Fixed point theorems for generalized JS-quasi-contractions in complete partial $b$-metric spaces
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 11, p. 728-739.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we introduce a concept of generalized JS-quasi-contractions and obtain sufficient conditions for the existence of fixed points of such mappings on $p_b$-complete partial $b$-metric spaces. Our results extend the results in the literature. In addition, an example is given to illustrate and support our main result.
DOI : 10.22436/jnsa.012.11.04
Classification : 47H10, 54H25
Keywords: Fixed point theorems, partial \(b\)-metric spaces, generalized JS-quasi-contractions

Lohawech, Panisa  1 ; Kaewcharoen, Anchalee  1

1 Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
@article{JNSA_2019_12_11_a3,
     author = {Lohawech, Panisa  and Kaewcharoen, Anchalee },
     title = {Fixed point theorems for generalized {JS-quasi-contractions} in complete partial \(b\)-metric spaces},
     journal = {Journal of nonlinear sciences and its applications},
     pages = {728-739},
     publisher = {mathdoc},
     volume = {12},
     number = {11},
     year = {2019},
     doi = {10.22436/jnsa.012.11.04},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.11.04/}
}
TY  - JOUR
AU  - Lohawech, Panisa 
AU  - Kaewcharoen, Anchalee 
TI  - Fixed point theorems for generalized JS-quasi-contractions in complete partial \(b\)-metric spaces
JO  - Journal of nonlinear sciences and its applications
PY  - 2019
SP  - 728
EP  - 739
VL  - 12
IS  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.11.04/
DO  - 10.22436/jnsa.012.11.04
LA  - en
ID  - JNSA_2019_12_11_a3
ER  - 
%0 Journal Article
%A Lohawech, Panisa 
%A Kaewcharoen, Anchalee 
%T Fixed point theorems for generalized JS-quasi-contractions in complete partial \(b\)-metric spaces
%J Journal of nonlinear sciences and its applications
%D 2019
%P 728-739
%V 12
%N 11
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.11.04/
%R 10.22436/jnsa.012.11.04
%G en
%F JNSA_2019_12_11_a3
Lohawech, Panisa ; Kaewcharoen, Anchalee . Fixed point theorems for generalized JS-quasi-contractions in complete partial \(b\)-metric spaces. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 11, p. 728-739. doi : 10.22436/jnsa.012.11.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.11.04/

[1] Bakhtin, I. A. The contraction mapping principle in almost metric space, (Russian) Functional analysis, Ul'yanovsk. Gos. Ped. Inst., Volume 30 (1989), pp. 26-37

[2] Banach, S. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math., Volume 3 (1922), pp. 133-181 | Zbl

[3] Czerwik, S. Contraction mappings in $b$--metric spaces, Acta Math. Inform. Univ. Ostraviensis, Volume 1 (1993), pp. 5-11 | Zbl

[4] Hunwisai, D.; Kumam, P. Fuzzy fixed point theorem for multivalued $F$--contraction in $b$--metric spaces, Commun. Math. Appl., Volume 7 (2016), pp. 179-187

[5] Hussain, N.; Parvaneh, V.; Samet, B.; Vetro, C. Some fixed point theorems for generalized contractive mappings in complete metric spaces, Fixed Point Theory Appl., Volume 2015 (2015), pp. 1-17 | DOI | Zbl

[6] Li, Z. L.; Jiang, S. J. Fixed point theorems of JS-quasi-contractions, Fixed Point Theory Appl., Volume 2016 (2016), pp. 1-11 | DOI | Zbl

[7] Matthews, S. G. Partial metric topology, The New York Academy of Sciences. Ann. N. Y. Acad. Sci., Volume 1994 (1994), pp. 183-197 | DOI | Zbl

[8] Mustafa, Z.; Roshan, J. R.; Parvaneh, V.; Kadelburg, Z. Some common fixed point results in ordered partial $b$--metric spaces, J. Inequal. Appl., Volume 2013 (2013), pp. 1-26 | Zbl | DOI

[9] Piri, H.; Kumam, P. Fixed point theorems for generalized $F$-Suzuki-contraction mappings in complete $b$-metric spaces, Fixed Point Theory Appl., Volume 2016 (2016), pp. 1-13 | DOI | Zbl

[10] Roshan, J. R.; Parvaneh, V.; Kadelburg, Z.; Hussain, N. New fixed point results in $b$--rectangular metric spaces, Nonlinear Anal. Model. Control, Volume 21 (2016), pp. 614-634 | Zbl

[11] Shukla, S. Partial $b$-metric spaces and fixed point theorems, Mediterr. J. Math., Volume 11 (2014), pp. 703-711 | DOI | Zbl

[12] Sookprasert, P.; Kumam, P.; Thongtha, D.; Sintunavarat, W. Extension of almost generalized weakly contractive mappings in rectangular $b$-metric spaces and fixed point results, Afr. Mat., Volume 28 (2017), pp. 271-278 | DOI | Zbl

[13] Wardowski, D. Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl., Volume 2012 (2012), pp. 1-6 | Zbl | DOI

Cité par Sources :