Existence of Fixed Points of a Pair of Self Maps under Weak Generalized Geraghty Contractions in Complete Partially Ordered Partial B-Metric Spaces
We introduce the notion of (α, φ, β) – weak generalized Geraghty contractions in complete partially ordered partial b – metric spaces via triangular α-admissible mappings. We obtain sufficient conditions for the existence of fixed points of such maps in complete partially ordered partial b – metric spaces with coefficient s ≥ 1, where φ is an altering distance function and β ∈ Ω where Ω = {β : (0,∞) → [0, 1) satisfying β(tn) → 1 ⇒ tn → 0}. Examples are provided to illustrate our results.
