Abstract
A notion of α-ψ-quasi contractive mappings is introduced. Some new fixed point theorems for α-ψ-quasi contractive mappings are established. An application to integral equations is given.
Highlights
Introduction and preliminariesBanach’s contraction principle [ ] is one of the pivotal results in nonlinear analysis
2 Fixed point theorems Let be the family of all nondecreasing functions ψ : [, ∞) → [, ∞) such that lim ψn(t) =
We show that {xn} is a Cauchy sequence
Summary
Introduction and preliminariesBanach’s contraction principle [ ] is one of the pivotal results in nonlinear analysis.
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