MMN-1133
Common fixed point theorems satisfying integral type rational contractive conditions and applications
H. K. Nashine;Abstract
Inspired by the concept of integral type (Branciari type) and fi xed point results on contractive condition on it, in this article we derive some new common fi xed point theorems for quadruple self mappings satisfying a generalized $\mathcal{W}$-contractive condition and generalized $\phi$-contractive condition of integral type and by using the notions of compatibility and subsequentially continuity (alternately subcompatibility and reciprocally continuity) in frame of metric spaces. We furnish some examples
to illustrate the useability of our main results. Several results existing in the literature are obtained
as consequences of the main results. At the end the existence and uniqueness of solutions for certain
system of integral equations and functional equations arising in dynamic programming with the help
of a common fixed point theorem are demonstrated.
Vol. 16 (2015), No. 1, pp. 321-352
DOI: 10.18514/MMN.2015.1133