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

Volume 6, Issue 3, pp 205--215
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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.

### Share and Cite

##### ISRP Style

Hemant Kumar Nashine, Mujahid Abbas, Common fixed point of mappings satisfying implicit contractive conditions in TVS-valued ordered cone metric spaces, Journal of Nonlinear Sciences and Applications, 6 (2013), no. 3, 205--215

##### AMA Style

Nashine Hemant Kumar, Abbas Mujahid, Common fixed point of mappings satisfying implicit contractive conditions in TVS-valued ordered cone metric spaces. J. Nonlinear Sci. Appl. (2013); 6(3):205--215

##### Chicago/Turabian Style

Nashine, Hemant Kumar, Abbas, Mujahid. "Common fixed point of mappings satisfying implicit contractive conditions in TVS-valued ordered cone metric spaces." Journal of Nonlinear Sciences and Applications, 6, no. 3 (2013): 205--215

### Keywords

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

•  54H25
•  47H10

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