Common fixed points of biased maps of type \((A)\) and applications
Summary: A generalization of compatible maps of type \((A)\) called ``biased maps of type \((A)\)'' is introduced and used to prove fixed point theorems for certain contractions of four maps. Extensions of known results are thereby obtained, i.e., the results of Pathak, Prasad, Jungck et al. are improved. Some problems on convergence of selfmaps and fixed points are also discussed. Further, we use our main results to show the existence of solutions of nonlinear integral equations.
simultaneous Volterra-Hammerstein equation
scientific article; zbMATH DE number 1230042