H. K. Pathak, Department of Mathematics, Kalyan Mahavidyalaya, Bhilai Nagar (M.P.) 490 006, India; S. M. Kang and Y. J. Cho, Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea;
Abstract: In this paper we first prove some coincidence and fixed point theorems for nonlinear hybrid generalized contractions on metric spaces. Secondly, using the concept of an asymptotically regular sequence, we give some fixed point theorems for Kannan type multi-valued mappings on metric spaces. Our main results improve and extend several known results proved by other authors.
Keywords: Weakly commuting, compatible and weakly compatible mappings, asymptotically regular sequence, coincidence point and fixed point, Kannan mapping
Classification (MSC 1991): 54H25, 47H10
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