Some Fixed Point Theorems for Hardy-Rogers Type Mappings

B. E. Rhoades; S. Sessa; M. S. Khan; M. D. Khan

doi:10.1155/S0161171284000077

Some Fixed Point Theorems for Hardy-Rogers Type Mappings

B. E. Rhoades, S. Sessa, M. S. Khan, M. D. Khan

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

The first result establishes a fixed point theorem for three maps of a complete metric space. The contractive definition is a generalization of that of Hardy and Rogers, and the commuting condition of Jungck is replaced by the concept of weakly commuting. The other results are extensions of some theorems of Kannan.

Original language	English
Pages (from-to)	75-87
Number of pages	13
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	7
Issue number	1
DOIs	https://doi.org/10.1155/S0161171284000077
Publication status	Published - 1984

Keywords

Asymptotically regular sequences
common fixed points
metric spacej strictly convex Banach space
weakly commuting mappings

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.1155/S0161171284000077

Cite this

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abstract = "The first result establishes a fixed point theorem for three maps of a complete metric space. The contractive definition is a generalization of that of Hardy and Rogers, and the commuting condition of Jungck is replaced by the concept of weakly commuting. The other results are extensions of some theorems of Kannan.",

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KW - common fixed points

KW - metric spacej strictly convex Banach space

KW - weakly commuting mappings

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Some Fixed Point Theorems for Hardy-Rogers Type Mappings

Abstract

Keywords

ASJC Scopus subject areas

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