A COMMON FIXED POINT THEOREM FOR WEAKLY RECIPROCALLY CONTINUOUS SYSTEMS OF MAPS SATISFYING A GENERAL CONTRACTIVE CONDITION OF INTEGRAL TYPE Deepak Khantwal* and U.C. Gairola *Department of Mathematics, Graphic Era Hill University, Dehradun-248002, Uttarakhand, India Department of Mathematics, H.N.B. Garhwal University, BGR Campus, Pauri Garhwal-246001, Uttarakhand, India Email:deepakkhantwal15@gmail.com*, ucgairola@rediffmail.com (Received : May 15, 2019 ; Revised: May 24, 2019) Abstract In this paper we prove a common .fixed point theorem for weakly reciprocally continuous systems of maps satisfying a general contractive inequality of integral type on the finite product of metric spaces. Our result generalizes the results of Branciari [2], Rhoades [25], Matkowski [17] and Gairola [5]. 2010 Mathematics Subject Classifications: 47H10, 54H25. Keywords and phrases: Fixed point, coordinatewise commuting maps, weakly commuting maps, asymptotically commuting maps, weak reciprocal continuous maps and product space. |
Jñānābha > Volume 49 (No1-2019) >