Fixed Points of Some Asymptotically Regular Multivalued Mappings Satisfying a Kannan-Type Condition

In this paper, we establish some existence of fixed-point results for some asymptotically regular multivalued mappings satisfying Kannan-type contractive condition without assuming compactness of the underlying metric space or continuity of the mapping.

Bibliographic Details
Main Authors: Pradip Debnath, Zoran D. Mitrović, Hari Mohan Srivastava
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/10/1/24
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author Pradip Debnath
Zoran D. Mitrović
Hari Mohan Srivastava
author_facet Pradip Debnath
Zoran D. Mitrović
Hari Mohan Srivastava
author_sort Pradip Debnath
collection DOAJ
description In this paper, we establish some existence of fixed-point results for some asymptotically regular multivalued mappings satisfying Kannan-type contractive condition without assuming compactness of the underlying metric space or continuity of the mapping.
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spelling doaj.art-9983c54b35e54a518c94f3576f44f2512023-12-11T18:20:17ZengMDPI AGAxioms2075-16802021-02-011012410.3390/axioms10010024Fixed Points of Some Asymptotically Regular Multivalued Mappings Satisfying a Kannan-Type ConditionPradip Debnath0Zoran D. Mitrović1Hari Mohan Srivastava2Department of Applied Science and Humanities, Assam University, Silchar Cachar, Assam 788011, IndiaFaculty of Electrical Engineering, University of Banja Luka, Patre 5, 78 000 Banja Luka, Bosnia and HerzegovinaDepartment of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, CanadaIn this paper, we establish some existence of fixed-point results for some asymptotically regular multivalued mappings satisfying Kannan-type contractive condition without assuming compactness of the underlying metric space or continuity of the mapping.https://www.mdpi.com/2075-1680/10/1/24fixed pointmultivalued mapKannan-type contractioncomplete metric spaceboundedly compactorbitally continuous mapping
spellingShingle Pradip Debnath
Zoran D. Mitrović
Hari Mohan Srivastava
Fixed Points of Some Asymptotically Regular Multivalued Mappings Satisfying a Kannan-Type Condition
Axioms
fixed point
multivalued map
Kannan-type contraction
complete metric space
boundedly compact
orbitally continuous mapping
title Fixed Points of Some Asymptotically Regular Multivalued Mappings Satisfying a Kannan-Type Condition
title_full Fixed Points of Some Asymptotically Regular Multivalued Mappings Satisfying a Kannan-Type Condition
title_fullStr Fixed Points of Some Asymptotically Regular Multivalued Mappings Satisfying a Kannan-Type Condition
title_full_unstemmed Fixed Points of Some Asymptotically Regular Multivalued Mappings Satisfying a Kannan-Type Condition
title_short Fixed Points of Some Asymptotically Regular Multivalued Mappings Satisfying a Kannan-Type Condition
title_sort fixed points of some asymptotically regular multivalued mappings satisfying a kannan type condition
topic fixed point
multivalued map
Kannan-type contraction
complete metric space
boundedly compact
orbitally continuous mapping
url https://www.mdpi.com/2075-1680/10/1/24
work_keys_str_mv AT pradipdebnath fixedpointsofsomeasymptoticallyregularmultivaluedmappingssatisfyingakannantypecondition
AT zorandmitrovic fixedpointsofsomeasymptoticallyregularmultivaluedmappingssatisfyingakannantypecondition
AT harimohansrivastava fixedpointsofsomeasymptoticallyregularmultivaluedmappingssatisfyingakannantypecondition