[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).
[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
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.
[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).
[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.
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