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FIXED POINTS OF WEAKLY INWARD 1-SET-CONTRACTION MAPPINGS
Duan, Huagui,Xu, Shaoyuan,Li, Guozhen Korean Mathematical Society 2008 대한수학회지 Vol.45 No.6
In this paper, we introduce a fixed point index of weakly inward 1-set-contraction mappings. With the aid of the new index, we obtain some new fixed point theorems, nonzero fixed point theorems and multiple positive fixed points for this class of mappings. As an application of nonzero fixed point theorems, we discuss an eigenvalue problem.
Fixed points of weakly inward 1-set-contraction mappings
Huagui Duan,Shaoyuan Xu,Guozhen Li 대한수학회 2008 대한수학회지 Vol.45 No.6
In this paper, we introduce a fixed point index of weakly inward 1-set-contraction mappings. With the aid of the new index, we obtain some new fixed point theorems, nonzero fixed point theorems and multiple positive fixed points for this class of mappings. As an application of nonzero fixed point theorems, we discuss an eigenvalue problem. In this paper, we introduce a fixed point index of weakly inward 1-set-contraction mappings. With the aid of the new index, we obtain some new fixed point theorems, nonzero fixed point theorems and multiple positive fixed points for this class of mappings. As an application of nonzero fixed point theorems, we discuss an eigenvalue problem.