Research Article
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
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 | |
| Project Number | NA |
| Publication Date | December 27, 2022 |
| Submission Date | May 12, 2022 |
| Acceptance Date | November 16, 2022 |
| Published in Issue | Year 2022 Volume: 43 Issue: 4 |
