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2016•International Journal of Engineering MathematicsOpen access

Various Fixed Point Theorems in Complex Valued b -Metric Spaces

Anil Kumar Dubey, Manjula Tripathi, Ravi Prakash Dubey

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Abstract

We prove some common fixed point results for a pair of mappings which satisfy generalized contractive conditions with rational expressions having point-dependent control functions as coefficients in complex valued b -metric spaces. The results of this paper generalize and extend the several known results in complex valued b -metric spaces. Finally, examples are provided to verify the effectiveness and to usability of our main results.

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We prove some common fixed point results for a pair of mappings which satisfy generalized contractive conditions with rational expressions having point-dependent control functions as coefficients in complex valued b -metric spaces. The results of this paper generalize and extend the several known results in complex valued b -metric spaces. Finally, examples are provided to verify the effectiveness and to usability of our main results.

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Available abstract

We prove some common fixed point results for a pair of mappings which satisfy generalized contractive conditions with rational expressions having point-dependent control functions as coefficients in complex valued b -metric spaces. The results of this paper generalize and extend the several known results in complex valued b -metric spaces. Finally, examples are provided to verify the effectiveness and to usability of our main results.

Key concepts: Usability, Algorithm, Metric (unit), Metric space, Computer science, Mathematics, Discrete mathematics, Economics

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