Abstract
AbstractCommon fixed point results for mappings satisfying locally contractive conditions on a closed ball in an ordered complete dislocated metric space have been established. The notion of dominated mappings is applied to approximate the unique solution of nonlinear functional equations. Our results improve several well-known conventional results.MSC:46S40, 47H10, 54H25.
Highlights
Introduction and preliminaries Let TX −→ X be a mapping
Fixed points results of mappings satisfying a certain contractive condition on the entire domain have been at the center of rigorous research activity and they have a wide range of applications in different areas such as nonlinear and adaptive control systems, parameter estimation problems, computing magnetostatic fields in a nonlinear medium and convergence of recurrent networks
Azam et al [ ] proved a significant result concerning the existence of fixed points of a mapping satisfying contractive conditions on a closed ball of a complete metric space
Summary
Introduction and preliminaries Let TX −→ X be a mapping. A point x ∈ X is called a fixed point of T if x = Tx. Azam et al [ ] proved a significant result concerning the existence of fixed points of a mapping satisfying contractive conditions on a closed ball of a complete metric space.
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