Common fixed points of Greguš type multi-valued mappings

R. A. Rashwan; Magdy A. Ahmed

Archivum Mathematicum (2002)

  • Volume: 038, Issue: 1, page 37-47
  • ISSN: 0044-8753

Abstract

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This work is considered as a continuation of [19,20,24]. The concepts of δ -compatibility and sub-compatibility of Li-Shan [19, 20] between a set-valued mapping and a single-valued mapping are used to establish some common fixed point theorems of Greguš type under a φ -type contraction on convex metric spaces. Extensions of known results, especially theorems by Fisher and Sessa [11] (Theorem B below) and Jungck [16] are thereby obtained. An example is given to support our extension.

How to cite

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Rashwan, R. A., and Ahmed, Magdy A.. "Common fixed points of Greguš type multi-valued mappings." Archivum Mathematicum 038.1 (2002): 37-47. <http://eudml.org/doc/248950>.

@article{Rashwan2002,
abstract = {This work is considered as a continuation of [19,20,24]. The concepts of $\delta $-compatibility and sub-compatibility of Li-Shan [19, 20] between a set-valued mapping and a single-valued mapping are used to establish some common fixed point theorems of Greguš type under a $\phi $-type contraction on convex metric spaces. Extensions of known results, especially theorems by Fisher and Sessa [11] (Theorem B below) and Jungck [16] are thereby obtained. An example is given to support our extension.},
author = {Rashwan, R. A., Ahmed, Magdy A.},
journal = {Archivum Mathematicum},
keywords = {common fixed points; $\delta $-compatible mappings; sub-compatible mappings; complete convex metric spaces; common fixed points; -compatible mappings; sub-compatible mappings; complete convex metric spaces},
language = {eng},
number = {1},
pages = {37-47},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Common fixed points of Greguš type multi-valued mappings},
url = {http://eudml.org/doc/248950},
volume = {038},
year = {2002},
}

TY - JOUR
AU - Rashwan, R. A.
AU - Ahmed, Magdy A.
TI - Common fixed points of Greguš type multi-valued mappings
JO - Archivum Mathematicum
PY - 2002
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 038
IS - 1
SP - 37
EP - 47
AB - This work is considered as a continuation of [19,20,24]. The concepts of $\delta $-compatibility and sub-compatibility of Li-Shan [19, 20] between a set-valued mapping and a single-valued mapping are used to establish some common fixed point theorems of Greguš type under a $\phi $-type contraction on convex metric spaces. Extensions of known results, especially theorems by Fisher and Sessa [11] (Theorem B below) and Jungck [16] are thereby obtained. An example is given to support our extension.
LA - eng
KW - common fixed points; $\delta $-compatible mappings; sub-compatible mappings; complete convex metric spaces; common fixed points; -compatible mappings; sub-compatible mappings; complete convex metric spaces
UR - http://eudml.org/doc/248950
ER -

References

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