Abstract
The purpose of this paper is to establish fixed point results for a pair α ∗ -dominated multivalued mappings fulfilling generalized locally new α ∗ - ψ -Ćirić type rational contractive conditions on a closed ball in complete dislocated metric spaces. Examples and applications are given to demonstrate the novelty of our results. Our results extend several comparable results in the existing literature.
Highlights
Introduction and PreliminariesLet H : S −→ S be a mapping
Alofi et al [17] introduced the concept of α-dominated multivalued mappings and established some fixed point results for such mappings on a closed ball in complete dislocated quasi b-metric spaces
Some new fixed point results with graphic contractions on closed ball for multi graph dominated mappings on dislocated metric space are established
Summary
Rasham et al [2], proved fixed point results for a pair of multivalued mappings on closed ball for new rational type contraction in dislocated metric spaces. Senapati and Dey [16], introduced the concept of a pair of multi β ∗ -admissible mapping and established some common fixed point theorems for multivalued β ∗ -ψ-contractive mappings. Alofi et al [17] introduced the concept of α-dominated multivalued mappings and established some fixed point results for such mappings on a closed ball in complete dislocated quasi b-metric spaces. Some new fixed point results with graphic contractions on closed ball for multi graph dominated mappings on dislocated metric space are established. It is clear that S and T are α? -dominated but not α? -admissible
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