Research article

Common fixed point results for couples $(f,g)$ and $(S,T)$ satisfy strong common limit range property

  • Received: 01 January 2020 Accepted: 26 March 2020 Published: 08 April 2020
  • MSC : 47H10, 54H25

  • In this manuscript, we introduce strong common limit range property for couples $(f, g)$ and $(S, T)$ and by means of this new concept we establish common fixed point results for hybrid pair via $(F, \varphi)$-contraction and rational type contraction conditions. Further, we give some examples to support and illustrate our result. Using the established results existence of solution to the system of integral and differential equations are also discussed. We provide example where the main theorem is applicable but relevant classic result in literature fail to have a common fixed point.

    Citation: Muhammad Shoaib, Muhammad Sarwar, Thabet Abdeljawad. Common fixed point results for couples $(f,g)$ and $(S,T)$ satisfy strong common limit range property[J]. AIMS Mathematics, 2020, 5(4): 3480-3494. doi: 10.3934/math.2020226

    Related Papers:

  • In this manuscript, we introduce strong common limit range property for couples $(f, g)$ and $(S, T)$ and by means of this new concept we establish common fixed point results for hybrid pair via $(F, \varphi)$-contraction and rational type contraction conditions. Further, we give some examples to support and illustrate our result. Using the established results existence of solution to the system of integral and differential equations are also discussed. We provide example where the main theorem is applicable but relevant classic result in literature fail to have a common fixed point.


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