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Common fixed points under strict contractive conditions. (English) Zbl 0977.54038
Let $(X,d)$ be a metric space and $f,g:X\to X$ two mappings. The authors present some common fixed point theorems, for $f$ and $g$, under strict contractive conditions by using a minimal commutativity condition.

MSC:
54H25Fixed-point and coincidence theorems in topological spaces
47H10Fixed-point theorems for nonlinear operators on topological linear spaces
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Full Text: DOI
References:
[1] Jachymski, J.: Common fixed point theorems for some families of maps. Indian J. Pure appl. Math. 25, 925-937 (1994) · Zbl 0811.54034
[2] Jungck, G.: Compatible mappings and common fixed points. Internat. J. Math. math. Sci. 9, 771-779 (1986) · Zbl 0613.54029
[3] Jungk, G.; Moon, K. B.; Park, S.; Rhoades, B. E.: On generalizations of the Meir--Keeler type contraction maps: corrections. J. math. Anal. appl. 180, 221-222 (1993) · Zbl 0790.54055
[4] Pant, R. P.: Common fixed points of two pairs of commuting mappings. Indian J. Pure appl. Math. 17, 187-192 (1986) · Zbl 0581.54031
[5] Pant, R. P.: Common fixed points of weakly commuting mappings. Math. student 62, 97-102 (1993) · Zbl 0878.54030
[6] Pant, R. P.: Common fixed points of noncommuting mappings. J. math. Anal. appl. 188, 436-440 (1994) · Zbl 0830.54031
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[8] Pant, R. P.: Common fixed points of contractive maps. J. math. Anal. appl. 226, 251-258 (1998) · Zbl 0916.54027
[9] Pant, R. P.: R-weak commutativity and common fixed points. Soochow J. Math. 25, 37-42 (1999) · Zbl 0918.54038