- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 3 Issue: 2
- Ordered weak $\varphi$-contractions in cone metric spaces over Banach algebras and fixed point theor...
Ordered weak $\varphi$-contractions in cone metric spaces over Banach algebras and fixed point theorems
Authors : Satish Shukla, S.K. Malhotra, P.k. BHARGAVA
Pages : 102-110
Doi:10.31197/atnaa.518372
View : 6 | Download : 2
Publication Date : 2019-06-30
Article Type : Research
Abstract :In this work, we introduce the class of ordered weak \varphi-contractions in cone metric spaces over Banach algebras and prove some fixed point results for the mappings belonging to this new class. Our results generalize and extend some known fixed point results in cone metric spaces to the spaces equipped with a partial order. Some examples are given which illustrate the results proved herein.Keywords : Cone metric space, ordered weak $varphi$-contraction, fixed point