Dhananjay Gopal, Mohammad Hasan, and Mohammad Imdad S. V. National Institute of Technology, Aligarh Muslim University, Aligarh Muslim University
Abstract : The purpose of this paper is to improve certain results proved in a recent paper of Soliman et al. . These results are the outcome of utilizing the idea of absorbing pairs due to Gopal et al.  as opposed to two conditions namely: weak compatibility and the peculiar condition initiated by Pant  to ascertain the common fixed points of Lipschitzian mappings. Some illustrative examples are also furnished to highlight the realized improvements.