NEW TYPE OF FIXED POINT RESULT OF F-CONTRACTION WITH APPLICATIONS

被引：4

作者：

Hussain, Aftab ^{[1
]}

Arshad, Muhammad ^{[2
]}

Abbas, Mujahid ^{[3
,4
]}

机构：

[1] Khwaja Fareed Univ Engn & Informat Technol, Rahim Yar Khan, Pakistan

[2] Int Islamic Univ, Dept Math & Stat, H-10, Islamabad 44000, Pakistan

[3] Univ Management & Technol, Dept Math, Lahore, Pakistan

[4] Univ Pretoria, Dept Math & Appl Math, Lynnwood Rd, ZA-0002 Pretoria, South Africa

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2017年 / 7卷 / 03期

关键词：

Coincidence point; generalized dynamic process; F-contraction; integral equations; dynamic programming; CIRIC-TYPE; THEOREMS;

D O I：

10.11948/2017069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to prove theorem which generalize the corresponding results of Rhoades [B. E. Rhoades, Two New Fixed Point Theorems, Gen. Math. Notes, 2015, 27(2), 123-132]. This paper is to introduce the notion of dynamic process for generalized F contraction mappings and to obtain coincidence and common fixed point results for such process. It is worth mentioning that our results do not rely on the commonly used range inclusion condition. We provide some examples to support our results. As an application of our results, we obtain the existence and uniqueness of solutions of dynamic programming and integral equations. Our results provide extension as well as substantial generalizations and improvements of several well known results in the existing comparable literature.

引用

页码：1112 / 1126

页数：15

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