Common fixed point of mappings satisfying implicit contractive conditions in TVS-valued ordered cone metric spaces

Volume 6, Issue 3, pp 205--215 http://dx.doi.org/10.22436/jnsa.006.03.06

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Authors

Hemant Kumar Nashine - Department of Mathematics, Disha Institute of Management and Technology, Raipur-492101(Chhattisgarh), India. Mujahid Abbas - Department of Mathematics, Lahore University of Management Sciences, 54792-Lahore, Pakistan.

Abstract

Using the setting of TVS-valued ordered cone metric spaces ( order is induced by a non normal cone), common fixed point results for four mappings satisfying implicit contractive conditions are obtained. These results extend, unify and generalize several well known comparable results in the literature.

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Keywords

• Implicit contraction
• fixed point
• coincidence point
• common fixed point
• weakly compatible mappings
• metric space
• dominating maps
• dominated maps
• ordered metric space

MSC

•  54H25
•  47H10

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