Some fixed point theorems in generating spaces of quasi-metric family

M.H.M. Rashid

Archivum Mathematicum (2017)

  • Volume: 053, Issue: 3, page 161-177
  • ISSN: 0044-8753

Abstract

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The aim of this paper is to introduce the concepts of compatible mappings and compatible mappings of type ( R ) in non-Archimedean Menger probabilistic normed spaces and to study the existence problems of common fixed points for compatible mappings of type ( R ) , also, we give an applications by using the main theorems.

How to cite

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Rashid, M.H.M.. "Some fixed point theorems in generating spaces of quasi-metric family." Archivum Mathematicum 053.3 (2017): 161-177. <http://eudml.org/doc/294117>.

@article{Rashid2017,
abstract = {The aim of this paper is to introduce the concepts of compatible mappings and compatible mappings of type $(R)$ in non-Archimedean Menger probabilistic normed spaces and to study the existence problems of common fixed points for compatible mappings of type $(R)$, also, we give an applications by using the main theorems.},
author = {Rashid, M.H.M.},
journal = {Archivum Mathematicum},
keywords = {fixed point; compatible mappings; non-Archimedean Menger probabilistic normed spaces},
language = {eng},
number = {3},
pages = {161-177},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Some fixed point theorems in generating spaces of quasi-metric family},
url = {http://eudml.org/doc/294117},
volume = {053},
year = {2017},
}

TY - JOUR
AU - Rashid, M.H.M.
TI - Some fixed point theorems in generating spaces of quasi-metric family
JO - Archivum Mathematicum
PY - 2017
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 053
IS - 3
SP - 161
EP - 177
AB - The aim of this paper is to introduce the concepts of compatible mappings and compatible mappings of type $(R)$ in non-Archimedean Menger probabilistic normed spaces and to study the existence problems of common fixed points for compatible mappings of type $(R)$, also, we give an applications by using the main theorems.
LA - eng
KW - fixed point; compatible mappings; non-Archimedean Menger probabilistic normed spaces
UR - http://eudml.org/doc/294117
ER -

References

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  10. Koireng, M.M., Ningombam, L., Rohen, Y., Common fixed points of compatible mappings of type ( R ) , Gen. Math. Notes 10 (1) (2012), 58–62. (2012) 
  11. Menger, K., 10.1073/pnas.28.12.535, Proc. Nat. Acad. Sci. USA 28 (1942), 535–537. (1942) Zbl0063.03886MR0007576DOI10.1073/pnas.28.12.535
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