Babu, G. V. R.; Sailaja, P. D. A fixed point theorem of generalized weakly contractive maps in orbitally complete metric spaces. (English) Zbl 1259.54017 Thai J. Math. 9, No. 1, 1-10 (2011). Summary: We prove the existence of fixed points of a generalized weakly contractive map in \(T\)-orbitally complete metric spaces. This result generalizes the results of G. V. R. Babu and G. N. Alemayehu [“Point of coincidence and common fixed points of a pair of generalized weakly contractive maps”, J. Adv. Res. Pure Math. 2, No. 2, 89–106 (2010)] and B. E. Rhoades [Nonlinear Anal., Theory Methods Appl. 47, No. 4, 2683–2693 (2001; Zbl 1042.47521)] when the space under consideration is bounded. Cited in 29 Documents MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 54E50 Complete metric spaces Keywords:weakly contractive maps; generalized weakly contractive maps; Fixed point; \(T\)-orbitally complete metric spaces Citations:Zbl 1042.47521 PDF BibTeX XML Cite \textit{G. V. R. Babu} and \textit{P. D. Sailaja}, Thai J. Math. 9, No. 1, 1--10 (2011; Zbl 1259.54017) Full Text: Link OpenURL