A coincidence and common fixed point theorem for subsequentially continuous hybrid pairs of maps satisfying an implicit relation
Mathematica Moravica, Tome 21 (2017) no. 2.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper, we introduce the notion of subsequential continuity for a hybrid pair of maps and combine this concept with
compatibility, to establish a coincidence and common fixed point theorem for a hybrid quadruple of maps. Our main result also demonstrates that several fixed point theorems can be unified using implicit relations. We also give two examples in support our results.
Mots-clés :
Common fixed point, subsequentially continuous, compatible mappings, implicit relation
@article{MM3_2017_21_2_a1, author = {Said Beloul and Anita Tomar}, title = {A coincidence and common fixed point theorem for subsequentially continuous hybrid pairs of maps satisfying an implicit relation}, journal = {Mathematica Moravica}, pages = {15 - 25}, publisher = {mathdoc}, volume = {21}, number = {2}, year = {2017}, url = {https://geodesic-test.mathdoc.fr/item/MM3_2017_21_2_a1/} }
TY - JOUR AU - Said Beloul AU - Anita Tomar TI - A coincidence and common fixed point theorem for subsequentially continuous hybrid pairs of maps satisfying an implicit relation JO - Mathematica Moravica PY - 2017 SP - 15 EP - 25 VL - 21 IS - 2 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/MM3_2017_21_2_a1/ ID - MM3_2017_21_2_a1 ER -
%0 Journal Article %A Said Beloul %A Anita Tomar %T A coincidence and common fixed point theorem for subsequentially continuous hybrid pairs of maps satisfying an implicit relation %J Mathematica Moravica %D 2017 %P 15 - 25 %V 21 %N 2 %I mathdoc %U https://geodesic-test.mathdoc.fr/item/MM3_2017_21_2_a1/ %F MM3_2017_21_2_a1
Said Beloul; Anita Tomar. A coincidence and common fixed point theorem for subsequentially continuous hybrid pairs of maps satisfying an implicit relation. Mathematica Moravica, Tome 21 (2017) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2017_21_2_a1/