2013Russian MathematicsRequires access

Some fixed point theorems for weakly T-Chatterjea and weakly T-Kannan-contractive mappings in complete metric spaces

A. Razani, Vahid Parvaneh

Open publisher page 15 citations

Abstract

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.

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What this paper is about

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.

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OpenAlex reports 15 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

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.

Key concepts: Mathematics, Metric space, Fixed-point theorem, Fixed point, Complete metric space, Metric (unit), Pure mathematics, Discrete mathematics

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