NEARNESS,ACCRETIVITY, AND THE SOLVABILITY OF NONLINEAR EQUATIONS

ABSTRACT

In this paper our propose is to find a common term which is included in the assumptions of theorems proving existence of zeros, implicit functions, fixed points or coincidence points. This new point of view allows us to weaken the assumptions which guarantee the solvability of nonlinear equations and to recommend a possible unified treatment of several classes of operators which appear in the theory of nonlinear equations.