TY - JOUR
AU - M. Ahmadullah
AU - M. Imdad
AU - H. K. Nashine
PY - 2017/11/25
Y2 - 2023/03/24
TI - Common fixed-point theorems for hybrid generalized
$(F, ϕ)$ -contractions under the common limit range property with applications ......................
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 69
IS - 11
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1801
AB - We consider a relatively new hybrid generalized $F$ -contraction involving a pair of mappings and use this contractionto prove a common fixed-point theorem for a hybrid pair of occasionally coincidentally idempotent mappings satisfyinggeneralized $(F, \varphi)$-contraction condition with the common limit range property in complete metric spaces. A similar resultinvolving a hybrid pair of mappings satisfying the rational-type Hardy – Rogers $(F, \varphi)$-contractive condition is also proved.We generalize and improve several results available from the existing literature. As applications of our results, we provetwo theorems for the existence of solutions of certain system of functional equations encountered in dynamic programmingand the Volterra integral inclusion. Moreover, we provide an illustrative example.
ER -