Some Fixed Point and Coincidence Theorems in L-Spaces

Shouro Kasahara

Institutional Repositories DataBase (IRDB) · 1975 · 11 citations · 0 references

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Abstract

In a previous note [3], it was shown that several known fixed point theorems still hold in L-spaces.In this note, we shall show that some fixed point theorems due to Kannan [l] and Sehgal [4] and a coincidence theorem obtained in [2] also hold in L-spaces.We use the notations and terminology in [3], however we need one more definition and notation.A mapping f of an L-space (X, ) into another