Fixed point and common fixed point theorems on (α,f)-contractive multi-valued mappings in uniform spaces
Filomat, Tome 36 (2022) no. 17, p. 6021
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper, we introduce the notion of (α,F)-contractive multi-valued mappings in the setting of uniform spaces. Some fixed point and common fixed point theorems for (α,F)-contractive mappings endowed with the uniform spaces are established. The existence and uniqueness of fixed points by using the structure of uniform spaces is discussed in detail. We set up a non-trivial example for the elaboration of these novel results. eventually, an application is also provided to elaborate the applicability of our results.
Classification :
54H25, 47H10
Keywords: Multivalued mappings, (α, F)-admissible pairs, (α, F)-contractive mapping, Fixed point theorem, Common fixed point theorem, Uniform space (u. f .s.)
Keywords: Multivalued mappings, (α, F)-admissible pairs, (α, F)-contractive mapping, Fixed point theorem, Common fixed point theorem, Uniform space (u. f .s.)
Dur-E-Shehwar Sagheer; Muhammad Anwar; Nawab Hussain; Samina Batul. Fixed point and common fixed point theorems on (α,f)-contractive multi-valued mappings in uniform spaces. Filomat, Tome 36 (2022) no. 17, p. 6021 . doi: 10.2298/FIL2217021S
@article{10_2298_FIL2217021S,
author = {Dur-E-Shehwar Sagheer and Muhammad Anwar and Nawab Hussain and Samina Batul},
title = {Fixed point and common fixed point theorems on (\ensuremath{\alpha},f)-contractive multi-valued mappings in uniform spaces},
journal = {Filomat},
pages = {6021 },
year = {2022},
volume = {36},
number = {17},
doi = {10.2298/FIL2217021S},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2217021S/}
}
TY - JOUR AU - Dur-E-Shehwar Sagheer AU - Muhammad Anwar AU - Nawab Hussain AU - Samina Batul TI - Fixed point and common fixed point theorems on (α,f)-contractive multi-valued mappings in uniform spaces JO - Filomat PY - 2022 SP - 6021 VL - 36 IS - 17 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2217021S/ DO - 10.2298/FIL2217021S LA - en ID - 10_2298_FIL2217021S ER -
%0 Journal Article %A Dur-E-Shehwar Sagheer %A Muhammad Anwar %A Nawab Hussain %A Samina Batul %T Fixed point and common fixed point theorems on (α,f)-contractive multi-valued mappings in uniform spaces %J Filomat %D 2022 %P 6021 %V 36 %N 17 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2217021S/ %R 10.2298/FIL2217021S %G en %F 10_2298_FIL2217021S
Cité par Sources :