TY - JOUR
AU - K. R. Tijani
AU - O. T. Wahab
AU - I. F. Usamot
AU - S. M. Alata
PY - 2022/06/30
Y2 - 2022/12/06
TI - Common Coupled Fixed Point Theorems without Compatibility in Partially Ordered Metric Spaces
JF - International Journal of Mathematical Sciences and Optimization: Theory and Applications
JA - IJMSO
VL - 8
IS - 1
SE - Articles
DO - 10.6084/m9.figshare.20716042
UR - http://ijmso.unilag.edu.ng/article/view/1573
AB - A perfect blend of requirements for the proof of common coupled fixed point theorems in partially ordered metric space without the assumptions of (weak) compatibility is accomplished. Previous attempts in this direction involving these assumptions mostly ensure existence of coupled coincidence points. In many existing works in this area, attempt have been made to prove the existence of common coupled fixed points. However, only identity mappings can satisfy the conditions of the theorems. The method of proof presented in this present work is powerful in view of the fact that it guarantees the existence of common coupled fixed points without the imposition of (weak) compatibility conditions and identity mappings. To illustrate the results, an example is provided.
ER -