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Fixed point theory and contractive mappings are popular tools in solving a variety of problems such as control theory, economic theory, nonlinear analysis and global analysis.There are many works on di erent types of contractions to nd a xed point in metric spaces. Improving and extending some kind of those, in this paper, we introduce a new version of H-contradiction for four mappings in a metric space (X,d). Then, we prove the existence and uniqueness of a common best proximity point for four non-self mappings. An example is also given to support our main result. The related xed point theorem are also proved.

COMMON BEST PROXIMITY POINTS THEOREMS FOR H-CONTRACTIVE NON-SELF MAPPINGS