Existence of fixed points for a class of AΦ-contrcations in generalized metric space
ix,90p
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| Format: | Thesis |
| Language: | English |
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Mathematics,Obafemi Awolowo University
2023
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| Online Access: | https://ir.oauife.edu.ng/123456789/5418 |
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| author | Amubieya, Joseph Ayodele |
| author_facet | Amubieya, Joseph Ayodele |
| author_sort | Amubieya, Joseph Ayodele |
| collection | DSpace |
| description | ix,90p |
| format | Thesis |
| id | oai:ir.oauife.edu.ng:123456789-5418 |
| institution | My University |
| language | English |
| publishDate | 2023 |
| publisher | Mathematics,Obafemi Awolowo University |
| record_format | dspace |
| spelling | oai:ir.oauife.edu.ng:123456789-54182023-05-13T18:12:37Z Existence of fixed points for a class of AΦ-contrcations in generalized metric space Amubieya, Joseph Ayodele Mapping Contraception mapping G-metric space AΦ-contractions ix,90p This study introduced a new and larger class of contraction mappings and determined conditions for existence and uniqueness of fixed points for the class of contraction mappings introduced. This is with a view to establishing the conditions for the existence and uniqueness of the fixed points for a class of AΦ−contractions in G−metric space and the method of their approximation. A contractive condition was defined. Some of existing ones in G−metric space was generalized. An iterative sequence was generated by the use of the defined contractions. The required conditions for the sequence to be Cauchy and convergent were obtained, and weak compatibility conditions were used in places where more than one operator were considered to approximate the common fixed points. The AΦ−contractions was found to be more general than Φ−contractions and larger than the A-contractions. Since generalized metric space was wider than the metric space, the corresponding results obtained extended those of the metric space. This study concluded that the existence of fixed points for this class of mappings was possible, if the generalized metric space was symmetric. Fixed points existed and unique for each of the contraction mappings. 2023-05-13T16:57:44Z 2023-05-13T16:57:44Z 2016 Thesis Amubieya,J.A (2016). Existence of fixed points for a class of AΦ-contrcations in generalized metric space. Obafemi Awolowo University https://ir.oauife.edu.ng/123456789/5418 en application/pdf Mathematics,Obafemi Awolowo University |
| spellingShingle | Mapping Contraception mapping G-metric space AΦ-contractions Amubieya, Joseph Ayodele Existence of fixed points for a class of AΦ-contrcations in generalized metric space |
| title | Existence of fixed points for a class of AΦ-contrcations in generalized metric space |
| title_full | Existence of fixed points for a class of AΦ-contrcations in generalized metric space |
| title_fullStr | Existence of fixed points for a class of AΦ-contrcations in generalized metric space |
| title_full_unstemmed | Existence of fixed points for a class of AΦ-contrcations in generalized metric space |
| title_short | Existence of fixed points for a class of AΦ-contrcations in generalized metric space |
| title_sort | existence of fixed points for a class of aφ contrcations in generalized metric space |
| topic | Mapping Contraception mapping G-metric space AΦ-contractions |
| url | https://ir.oauife.edu.ng/123456789/5418 |
| work_keys_str_mv | AT amubieyajosephayodele existenceoffixedpointsforaclassofaphcontrcationsingeneralizedmetricspace |