## New extension of some fixed point results in complete metric spaces.(English)Zbl 1455.54030

Summary: We provide some new fixed point results which are inspired by the works of T. Suzuki [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 5, 971–978 (2006; Zbl 1101.54047); ibid 71, No. 11, 5313–5317 (2009; Zbl 1179.54071)] and R. Kannan [Bull. Calcutta Math. Soc. 60, 71–76 (1968; Zbl 0209.27104)]. The results are proved using the properties of sequentially convergent mappings and $$A$$-contractions. Existence and uniqueness of fixed points of self maps satisfying certain conditions are investigated in a complete metric space.

### MSC:

 54H25 Fixed-point and coincidence theorems (topological aspects) 54E40 Special maps on metric spaces 54E50 Complete metric spaces

### Citations:

Zbl 1101.54047; Zbl 1179.54071; Zbl 0209.27104
Full Text:

### References:

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