Fixed point results for generalized multivalued orthogonal α-F-contraction of integral type mappings in orthogonal metric spaces

Abstract

In the present article, we introduce a new type of generalized multivalued orthogonal α-Fcontraction of integral type mappings in the context of orthogonal metric spaces and establish some fixed point results. We construct an example to show the existence of the new type of mappings introduce in this work. Our results substantially unify, generalize and complement the comparable results in the existing literature. As an application of our results, we derive periodic point results for the generalized single valued orthogonal α-F-contraction of integral type mappings in orthogonal metric spaces.

Keywords

• orthogonal metric space
• ⊥-preserving
• generalized orthogonal α -f-contraction
• integral type
• fixed point
• periodic point
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