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DOI QR Code

INNOVATION FIXED POINT THEOREMS IN 0-σ-COMPLETE METRIC-LIKE SPACES WITH APPLICATION IN INTEGRAL EQUATIONS

  • Received : 2021.12.28
  • Accepted : 2022.08.26
  • Published : 2022.08.31

Abstract

In this paper, we introduce the notion of rational g-h-ϕ-weak contractions in tripled metric-like spaces and demonstrate common fixed point results for each mappings in 0-σ complete tripled metric-like spaces and some examples and application are given.

Keywords

References

  1. M. Abbas & D. Doric: Common fixed point theorem for four mappings satisfying generalized weak contractive condition. Filomat 24 (2010), no. 2, 1-10. https://doi.org/10.2298/FIL1002001A
  2. M. Abbas & M. Khan: Common fixed point theorem of two mappings satisfying a generalized weak contractive condition. Int. J. Math. Math. Sci. 2009 (2009), 131068, 9 pp.
  3. M. Abbas & G. Jungck: Common fixed point results for noncommuting mappings without continuity in cone metric spaces. J. Math. Anal. Appl. 341 (2008), 416-420. https://doi.org/10.1016/j.jmaa.2007.09.070
  4. Ya.I. Alber & S. Guerre-Delabriere: Principles of weakly contractive maps in Hilbert spaces, in I. Gohberg, Yu. Lyubich (Eds.). New Results in Operator Theory and Its Applications, Oper. Theory, Adv. Appl. 98, Birkhuser, Basel, (1997), 7-22.
  5. A. Amini-Harandi: Metric-like spaces, partial metric spaces and fixed points. Fixed Point Theory Appl. 2012 (2012), no. 204, 10 pp.
  6. H. Aydi & E. Karapinar: Fixed point results for generalized α-φ-contractions in metric-like spaces and applications. Electron. J. Differ. Equ. 2015 (2015), no. 133, 15 pp.
  7. S.G. Matthews: Partial metric topology. Ann. N. Y. Acad. Sci. 728 (1994), 183-197. https://doi.org/10.1111/j.1749-6632.1994.tb44144.x
  8. B.E. Rhoades: Some theorems on weakly contractive maps. Nonlinear Anal., Theory Methods Appl. 47 (2001), no. 4, 2683-2693. https://doi.org/10.1016/S0362-546X(01)00388-1
  9. S. Romaguera: A Kirk type characterization of completeness for partial metric spaces. Fixed Point Theory Appl. 2010 (2010), 493298, 6 pp.
  10. S. Shukla, S. Radenovic & V. Cojbasic Rajic: Some common fixed point theorems in 0-σ-complete metric-like spaces. Vietnam J. Math. 41 (2013), 341-352. https://doi.org/10.1007/s10013-013-0028-0