FIXED POINT RESULTS FOR -CONTRACTIONS IN SOFT METRIC SPACES

In the present paper, we aim to establish a new class of soft mappings called soft -contraction mappings, and also obtain fixed point and common fixed point results in soft metric spaces by using these mappings.

___

  • ⦁ Abbas M., Murtaza G., Romaguera S., (2016) On the fixed point theory of soft metric spaces, Fixed Point Theory and Appl., 1-11.
  • ⦁ Akram M., Zafar A. A., Siddiqui A. A., (2008) A general class of contractions: A-contractions. Novi Sad J. Math. 38(1), 25-33.
  • ⦁ Ali M.I., Feng F., Liu X., Min W. K., Shabir M., (2009) On some new operations in soft set theory, Comput. and Math. Appl. 57, 1547-1553.
  • ⦁ Aygünoğlu A., Aygün H., (2012) Some notes on soft topological spaces, Neural Comput and Appl., 113-119.
  • ⦁ Çağman N., Enginoğlu S., (2010) Soft set theory and uni–int decision making, European Journal of Operational Research 207, 848-855.
  • ⦁ Çagman N., Karatas S., Enginoglu S., (2011) Soft topology, Comput. and Math. Appl. 62, 351-258.
  • ⦁ Çetkin V., Aygün H., (2016) On convergence of soft nets, Journal of Multiple-Valued Logic and Soft Computing 26(3-5), 175-187.
  • ⦁ Çetkin V., Aygün H., (2013) Uniformity structure in the context of soft set, Ann. Fuzzy Math. Inform. 6(1), 69-76.
  • ⦁ Çetkin V., Aygünoğlu A., Aygün H., (2016) CATS of soft topological spaces, Journal of Intelligent and Fuzzy Systems 30, 1903-1913.
  • ⦁ Das S., Samanta S.K., (2012) Soft real set, soft real number and their properties, J. Fuzzy Math. 20, 551-576.
  • ⦁ Das S., Samanta S. K., (2013) Soft metric, Ann. Fuzzy Math. Inform. 6, 77-94.
  • ⦁ Hosseinzadeh H., (2017) Fixed point theorems on soft metric spaces, Journal of Fixed Point Theory and Appl. 19(2), 1625-1647.
  • ⦁ Kharal A., Ahmad B., (2011) Mappings on soft classes, New Mathematics and Natural Computation 7(3), 471-481.
  • ⦁ Maji P. K., Biswas R., Roy A. R., (2003) Soft set theory, Computers Mathematics with Appl. 45, 555-562.
  • ⦁ Molodtsov D., (1999) Soft set theory-first results, Computers Mathematics with Appl. 37, 19-31.
  • ⦁ Pazar Varol B., Aygün H., (2012) On soft Hausdorff spaces, Ann. Fuzzy Math. Inform. 5(1), 15-24.
  • ⦁ Pei D., Miao D., (2005) From soft sets to information systems, Granular Computing, 2005 IEEE International Conference, 617-621.
  • ⦁ Shabir M., Naz M., (2011) On soft topological spaces, Computers and Mathematics with Appl. 61, 1786-1799.
  • ⦁ Wardowski D., (2013) On a soft mapping and its fixed points, Fixed Point Theory and Appl., 182-193.