Some common fixed point theorems for a pair of tangential mappings in symmetric spaces

DOI10.1016/j.aml.2009.10.009zbMath1213.54066OpenAlexW2060063145MaRDI QIDQ963809

Ahmed H. Soliman, Mohammad Imdad

Publication date: 14 April 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.10.009

zbMATH Keywords

fixed pointcompatible mappingscoincidence pointLipschitz mapping\(R\)-weakly commuting mappingsnon-compatible mappingspartially commuting mappingstangential mappings

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Semimetric spaces (54E25)

Related Items (10)

Fixed point theorems for non-self mappings in symmetric spaces under \(\varphi\)-weak contractive conditions and an application to functional equations in dynamic programming ⋮ Common fixed-point theorems for hybrid generalized \((F, \varphi)\)-contractions under the common limit range property with applications ⋮ On some generalizations of commuting mappings ⋮ Common fixed points for \(\mathcal {JH}\)-operators and occasionally weakly biased pairs under relaxed conditions ⋮ Some nonunique common fixed point theorems in symmetric spaces through \(\text{CLR}_{(S, T)}\) property ⋮ An alternative approach to ``Fixed point theorems for occasionally weakly compatible mappings ⋮ Unified common fixed point theorems for a hybrid pair of mappings via an implicit relation involving altering distance function ⋮ Hybrid fixed point theorems in symmetric spaces via common limit range property ⋮ Remarks on occasionally weakly compatible maps versus occasionally weakly compatible maps ⋮ A note on various classes of compatible-type pairs of mappings and common fixed point theorems

Cites Work

• Some new common fixed point theorems under strict contractive conditions
• Completeness in semimetric spaces
• Common fixed points of noncommuting mappings
• Common fixed points of two partially commuting tangential selfmaps on a metric space
• Common fixed points of Lipschitz type mapping pairs
• A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type
• Cauchy Sequences in Semimetric Spaces
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