Common coupled fixed point theorems in cone metric spaces for w-compatible mappings |
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| Authors: | M Abbas |
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| Institution: | a Department of Mathematics, Lahore University of Management Sciences, 54792 Lahore, Pakistan
b Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia |
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| Abstract: | In this paper we introduce the concept of a w-compatible mappings to obtain coupled coincidence point and coupled point of coincidence for nonlinear contractive mappings in cone metric space with a cone having non-empty interior. Coupled common fixed point theorems for such mappings are also proved. Our results generalize, extend and unify several well known comparable results in the literature. Results are supported by three examples. |
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| Keywords: | Coupled common fixed point Coupled coincidence point Coupled point of coincidence Cone metric space Normal and non-normal cone |
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