Some New Extensions of Multivalued Contractions in a b-metric Space and Its Applications
Some New Extensions of Multivalued Contractions in a b-metric Space and Its Applications
The Hβ-HausdorffâPompeiu b-metric for βâ[0,1] is introduced as a new variant of the HausdorffâPompeiu b-metric H. Various types of multi-valued Hβ-contractions are introduced and fixed point theorems are proved for such contractions in a b-metric space. The multi-valued Nadler contraction, Czervik contraction, q-quasi contraction, Hardy Rogers contraction, weak quasi contraction âŚ