Fixed points of JS']JS-contractive mappings with applications
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作者:
Prasad, Gopi
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Dr Shivanand Nautiyal Govt Post Grad Coll, Dept Math, Karanprayag, Uttarakhand, IndiaDr Shivanand Nautiyal Govt Post Grad Coll, Dept Math, Karanprayag, Uttarakhand, India
Prasad, Gopi
[1
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Khantwal, Deepak
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Univ Johannesburg, Dept Math & Appl Math, Johannesburg, South Africa
Graph Era Hill Univ, Dept Math, Dehra Dun, Uttarakhand, IndiaDr Shivanand Nautiyal Govt Post Grad Coll, Dept Math, Karanprayag, Uttarakhand, India
Khantwal, Deepak
[2
,3
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机构:
[1] Dr Shivanand Nautiyal Govt Post Grad Coll, Dept Math, Karanprayag, Uttarakhand, India
[2] Univ Johannesburg, Dept Math & Appl Math, Johannesburg, South Africa
[3] Graph Era Hill Univ, Dept Math, Dehra Dun, Uttarakhand, India
Aim is to present a new type of contractive mappings and establish the existence and uniqueness of fixed points for the same by utilizing the concepts of alpha-admissible mapping and JS-contraction. For the validity of main results we present some non-trivial examples vindicating the advantage over several fixed point results of the existing literature. As applications, some new fixed point theorems are presented in the metric spaces equipped with graphical structure and sufficient conditions are discussed to ensure the existence of a solution for a functional equation arising in dynamic programming.
机构:
King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi ArabiaKing Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
Khan, Abdul Rahim
Abbas, Mujahid
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Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South AfricaKing Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
Abbas, Mujahid
Nazir, Talat
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COMSATS Inst Informat Technol, Dept Math, Abbottabad 22060, PakistanKing Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
Nazir, Talat
Ionescu, Cristiana
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Univ Politehn Bucuresti, Fac Sci Appl, Bucharest 060042, RomaniaKing Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia