Contraction Type Expansive Map on Complex Valued Metric Space with Fixed Points

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Abstract

According to the present paper, the two self mappings that satisfy contraction type conditions of expansive in complete complex valued metric space reveals that these mappings have some common fixed points. Furthermore, the paper provides generalizations and extensions of well-known results from the existing literature which further expands our understanding of this topic. Some illustrative examples are given to help us obtain results.

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Article Details

How to Cite
Tiwari, S. K., Sonant, B., & Sahani, S. (2023). Contraction Type Expansive Map on Complex Valued Metric Space with Fixed Points. Asian Journal of Science, Technology, Engineering, and Art, 1(2), 200-207. https://doi.org/10.58578/ajstea.v1i2.1924

References

Azam, A., Fisher, B. Khan, M., Common fixed point theorems in complex valued metric Spaces, Numer. Fun. Anal. Opti., Vol. 32, No. 3, 2011, 243-353

https://doi.org/10.1080/01630563.2011.533046.

Ahmad, A. J Klin-Eam, C., Azam, A. (2023). Common fixed point theorems for multi

valued mapping in complex valued metric spaces with applications, Abstract and Applied Analysis, Vol.2013, Article ID 854965, 1-12. https://doi.org/10.1155/2013/854965

Abbas, M. Arshad, M. and. Azam, M. (2013). Fixed points of asymptotically regular mappings in complex valued metric spaces, Georgian Maths. J. 20(2), 213 221. https://doi.org/10.1515/gmj-2013-0013

Banach S. Surles Operation Dans Les Ensembles Abstraits Et Leur Application A Equations Integrals. Fund. Math. 3, 1922. P. 133-181. https://doi.org/10.4064/fm-3-1-133-181.

Daffer P.Z. and Kaneko, H.(1992). On expansive mappings, Math Japon, 37, 1992.

Jungck, G. (1976).Commuting mappings and fixed points. Amer. Math. Monthly, 83, 261- 263. https://doi.org/10.1080/00029890.1976.11994093.

Kutbi, M. A. Azam, A., Ahmad, J. and Bari Di, C. (2013) Some common coupled fixed point results or generalized contractions in complex-valued metric spaces,

J. Appl. Math.2013, Article ID 352927. https://doi.org/10.1155/2013/352927.

Klin-Cam, C. and C. Suanoom, (2013).Some common fixed point theorems for generalized contractive type mapping a complex-valued metric space, Abstr.

Appl. Anal. 2013, Article ID 604215. DOI:10.1155/2013/604215

Machuca, R.(1967). A coincidence theorem. Amer. Month. Monthly, 74, 1967.

Rauzkard, F. and Imdad, M., Some Common fixed point theorem on complex valued

Metric spaces, Compt. Math. Appl. 64(6), 2012, 1866-1874. doi:10.1016/j.camwa.2012.02.063

Sintunavarat, W. and Kumam, P. (2012). Generalized common fixed point theorems in Complex valued metrics spaces an applications, J. Ine. App. 2012 (84). doi:10.1186/1029-242X-2012-84.

Sintunavarat, W., Cho, Y. J and Kumam, P. (2013) Urysohn, Integral equations approach by common fixed points in complex-valued metric spaces, Adv. Differ. Equ. 2013 (49),1- 14.

Sitthikul, K. and Saejung, S.(2012). Some fixed point theorems in complex-valued metric spaces, Fixed Point Theory Appl. 2012, 189.

Senthil T. Kumar and Jahirhuss, R. (2014). Fixed point and Common fixed Theorems generalized contractive type mapping in complex-valued metric spaces, J. Math. Comp. Sci. 4 (2014), 639-648. doi:10.1186/1687-1812-2012-189.

Sonant, B. and Tiwari, S.K., (2021).Unique common fixed point results for rational contraction in complex valued metric space,Int. J. of math. and Comp. Research., Volume-09 (11), 2493-2505. DOI: 10.47191/ijmcr/v9i11.04.

Tiwari, S. K. and Sonant, B., (2022), complex valued metric spaces for Das and Gupta contraction and fixed point and common fixed point theorems, JP Journal of Fixed Point Theory and Applications, Volume 17, 2022, Pages 11-38. .http://www.pphmj.com, http://dx.doi.org/10.17654/0973422822002.

Tiwari, S.K., and Sahu,T.(2014). Expansive mapping theorems in cone metric spaces, Int. Journal of Innovative Science, Engi.and Technology, 1(6), 260-267. ww.ijiset.com

Tiwari,S. K. and Dharmendra Das.(2017). Some Common Fixed Point Theorems for Expanding Mapping in Complete Cone Metric Space”, International Journal of Mathematics Trends and Technology (IJMTT), 41(3), 269-271.http//www.ijmttjournal.org , doi: 10.14445/22315373/IJMTT-V41P524.