Geodesic
Coupled fixed point theorems via mixed monotone property in $A_b$-metric spaces \ applications to integral equations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 3, pp. 343-355

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we establish some results on the existence and uniqueness of coupled common fixed point theorems in partially ordered $A_b$-metric spaces. Examples have been provided to justify the relevance of the results obtained through the analysis of extant theorem. Further, we also find application to integral equations via fixed point theorems in $A_b$-metric spaces.
Keywords: сoupled fixed point, mixed weakly monotone property, $A_b$-metric space, integral equation. 
@article{JSFU_2022_15_3_a7,
     author = {K. Ravibabu and G. N. V. Kishore and Ch. Srinivasa Rao and Ch. Raghavendra Naidu},
     title = {Coupled fixed point theorems via mixed monotone property in $A_b$-metric spaces \& applications to integral equations},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {343--355},
     publisher = {mathdoc},
     volume = {15},
     number = {3},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2022_15_3_a7/}
}
TY  - JOUR
AU  - K. Ravibabu
AU  - G. N. V. Kishore
AU  - Ch. Srinivasa Rao
AU  - Ch. Raghavendra Naidu
TI  - Coupled fixed point theorems via mixed monotone property in $A_b$-metric spaces \& applications to integral equations
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2022
SP  - 343
EP  - 355
VL  - 15
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2022_15_3_a7/
LA  - en
ID  - JSFU_2022_15_3_a7
ER  - 
%0 Journal Article
%A K. Ravibabu
%A G. N. V. Kishore
%A Ch. Srinivasa Rao
%A Ch. Raghavendra Naidu
%T Coupled fixed point theorems via mixed monotone property in $A_b$-metric spaces \& applications to integral equations
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2022
%P 343-355
%V 15
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2022_15_3_a7/
%G en
%F JSFU_2022_15_3_a7
K. Ravibabu; G. N. V. Kishore; Ch. Srinivasa Rao; Ch. Raghavendra Naidu. Coupled fixed point theorems via mixed monotone property in $A_b$-metric spaces \& applications to integral equations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 3, pp. 343-355. http://geodesic.mathdoc.fr/item/JSFU_2022_15_3_a7/