# ON CALCULATION OF THE RELATIVE INDEX OF A FIXED POINT IN THE NONDEGENERATE CASE

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Let C be a closed convex subset of a Banach space X and T: C ? C a mapping that satisfies ?Tx - Ty? = a?x - y? + b?Tx - x? + c?Ty - y? for all x, y e C where 0 < a < 1, b = 0, c = 0 and a + b + c = 1. Then T has a unique fixed point. The above theorem, proved by Gregus, is hereby generalized to...

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The aim of this paper is to establish the existence of at least one solution for a general inequality of quasi-hemivariational type, whose solution is sought in a subset K of a real Banach space E. First, we prove the existence of solutions in the case of compact convex subsets and the case of...