The Journal of the Indian Mathematical Society

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Non-Expansive Mappings and Meir-Keller Type Conditions


Affiliations
1 Department of Mathematics, Kumaun University, D.S.B. Campus, Nainital-263 002, Uttaranchal, India
     

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We obtain fixed point theorems for generalized non-expansive mappings in metric spaces by employing Meir-Keeler type conditions. Our results open up the unexplored area of fixed points of non-expansive self-mappings of metric spaces for investigation. The method developed by us also provides a new tool to deal with non-expansive mappings in Banach spaces.
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  • Non-Expansive Mappings and Meir-Keller Type Conditions

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Authors

R. P. Pant
Department of Mathematics, Kumaun University, D.S.B. Campus, Nainital-263 002, Uttaranchal, India

Abstract


We obtain fixed point theorems for generalized non-expansive mappings in metric spaces by employing Meir-Keeler type conditions. Our results open up the unexplored area of fixed points of non-expansive self-mappings of metric spaces for investigation. The method developed by us also provides a new tool to deal with non-expansive mappings in Banach spaces.