A Common Fixed Point Theorem for Set-valued Contraction Mappings in Menger Space

B. D. Pant; Sunny Chauhan; Suneel Kumar

Commentationes Mathematicae (2012)

  • Volume: 52, Issue: 1
  • ISSN: 2080-1211

Abstract

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The aim of this paper is to prove a common fixed point theorem for even number of single-valued and two set-valued mappings in complete Menger space using implicit relation. Our result improves and extends the result of Chen and Chang [Common fixed point theorems in Menger spaces, Int. J. Math. Math. Sci. 2006, Art. ID 75931, 15 pp].

How to cite

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B. D. Pant, Sunny Chauhan, and Suneel Kumar. "A Common Fixed Point Theorem for Set-valued Contraction Mappings in Menger Space." Commentationes Mathematicae 52.1 (2012): null. <http://eudml.org/doc/291472>.

@article{B2012,
abstract = {The aim of this paper is to prove a common fixed point theorem for even number of single-valued and two set-valued mappings in complete Menger space using implicit relation. Our result improves and extends the result of Chen and Chang [Common fixed point theorems in Menger spaces, Int. J. Math. Math. Sci. 2006, Art. ID 75931, 15 pp].},
author = {B. D. Pant, Sunny Chauhan, Suneel Kumar},
journal = {Commentationes Mathematicae},
keywords = {t-norm; probabilistic metric space; set-valued mappings; weakly compatible mappings; implicit relation},
language = {eng},
number = {1},
pages = {null},
title = {A Common Fixed Point Theorem for Set-valued Contraction Mappings in Menger Space},
url = {http://eudml.org/doc/291472},
volume = {52},
year = {2012},
}

TY - JOUR
AU - B. D. Pant
AU - Sunny Chauhan
AU - Suneel Kumar
TI - A Common Fixed Point Theorem for Set-valued Contraction Mappings in Menger Space
JO - Commentationes Mathematicae
PY - 2012
VL - 52
IS - 1
SP - null
AB - The aim of this paper is to prove a common fixed point theorem for even number of single-valued and two set-valued mappings in complete Menger space using implicit relation. Our result improves and extends the result of Chen and Chang [Common fixed point theorems in Menger spaces, Int. J. Math. Math. Sci. 2006, Art. ID 75931, 15 pp].
LA - eng
KW - t-norm; probabilistic metric space; set-valued mappings; weakly compatible mappings; implicit relation
UR - http://eudml.org/doc/291472
ER -

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