In this work, we establish new coincidence and common fixed point theorems for hybrid strict contraction maps by dropping the assumption ''f is T -weakly commuting'' for a hybrid pair (f , T ) of multivalued maps in Theorem 3.10 of T. Kamran (2004) [8]. As an application, an invariant approximation
Coincidences and Fixed Points of Nonself Hybrid Contractions
β Scribed by S.L. Singh; S.N. Mishra
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 90 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
Ahmad and Imdad and Ahmed and Khan have studied coincidences and fixed points of nonself hybrid contractions on metrically convex spaces. However, most of their main theorems contain errors and admit counterexamples. In this paper, we rectify these results and obtain coincidence and fixed point theorems on a more general setting.
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In this paper, we extend the notion of common property (E.A) to pairs of hybrid mappings defined on an arbitrary set with values in a semi-metric space and use it to prove some coincidence and common fixed point theorems in semi-metric (potent semi-metric) spaces under strict contractions. Our resul