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    STUDIA MATHEMATICA - Issue no. 1 / 2022  
         
  Article:   SOME APPLICATIONS OF MAIA''S FIXED POINT THEOREM FOR FREDHOLM INTEGRAL EQUATION SYSTEMS.

Authors:  ALEXANDRU-DARIUS FILIP.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath. 2022.1.14

Published Online: 2022-03-10
Published Print: 2022-03-31
pp. 189-202

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The aim of this paper is to study the existence and uniqueness of solutions for some Fredholm integral equation systems by applying the vectorial form of Maia''s fixed point theorem. Some abstract Gronwall lemmas and an abstract comparison lemma are also obtained.

Keywords: Space of continuous functions, vector-valued metric, matrix convergent to zero, A-contraction, fixed point, Picard operator, weakly Picard operator, integral equation, Fredholm integral equation system, vectorial Maia''s fixed point theorem, abstract Gronwall lemma, abstract comparison lemma.

Mathematics Subject Classification (2010): 47H10, 47H09, 34K05, 34K12, 45D05, 45G10, 54H25.
 
         
     
         
         
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