S.K. Malhotraa, P.K. Bhargavaa, Satish Shuklab
aDepartment of Mathematics, Govt. Science & Commerce College, Benazeer, Bhopal (M.P.), India
bDepartment of Mathematics, Department of Applied Mathematics, Shri Vaishnav Institute of Technology & Science, Gram Baroli, Sanwer Road, Indore (M.P.) 453331, India
In this work, we introduce a class of ordered weak φ-contractions in cone metric spaces over Banach algebras and establish several fixed point results for mappings belonging to this new class. The obtained results generalize and extend existing fixed point theorems in cone metric spaces to settings equipped with a partial order. Illustrative examples are also provided to demonstrate the applicability of the theoretical findings.
Keywords: Cone metric space, ordered weak φ-contraction, fixed point.
Shukla, S., Malhotra, S. K., & Bhargava, P. K. (2019). Ordered weak $\varphi$-contractions in cone metric spaces over Banach algebras and fixed point theorems. Advances in the Theory of Nonlinear Analysis and Its Application, 3(2), 102–110.