2020
DOI: 10.1186/s13662-020-2491-8
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Abstract: In this paper, we establish that every controlled metric space (X, d α ) induces a Hausdorff controlled metric (H α , CLD(X)) on the class of closed subsets of X which is also complete if (X, d α ) is complete. Furthermore, we define multivalued almost F-contractions on Hausdorff controlled metric spaces and prove some fixed point results. MSC: 46T99; 47H10; 54H25

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Cited by 35 publications
(22 citation statements)
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“…Shukla [10] extended the notion of a partial metric to a partial b-metric. Afterwards, numerous research articles have been dealt with fixed point theorems for various classes of single-valued and multi-valued operators in b-metric and partial b-metric spaces (see, for example, [3,[11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]). In this article, we shall investigate fixed points ofĆirić type rational graphic (Υ, Λ)-contraction pair mappings on partial b-metric spaces endowed with a directed graph G.…”
Section: Introductionmentioning
confidence: 99%
“…Shukla [10] extended the notion of a partial metric to a partial b-metric. Afterwards, numerous research articles have been dealt with fixed point theorems for various classes of single-valued and multi-valued operators in b-metric and partial b-metric spaces (see, for example, [3,[11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]). In this article, we shall investigate fixed points ofĆirić type rational graphic (Υ, Λ)-contraction pair mappings on partial b-metric spaces endowed with a directed graph G.…”
Section: Introductionmentioning
confidence: 99%
“…Klim and Wardowski [11] further discussed F-contractions in the frame of dynamic process and proved fixed point results of F-contractions for multivalued mappings. Along the same line, the class of F-contractions was further extended by various authors, see [12][13][14][15][16][17][18][19][20][21][22][23][24][25]. Also, numerous results on F-contractions have been proved, while imposing the contraction on the closed ball.…”
Section: Introductionmentioning
confidence: 99%
“…Going in same direction, several research works in fixed point theory related to multivalued contractions in different areas have appeared. For more details, see [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23].…”
Section: Introductionmentioning
confidence: 99%