Abstract
The aim of the present paper is to introduce the notion of weak reciprocal continuity and obtain fixed point theorems by employing the new notion. The new notion is a proper generalization of reciprocal continuity and is applicable to compatible mappings as well as noncompatible mappings. Our results generalize several fixed point theorems.
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Pant, R.P., Bisht, R.K. & Arora, D. Weak reciprocal continuity and fixed point theorems. Ann Univ Ferrara 57, 181–190 (2011). https://doi.org/10.1007/s11565-011-0119-3
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DOI: https://doi.org/10.1007/s11565-011-0119-3
Keywords
- Fixed point theorems
- Nonexpansive mapping
- Compatible maps
- Noncompatible maps
- R-weakly commuting mappings
- Reciprocal continuity
- R-weakly commuting of type (Af ) and of type (Ag )