Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (2): 441-448.

• Articles • Previous Articles    

Common Fixed Point Results for Mappings Satisfying Contractive Conditions of Integral Type on W-Spaces

Piao Yongjie   

  1. Department of Mathematics, College of Science, Yanbian University, Jinlin Yanji 133002
  • Received:2013-10-08 Revised:2014-11-06 Online:2015-04-25 Published:2015-04-25

Abstract:

Two real functional sets Φ and Ψ are introduced, mappings satisfying two deferent contractive conditions of integral type on W-spaces are considered, and then that mappings have a unique common fixed point, if they satisfy converse commuting property or have a commuting point, is proved. At the same time, some particular forms are given. The obtained results here generalize and improve many generalizations of Banach contraction principle.

Key words: W-space, Converse commuting mappings, Commuting point, Set Φ, Set Ψ, Set γ

CLC Number: 

  • O177.91
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