The main objective of the paper is to prove some unified common fixed point theorems for a family mappings under minimal set sufficient conditions. Our results subsume and improve host contractive type available in literature metric theory. Simultaneously, we provide new answers general framework problem posed by Rhoades (Contemp Math 72, 233-245, 1988) regarding existence definition which stro...

boujari [5] proved a fixed point theorem with an old version of the integraltype contraction , his proof is incorrect. in this paper, a new generalizationof integral type contraction is introduced. moreover, a fixed point theorem isobtained.