Research Article
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Year 2022, , 676 - 683, 27.12.2022
https://doi.org/10.17776/csj.1115789

Abstract

Project Number

NA

References

  • [1] Abbas M., Nazir T., Radenovic S., Common fixed points of four maps in partially ordered metric spaces, Applied Mathematics Letters, 24 (2011) 1520-1526.
  • [2] Cho S., Fixed point theorems for generalized weakly contractive mappings in metric spaces with applications, Fixed Point Theory and Applications, (2018) Article number 3(2018).
  • [3] Gahler S., Linear 2 normietre Raume., Math. Nachr., 28(1965) 1-43.
  • [4] Liu B., Chai G.Q., Fixed point theorem for weakly contractive mappings in generalized metric spaces, Hubei Shifan Xueyuan Xuebau, 33(1) (2013) 60-65.
  • [5] Xue Z., Lv G., A fixed point theorem for generalized (ψ,φ)-weak contractions in Branciari-type generalized metric spaces, Fixed Point Theory and Algorithms for Sciences and Engineering, (2021) Article number 1(2021).
  • [6] Kumar D.R., Pitchaimani M., Approximation of common fixed points in 2-Banach spaces with applications, Appl. Gen. Topol., 20(1) (2019) 43-55.
  • [7] Pitchaimani M., Kumar D.R., Some common fixed point theorems using implicit relation in 2-Banach spaces, Surveys in Mathemtics and its Applications, 10 (2015) 159-168.
  • [8] Chouhan P., Malviya N., Fixed point of expansive mappings in 2-Banach Spaces, International Journal of Analysis and Applications, 3(1) (2013) 60-67.

Fixed Point Theorems In 2-Banach Spaces For Non-expansive Type Conditions

Year 2022, , 676 - 683, 27.12.2022
https://doi.org/10.17776/csj.1115789

Abstract

Fixed point theorems had been established and developed under various non-expansive type conditions on different metric spaces. In this paper, we have generalized (ψ,φ) - weak contractions, which is the generalizations of F-contraction, (ϕ,F)-contraction as well as (ψ,φ)-contractions. Then we have established some unique common fixed point results for a sequence of mappings for (ψ,φ)- weak contractions in 2-Banach spaces. Some basic definitions, properties and examples are given in the introduction and preliminaries part. Some corollaries are also given on the basis on the results. 

Supporting Institution

NA

Project Number

NA

References

  • [1] Abbas M., Nazir T., Radenovic S., Common fixed points of four maps in partially ordered metric spaces, Applied Mathematics Letters, 24 (2011) 1520-1526.
  • [2] Cho S., Fixed point theorems for generalized weakly contractive mappings in metric spaces with applications, Fixed Point Theory and Applications, (2018) Article number 3(2018).
  • [3] Gahler S., Linear 2 normietre Raume., Math. Nachr., 28(1965) 1-43.
  • [4] Liu B., Chai G.Q., Fixed point theorem for weakly contractive mappings in generalized metric spaces, Hubei Shifan Xueyuan Xuebau, 33(1) (2013) 60-65.
  • [5] Xue Z., Lv G., A fixed point theorem for generalized (ψ,φ)-weak contractions in Branciari-type generalized metric spaces, Fixed Point Theory and Algorithms for Sciences and Engineering, (2021) Article number 1(2021).
  • [6] Kumar D.R., Pitchaimani M., Approximation of common fixed points in 2-Banach spaces with applications, Appl. Gen. Topol., 20(1) (2019) 43-55.
  • [7] Pitchaimani M., Kumar D.R., Some common fixed point theorems using implicit relation in 2-Banach spaces, Surveys in Mathemtics and its Applications, 10 (2015) 159-168.
  • [8] Chouhan P., Malviya N., Fixed point of expansive mappings in 2-Banach Spaces, International Journal of Analysis and Applications, 3(1) (2013) 60-67.
There are 8 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Natural Sciences
Authors

Mithun Paul 0000-0001-5429-281X

Krishnadhan Sarkar 0000-0001-6890-8427

Kalishankar Tiwary 0000-0002-5773-2021

Project Number NA
Publication Date December 27, 2022
Submission Date May 12, 2022
Acceptance Date November 16, 2022
Published in Issue Year 2022

Cite

APA Paul, M., Sarkar, K., & Tiwary, K. (2022). Fixed Point Theorems In 2-Banach Spaces For Non-expansive Type Conditions. Cumhuriyet Science Journal, 43(4), 676-683. https://doi.org/10.17776/csj.1115789