# Common fixed points of Greguš type multi-valued mappings

Archivum Mathematicum (2002)

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

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topRashwan, 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 -

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