Fixed point and common fixed point theorems on (α,f)-contractive multi-valued mappings in uniform spaces
Filomat, Tome 36 (2022) no. 17, p. 6021

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In this paper, we introduce the notion of (α,F)-contractive multi-valued mappings in the setting of uniform spaces. Some fixed point and common fixed point theorems for (α,F)-contractive mappings endowed with the uniform spaces are established. The existence and uniqueness of fixed points by using the structure of uniform spaces is discussed in detail. We set up a non-trivial example for the elaboration of these novel results. eventually, an application is also provided to elaborate the applicability of our results.
DOI : 10.2298/FIL2217021S
Classification : 54H25, 47H10
Keywords: Multivalued mappings, (α, F)-admissible pairs, (α, F)-contractive mapping, Fixed point theorem, Common fixed point theorem, Uniform space (u. f .s.)
Dur-E-Shehwar Sagheer; Muhammad Anwar; Nawab Hussain; Samina Batul. Fixed point and common fixed point theorems on (α,f)-contractive multi-valued mappings in uniform spaces. Filomat, Tome 36 (2022) no. 17, p. 6021 . doi: 10.2298/FIL2217021S
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     author = {Dur-E-Shehwar Sagheer and Muhammad Anwar and Nawab Hussain and Samina Batul},
     title = {Fixed point and common fixed point theorems on (\ensuremath{\alpha},f)-contractive multi-valued mappings in uniform spaces},
     journal = {Filomat},
     pages = {6021 },
     year = {2022},
     volume = {36},
     number = {17},
     doi = {10.2298/FIL2217021S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2217021S/}
}
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