Gopal, Dhananjay; Hasan, Mohammad; Imdad, Mohammad Absorbing pairs facilitating common fixed point theorems for Lipschitzian type mappings in symmetric spaces. (English) Zbl 1246.54038 Commun. Korean Math. Soc. 27, No. 2, 385-397 (2012). In this paper, the authors prove unified theorems in symmetric (semi-metric) spaces using the notion of absorbing pairs, which generalize various existing results in the literature. A proposition is given to show that the pointwise S-absorbing as well as the pointwise T-absorbing property is equivalent to the pointwise absorbing property. Some related results are also proved on continuity. Some illustrative examples are also furnished to highlight the realized improvements. Reviewer: Hemant Kumar Nashine (Raipur) Cited in 4 Documents MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 47H10 Fixed-point theorems Keywords:tangential mappings; Lipschitzian mappings; absorbing pairs PDF BibTeX XML Cite \textit{D. Gopal} et al., Commun. Korean Math. Soc. 27, No. 2, 385--397 (2012; Zbl 1246.54038) Full Text: DOI OpenURL