Coincidence point theorem and common fixed point theorem for nonself single-valued almost contractions

Coincidence point theorem and common fixed point theorem for nonself single-valued almost contractions

© 2019 Societatea de Stiinte Matematice din Romania. All Rights Reserved. Let X be a Banach space, K a nonempty closed subset of X and let T, S: K → X be two nonself almost contractions. In this paper, we prove the existence of coincidence points and common fixed points of almost contractions T and...

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Main Authors: Vasile Berinde, Phikul Sridarat, Suthep Suantai
Format: Journal
Published: 2019
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85063929932&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/65699
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-656992019-08-05T04:39:42Z Coincidence point theorem and common fixed point theorem for nonself single-valued almost contractions Vasile Berinde Phikul Sridarat Suthep Suantai Mathematics © 2019 Societatea de Stiinte Matematice din Romania. All Rights Reserved. Let X be a Banach space, K a nonempty closed subset of X and let T, S: K → X be two nonself almost contractions. In this paper, we prove the existence of coincidence points and common fixed points of almost contractions T and S. The main result shows that if S(K) is closed, the pair (T, S) has property (M') and T and S satisfy some suitable conditions, then T and S have a unique common fixed point in K. This theorem generalizes several fixed point theorems for nonself mappings and also extend many great results in the fixed point theory of self mappings to the case on nonself mappings. Also, we give an example to support the validity of our results. 2019-08-05T04:39:42Z 2019-08-05T04:39:42Z 2019-01-01 Journal 12203874 2-s2.0-85063929932 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85063929932&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65699
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Vasile Berinde
Phikul Sridarat
Suthep Suantai
Coincidence point theorem and common fixed point theorem for nonself single-valued almost contractions
description © 2019 Societatea de Stiinte Matematice din Romania. All Rights Reserved. Let X be a Banach space, K a nonempty closed subset of X and let T, S: K → X be two nonself almost contractions. In this paper, we prove the existence of coincidence points and common fixed points of almost contractions T and S. The main result shows that if S(K) is closed, the pair (T, S) has property (M') and T and S satisfy some suitable conditions, then T and S have a unique common fixed point in K. This theorem generalizes several fixed point theorems for nonself mappings and also extend many great results in the fixed point theory of self mappings to the case on nonself mappings. Also, we give an example to support the validity of our results.
format Journal
author Vasile Berinde
Phikul Sridarat
Suthep Suantai
author_facet Vasile Berinde
Phikul Sridarat
Suthep Suantai
author_sort Vasile Berinde
title Coincidence point theorem and common fixed point theorem for nonself single-valued almost contractions
title_short Coincidence point theorem and common fixed point theorem for nonself single-valued almost contractions
title_full Coincidence point theorem and common fixed point theorem for nonself single-valued almost contractions
title_fullStr Coincidence point theorem and common fixed point theorem for nonself single-valued almost contractions
title_full_unstemmed Coincidence point theorem and common fixed point theorem for nonself single-valued almost contractions
title_sort coincidence point theorem and common fixed point theorem for nonself single-valued almost contractions
publishDate 2019
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85063929932&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/65699
_version_ 1681426317530103808

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