Fixed point results on a metric space endowed with a finite number of graphs and applications

Hajer Argoubi; Bessem Samet; Mihai Turinici

Czechoslovak Mathematical Journal (2014)

  • Volume: 64, Issue: 1, page 241-250
  • ISSN: 0011-4642

Abstract

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In this paper, we consider self-mappings defined on a metric space endowed with a finite number of graphs. Under certain conditions imposed on the graphs, we establish a new fixed point theorem for such mappings. The obtained result extends, generalizes and improves many existing contributions in the literature including standard fixed point theorems, fixed point theorems on a metric space endowed with a partial order and fixed point theorems for cyclic mappings.

How to cite

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Argoubi, Hajer, Samet, Bessem, and Turinici, Mihai. "Fixed point results on a metric space endowed with a finite number of graphs and applications." Czechoslovak Mathematical Journal 64.1 (2014): 241-250. <http://eudml.org/doc/262012>.

@article{Argoubi2014,
abstract = {In this paper, we consider self-mappings defined on a metric space endowed with a finite number of graphs. Under certain conditions imposed on the graphs, we establish a new fixed point theorem for such mappings. The obtained result extends, generalizes and improves many existing contributions in the literature including standard fixed point theorems, fixed point theorems on a metric space endowed with a partial order and fixed point theorems for cyclic mappings.},
author = {Argoubi, Hajer, Samet, Bessem, Turinici, Mihai},
journal = {Czechoslovak Mathematical Journal},
keywords = {fixed point; graph; metric space; order; cyclic map; fixed point; graph; metric space; order; cyclic map},
language = {eng},
number = {1},
pages = {241-250},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Fixed point results on a metric space endowed with a finite number of graphs and applications},
url = {http://eudml.org/doc/262012},
volume = {64},
year = {2014},
}

TY - JOUR
AU - Argoubi, Hajer
AU - Samet, Bessem
AU - Turinici, Mihai
TI - Fixed point results on a metric space endowed with a finite number of graphs and applications
JO - Czechoslovak Mathematical Journal
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 64
IS - 1
SP - 241
EP - 250
AB - In this paper, we consider self-mappings defined on a metric space endowed with a finite number of graphs. Under certain conditions imposed on the graphs, we establish a new fixed point theorem for such mappings. The obtained result extends, generalizes and improves many existing contributions in the literature including standard fixed point theorems, fixed point theorems on a metric space endowed with a partial order and fixed point theorems for cyclic mappings.
LA - eng
KW - fixed point; graph; metric space; order; cyclic map; fixed point; graph; metric space; order; cyclic map
UR - http://eudml.org/doc/262012
ER -

References

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