. 417:336-344, 2014). A fixed point and coincidence point theorem for this type of mappings is established. Some examples illustrating our main results are also given. The main results obtained in this paper extend and generalize those in (Tiammee and Suantai in Fixed Point Theory Appl. 2014:70, 2014) and many well-known results in the literature. 2018-01-24T04:36:31Z 2018-01-24T04:36:31Z 2015-12-26 Journal 16871812 16871820 2-s2.0-84942315567 10.1186/s13663-015-0420-4 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84942315567&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43961
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Agricultural and Biological Sciences
spellingShingle Agricultural and Biological Sciences
Adisak Hanjing
Suthep Suantai
Coincidence point and fixed point theorems for a new type of G-contraction multivalued mappings on a metric space endowed with a graph
description © 2015, Hanjing and Suantai. In this paper, a new type of G-contraction multivalued mappings in a metric space endowed with a directed graph is introduced and studied. This type of mappings is more general than that of Mizoguchi and Takahashi (J. Math. Anal. Appl. 141:177-188, 1989), Berinde and Berinde (J. Math. Anal. Appl. 326:772-782, 2007), Du (Topol. Appl. 159:49-56, 2012), and Sultana and Vetrivel (J. Math. Anal. Appl. 417:336-344, 2014). A fixed point and coincidence point theorem for this type of mappings is established. Some examples illustrating our main results are also given. The main results obtained in this paper extend and generalize those in (Tiammee and Suantai in Fixed Point Theory Appl. 2014:70, 2014) and many well-known results in the literature.
format Journal
author Adisak Hanjing
Suthep Suantai
author_facet Adisak Hanjing
Suthep Suantai
author_sort Adisak Hanjing
title Coincidence point and fixed point theorems for a new type of G-contraction multivalued mappings on a metric space endowed with a graph
title_short Coincidence point and fixed point theorems for a new type of G-contraction multivalued mappings on a metric space endowed with a graph
title_full Coincidence point and fixed point theorems for a new type of G-contraction multivalued mappings on a metric space endowed with a graph
title_fullStr Coincidence point and fixed point theorems for a new type of G-contraction multivalued mappings on a metric space endowed with a graph
title_full_unstemmed Coincidence point and fixed point theorems for a new type of G-contraction multivalued mappings on a metric space endowed with a graph
title_sort coincidence point and fixed point theorems for a new type of g-contraction multivalued mappings on a metric space endowed with a graph
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84942315567&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/43961
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