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Some fixed point results for multi-valued mappings in metric-like and quasi metric-like spaces

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We establish the existence of fixed point for F-contractive multivalued mappings of Hardy–Rogers type in metric-like spaces. Then, we introduce a new notion called bilateral approximate fixed points for multivalued mappings and establish a common bilateral approximate fixed point result for two [Formula: see text]-dominated multivalued contractive mappings in the sense of [M. Arshad, Z. Kadelburgb, S. Radenovic, A. Shoaibe and S. Shukla, Filomat. 31(11) (2017) 3041–3056] on a closed ball of a K-sequentially complete quasi metric-like space. Finally, one can observe that the common bilateral approximate fixed point results coincide with common fixed point results, whenever we reduce the quasi metric-like spaces to metric-like spaces.
Title: Some fixed point results for multi-valued mappings in metric-like and quasi metric-like spaces
Description:
We establish the existence of fixed point for F-contractive multivalued mappings of Hardy–Rogers type in metric-like spaces.
Then, we introduce a new notion called bilateral approximate fixed points for multivalued mappings and establish a common bilateral approximate fixed point result for two [Formula: see text]-dominated multivalued contractive mappings in the sense of [M.
Arshad, Z.
Kadelburgb, S.
Radenovic, A.
Shoaibe and S.
Shukla, Filomat.
 31(11) (2017) 3041–3056] on a closed ball of a K-sequentially complete quasi metric-like space.
Finally, one can observe that the common bilateral approximate fixed point results coincide with common fixed point results, whenever we reduce the quasi metric-like spaces to metric-like spaces.

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