Geodesic
Some fixed point theorems for weakly $T$-Chatterjea and weakly $T$-Kannan-contractive mappings in complete metric spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2013), pp. 47-55

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In this work we introduce the notions of generalized weakly $T$-Chatterjea-contractive and generalized weakly $T$-Kannan-contractive maps. For these classes of maps we obtain sufficient conditions for the existence of a unique fixed point in a complete metric space.
Keywords: fixed point, complete metric space, weak $C$-contraction, altering distance function. 
@article{IVM_2013_3_a4,
     author = {A. Razani and V. Parvaneh},
     title = {Some fixed point theorems for weakly $T${-Chatterjea} and weakly $T${-Kannan-contractive} mappings in complete metric spaces},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {47--55},
     publisher = {mathdoc},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_3_a4/}
}
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A. Razani; V. Parvaneh. Some fixed point theorems for weakly $T$-Chatterjea and weakly $T$-Kannan-contractive mappings in complete metric spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2013), pp. 47-55. http://geodesic.mathdoc.fr/item/IVM_2013_3_a4/