Generalization of fixed point theorems relating to the diameter of orbits by using a control function
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Abstract
The main purpose of this paper is to obtain fixed points for a selfmap $T$ of a metric space which is $T$-orbitally complete under a more general contraction type condition by using a certain continuous control function. Further generalization relating to the diameter of orbits is given.
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Babu, G. V. R. (2004). Generalization of fixed point theorems relating to the diameter of orbits by using a control function. Tamkang Journal of Mathematics, 35(2), 159–168. https://doi.org/10.5556/j.tkjm.35.2004.217
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