|
Document Type |
: |
Thesis |
|
Document Title |
: |
Fixed Point Results of Generalized Contractive Type Maps And Applications نتائج النقطة الثابتة وتطبيقاتها لرواسم نمطية انكماشية معممة |
|
Subject |
: |
Faculty of Science |
|
Document Language |
: |
Arabic |
|
Abstract |
: |
It is well-known that Nadler used a concept of the Hausdorff metric and established multivalued version of the classical Banach Contraction Principle. Later, among others Mizoguchi-Takahashi, Daffer-Kaneko and Du-Hung studied generalization of the Nadler’s fixed point result. Recently, Jleli- Samet introduced a new class of singlevalued contractions and established some fixed point results. Consequently, they generalized some known fixed point results including the Banach contraction principal. While, using the Hausdorff metric, Vetro extended their fixed point results to multivalued mappings and consequently generalized Nadler’s fixed point result. On the other hand, without using the Hausdorff metric, Susuki-Takahashi introduced multivalued (and singlevalued) contractions with respect to w-distance and then proved fixed point results for such mappings, generalizing Banach contraction principal and Nadler's fixed point result. While, Latif improved Mizoguchi-Takahashi’s result in this direction.
In this thesis, without using the Hausdorff metric, we introduce some new classes of generalized multivalued contractive type mappings and then establish a number of metric fixed point results for such mappings. Applying our main results, we obtained some interesting new fixed point results for multivalued mappings. Examples are also presented in support of our main fixed point results. Consequently, we improve and generalize a number of metric fixed point results including the corresponding results due to mentioned authors. |
|
Supervisor |
: |
Prof. Abdul Latif Noor Muhammad |
|
Thesis Type |
: |
Doctorate Thesis |
|
Publishing Year |
: |
1440 AH
2019 AD |
|
Co-Supervisor |
: |
Dr. Buthinah Abdullatif Bin Dehaish |
|
Added Date |
: |
Wednesday, July 24, 2019 |
|
Researchers
| أسماء رشيد الرويلي | Al Rwaily, Asma Rashed | Researcher | Doctorate | |
|