## Common fixed points of two partially commuting tangential selfmaps on a metric space.(English)Zbl 0977.54037

Two selfmaps $$f$$ and $$g$$ of a metric space $$(X,d)$$ are said to be noncompatible if there exists some sequence $$\{x_n\}$$ such that $$\lim_{n\to \infty} f(x_n)= \lim_{n\to \infty} g(x_n)$$ but $$\lim_{n\to \infty} d(f(g(x_n)), g(f(x_n)))$$ is either nonzero or nonexistent. In this paper the authors prove two common fixed point theorems for a pair of selfmaps on a metric space without using the full force of noncompatibility and relaxing the Lipschitz type condition.

### MSC:

 54H25 Fixed-point and coincidence theorems (topological aspects)
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### References:

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