A fixed point index for generalized inward mappings of condensing type. (English) Zbl 0878.47045
Summary: A fixed point index is defined for mappings defined on a cone \(K\) which do not necessarily take their values in \(K\) but satisfy a weak type of boundary condition called generalized inward. This class strictly includes the well-known weakly inward class. New results for existence of multiple fixed points are established.
MSC:
| 47H11 | Degree theory for nonlinear operators |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 47H10 | Fixed-point theorems |
Keywords:
generalized inward; weakly inward; condensing maps; fixed point index; boundary condition; multiple fixed pointReferences:
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