NONLINEAR INEQUALITIES AND RELATED FIXED POINT PROBLEMS

In this paper, we introduce a nonlinear inequality based on four self-mappings. We give necessary conditions which ensure the existence of a common fixed point of four selfmappings satisfying said inequality defined in S -metric spaces. A common fixed point problem is discussed. We set up an example to elucidate our main result. Moreover, the existence of a common solution to a system of four integral equations is shown by application of main result.