On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results

Marwan Amin Kutbi, and Wutiphol Sintunavarat. "On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results." Open Mathematics 14.1 (2016): 167-180. <http://eudml.org/doc/276900>.

@article{MarwanAminKutbi2016,
abstract = {The aim of this paper is to introduce the concept of a new nonlinear multi-valued mapping so called weakly (α, ψ, ξ)-contractive mapping and prove fixed point results for such mappings in metric spaces. Our results unify, generalize and complement various results from the literature. We give some examples which support our main results while previous results in literature are not applicable. Also, we analyze the existence of fixed points for mappings satisfying a general contractive inequality of integral type. Many fixed point results for multi-valued mappings in metric spaces endowed with an arbitrary binary relation and metric spaces endowed with graph are given here to illustrate the results in this paper.},
author = {Marwan Amin Kutbi, Wutiphol Sintunavarat},
journal = {Open Mathematics},
keywords = {α-admissible multi-valued mappings; α*-admissible multi-valued mappings; Weakly (α,ψ,ξ)-contractive multivalued mappings; $\alpha $-admissible multi-valued mappings; $\alpha _\{\ast \}$-admissible multi-valued mappings; weakly $(\alpha ,\psi ,\xi )$-contractive multivalued mappings},
language = {eng},
number = {1},
pages = {167-180},
title = {On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results},
url = {http://eudml.org/doc/276900},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Marwan Amin Kutbi
AU - Wutiphol Sintunavarat
TI - On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 167
EP - 180
AB - The aim of this paper is to introduce the concept of a new nonlinear multi-valued mapping so called weakly (α, ψ, ξ)-contractive mapping and prove fixed point results for such mappings in metric spaces. Our results unify, generalize and complement various results from the literature. We give some examples which support our main results while previous results in literature are not applicable. Also, we analyze the existence of fixed points for mappings satisfying a general contractive inequality of integral type. Many fixed point results for multi-valued mappings in metric spaces endowed with an arbitrary binary relation and metric spaces endowed with graph are given here to illustrate the results in this paper.
LA - eng
KW - α-admissible multi-valued mappings; α*-admissible multi-valued mappings; Weakly (α,ψ,ξ)-contractive multivalued mappings; $\alpha $-admissible multi-valued mappings; $\alpha _{\ast }$-admissible multi-valued mappings; weakly $(\alpha ,\psi ,\xi )$-contractive multivalued mappings
UR - http://eudml.org/doc/276900
ER -