Common fixed point theorems of integral type contraction on metric spaces and its applications to system of functional equations

Erhan, İnciSarwar, MuhammadZada, Mian BahadurErhan, Inci M.Mathematics2024-07-052024-07-05201591687-181210.1186/s13663-015-0466-32-s2.0-84948424724https://doi.org/10.1186/s13663-015-0466-3https://hdl.handle.net/20.500.14411/771ERHAN, INCI M./0000-0001-6042-3695; Sarwar, Muhammad/0000-0003-3904-8442In this article, using the common (CLR) property, common fixed point results for two pairs of weakly compatible mappings satisfying contractive condition of integral type on metric spaces are established. Furthermore, the existence and uniqueness of common solution for system of functional equations arising in dynamic programming are discussed as an application of a common fixed point theorem presented in this paper.eninfo:eu-repo/semantics/openAccesscontractive mappings of integral typeweakly compatible mappingscommon fixed pointsystem of functional equationsdynamic programmingcommon (E.A) propertycommon (CLR) propertyCommon fixed point theorems of integral type contraction on metric spaces and its applications to system of functional equationsArticleWOS:000368493100002