Cyclic Type Fixed Point Results in 2-Menger Spaces

Binayak S. Choudhury; Samir Kumar BHANDARI; Parbati SAHA

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2015)

  • Volume: 54, Issue: 2, page 5-20
  • ISSN: 0231-9721

Abstract

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In this paper we introduce generalized cyclic contractions through r number of subsets of a probabilistic 2-metric space and establish two fixed point results for such contractions. In our first theorem we use the Hadzic type t -norm. In another theorem we use a control function with minimum t -norm. Our results generalizes some existing fixed point theorem in 2-Menger spaces. The results are supported with some examples.

How to cite

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Choudhury, Binayak S., BHANDARI, Samir Kumar, and SAHA, Parbati. "Cyclic Type Fixed Point Results in 2-Menger Spaces." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 54.2 (2015): 5-20. <http://eudml.org/doc/276178>.

@article{Choudhury2015,
abstract = {In this paper we introduce generalized cyclic contractions through $r$ number of subsets of a probabilistic 2-metric space and establish two fixed point results for such contractions. In our first theorem we use the Hadzic type $t$-norm. In another theorem we use a control function with minimum $t$-norm. Our results generalizes some existing fixed point theorem in 2-Menger spaces. The results are supported with some examples.},
author = {Choudhury, Binayak S., BHANDARI, Samir Kumar, SAHA, Parbati},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {2-Menger space; Cauchy sequence; fixed point; control function; $t$-norm},
language = {eng},
number = {2},
pages = {5-20},
publisher = {Palacký University Olomouc},
title = {Cyclic Type Fixed Point Results in 2-Menger Spaces},
url = {http://eudml.org/doc/276178},
volume = {54},
year = {2015},
}

TY - JOUR
AU - Choudhury, Binayak S.
AU - BHANDARI, Samir Kumar
AU - SAHA, Parbati
TI - Cyclic Type Fixed Point Results in 2-Menger Spaces
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2015
PB - Palacký University Olomouc
VL - 54
IS - 2
SP - 5
EP - 20
AB - In this paper we introduce generalized cyclic contractions through $r$ number of subsets of a probabilistic 2-metric space and establish two fixed point results for such contractions. In our first theorem we use the Hadzic type $t$-norm. In another theorem we use a control function with minimum $t$-norm. Our results generalizes some existing fixed point theorem in 2-Menger spaces. The results are supported with some examples.
LA - eng
KW - 2-Menger space; Cauchy sequence; fixed point; control function; $t$-norm
UR - http://eudml.org/doc/276178
ER -

References

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