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Almost $\zeta$- contraction on $M$- metric space

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In this paper, we initiate the concept of almost $\zeta $- contractions via Simulation functions to find fixed points on $M$- metric spaces, and prove some related fixed points results for such mappings. Moreover an illustration is provided to show the applicability of our obtained results.

Abstract

In this paper, we initiate the concept of almost $\zeta $- contractions via Simulation functions to find fixed points on $M$- metric spaces, and prove some related fixed points results for such mappings. Moreover an illustration is provided to show the applicability of our obtained results.

참고문헌 (11)

  1. Mehdi Asadi, "New extension of p-metric spaces with some fixed-point results on M-metric spaces", Journal of Inequalities and Applications, 397, pp.150~163 (2014)
  2. Matthews. S, "Partial metric topology", Ann. N. Y. Acad. Sci, 728, pp.183~197 (1994)
  3. Huseyin Isik, "Fixed point Theorems for Almost ξ contractions with an Application", MDPI, 6, pp.37~ (2018)
  4. Pitchaimani M., "Some common fixed point theorems using implicit relation in 2-Banach spaces", Surv. Math. Appl, 10, pp.159~168 (2015)
  5. Pitchaimani M., "Common and coincidence fixed point theo-rems for asymptotically regular mappings in 2-Banach Space", Nonlinear Funct. Anal. Appl, 21(1), pp.131~144 (2016)
  6. Pitchaimani M., "On construction of fixed point theory under implicit relation in Hilbert spaces", Nonlinear Funct. Anal. Appl, 21(3), pp.513~522 (2016)
  7. Pitchaimani M., "On Nadler type results in ultrametric spaces with application to well-posedness", Asian-European Journal of Mathematics, 10(4), pp.1750073~ (2017)[DOI]
  8. Pitchaimani M., "Generalized Nadler type results in ultra-metric spaces with application to well-posedness", Afr. Mat, 28, pp.957~970 (2017)
  9. Rakotch E., "A note on contractive mappings", Proc. Amer. Math. Soc, 13, pp.459~465 (1962)
  10. Ramesh Kumar D., "Set-valued contraction mappings of Prešić-Reich type in ultrametric spaces", Asian-European Journal of Mathematics, 10(4), pp.1750065~ (2017)[DOI]
  11. Ramesh Kumar D., "A generalization of set-valued Prešić-Reich type contractions in ultrametric spaces with applications", J. Fixed Point Theory Appl (2016)[DOI]

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