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Some new coupled fixed point results in complex value b-metric spaces

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Abstract

The aim of the current article is to establish some coupled fixed-point theorems with different contractive conditions in complete complex valued b-metric space. We are extending the results of Kang et al. (Int J Math Anal 7(46):2269–2277, 2013). To show the significance of our result an example is also presented.

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References

  • Azam A, Fisher B, Khan M (2011) Common fixed point theorems in complex valued metric spaces. Number Funct Anal Opt 32(3):243–253

    Article  MathSciNet  MATH  Google Scholar 

  • Bakhtin IA (1989) The contraction mapping principal in almost metric spaces. Funct Anal 30:26–37

  • Banach S (1922) Sur les operations dans les ensembles abstraits et leur application aux equations integrals. Fundam Math 3:133–181

    Article  MATH  Google Scholar 

  • Barman D, Sarkar K, Tiwary K (2023) Fixed point theorems in complex valued b-metric spaces. Mathematica Moravica 27(1):85–96

    Article  MathSciNet  Google Scholar 

  • Bhaskar TG, Lakshmikantham V (2006) Fixed point theorems in partially ordered cone metric spaces and applications. Nonlinear Anal 65:825–832

    Article  MathSciNet  MATH  Google Scholar 

  • Czerwik S (1998) Nonlinear set-valued contraction mappings in b-metric spaces. Atti Sem Mat Fis Univ Modena 46:263–276

    MathSciNet  MATH  Google Scholar 

  • Czerwik S (1993) Contraction mappings in b-metric spaces. Acta Math Inform Univ Osrav, pp 5–11

  • Dubey AK (2015) Common fixed point results for contractive mappings in complex valued b-metric spaces. Nonlinear Funct Anal Appl 20(2):257–268

    MATH  Google Scholar 

  • Dubey AK, Shukla R, Dubey RP (2015) Some fixed point theorems in complex valued b-metric spaces. J Complex Syst 2015. Article ID 832467

  • Hasanah D (2017) Fixed point theorems in complex-valued b-metric spaces. Jurnal Matematika Murni Dan Aplikasi 4(4):138–145

    Article  Google Scholar 

  • Kang SM, Kumar M, Kumar P, Kumar S (2013) Coupled fixed point theorems in complex valued metric spaces. Int J Math Anal 7(46):2269–2277

    Article  MathSciNet  Google Scholar 

  • Mehmood S, Rehman SU, Jan N, Rakhami MA, Gumaei A (2021) Rational type compatible single-valued mappings via unique common fixed point findings in complex-valued b-metric spaces with an application. J Function Spaces. Article ID 9938959

  • Mohanta SK, Maitra R (2012) Common fixed point of three self mappings in complex valued metric spaces. Int J Math Arch 3(8):2946–2953

    Google Scholar 

  • Mukheimer AA (2014) Some common fixed point theorems in complex valued b-metric spaces. Sci World J 2014, Article ID 587825

  • Rajput N, Singh N (2019) Common fixed point theorems in complex valued b-metric spaces. Int J Sci Res Math Stat Sci 6(2):258–261

    MathSciNet  Google Scholar 

  • Rao KPR, Swamy PR, Prasad JR (2013) A common fixed-point theorem in complex valued b-metric spaces. Bull Math Stat Res 1(1):1–8

    MathSciNet  Google Scholar 

  • Rouzkard F, Imdad M (2012) Some common fixed point theorems on complex valued metric spaces. Comput Math Appl 64:1866–1874

    MathSciNet  MATH  Google Scholar 

  • Samet B, Vetro C (2011) Coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces. Nonlinear Anal Theory Methods Appl 74(12):4260–4268

    Article  MathSciNet  MATH  Google Scholar 

  • Samet B, Karapinar E, Aydi H, Cojbasic V (2013) Discussion on some coupled fixed point theorems. Fixed Point Theory Appl 2013. Article ID 50

  • Sintunavarat W, Kumam P (2012) Generalized common fixed point theorems in complex valued metric spaces and applications. J Inequalities Appl

  • Verma RK, Pathak HK (2013) Common fixed point theorems using property (E.A) in complex valued metric space. Thai J Math 11(2):347–355

  • Yadav G, Sharma RK, Prajapati GL (2020) Common fixed point theorems of compatible maps in complex valued b-metric spaces. J Sci Res 12(4):431–446

    Article  Google Scholar 

Download references

Acknowledgements

The authors thank all reviewers for their useful remarks which made our paper complete and significant.

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Authors and Affiliations

  1. Department of Mathematics, MMEC, Maharishi Markandeshwar (Deemed to Be University), Mullana, Haryana, India

    Vishal Gupta

  2. Department of Mathematics, Government PG College, Ambala Cantt, Haryana, India

    Rajani Saini

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  1. Vishal Gupta
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  2. Rajani Saini
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All authors contributed equally to the writing of this manuscript. All authors read and approved the final version.

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Correspondence to Vishal Gupta.

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Gupta, V., Saini, R. Some new coupled fixed point results in complex value b-metric spaces. Int J Syst Assur Eng Manag 14, 2579–2585 (2023). https://doi.org/10.1007/s13198-023-02114-9

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  • DOI: https://doi.org/10.1007/s13198-023-02114-9

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