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

Cumhuriyet Science Journal

article

Mithun PAUL¹  Krishnadhan SARKAR²  Kalishankar TİWARY¹ 

[1] Raiganj University;Raniganj Girls" College

关键词: 2-Banach spaces;    Coincidence points;    Non-decreasing function;    Cauchy sequence;    Fixed point.;   

DOI  :  10.17776/csj.1115789

学科分类：工程和技术（综合）

来源: Cumhuriyet University

【 摘 要 】

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.

【 授权许可】

CC BY-NC-ND