Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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COMMON FIXED POINT THEOREMS FOR GENERALIZED 𝜓∫𝜑-WEAKLY CONTRACTIVE MAPPINGS IN G-METRIC SPACES

  • Kim, Jong Kyu (Department of Mathematics Education, Kyungnam University) ;
  • Kumar, Manoj (Department of Mathematics, Faculty of Sciences Baba Mastnath University) ;
  • Bhardwaj, Preeti (Department of Mathematics, Faculty of Sciences Baba Mastnath University) ;
  • Imdad, Mohammad (Department of Mathematics, Aligarh Muslim University)
  • Received : 2020.12.14
  • Accepted : 2021.03.19
  • Published : 2021.09.15
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Abstract

In this paper, first of all we prove a fixed point theorem for 𝜓∫𝜑-weakly contractive mapping. Next, we prove some common fixed point theorems for a pair of weakly compatible self maps along with E.A. property and (CLR) property. An example is also given to support our results.

Keywords

Acknowledgement

This work was supported by the Basic Science Research Program through the National Research Foundation(NRF) Grant funded by Ministry of Education of the republic of Korea (2018R1D1A1B07045427).

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