Hybrid coincidence and common fixed point theorems in Menger probabilistic metric spaces under a strict contractive condition with an application

被引：5
|
作者：
Chauhan, Sunny [1 ]
Imdad, Mohammad [2 ]
Vetro, Calogero [3 ]
Sintunavarat, Wutiphol [4 ]
机构：
[1] Near Nehru Training Ctr, Bijnor 246701, Uttar Pradesh, India
[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[3] Univ Palermo, Dipartimento Matemat & Informat, I-90123 Palermo, Italy
[4] Thammasat Univ Rangsit Ctr, Fac Sci & Technol, Dept Math & Stat, Pathum Thani 12121, Thailand
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 239卷
关键词：
Menger space; Tangential property; Volterra type integral equation; Common fixed point; MULTIVALUED MAPPINGS;
D O I：
10.1016/j.amc.2014.04.079
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove some coincidence and common fixed point theorems for two hybrid pairs of mappings in Menger spaces satisfying a strict contractive condition. An illustrative example is given to support the genuineness of our extension besides deriving some related results. Then, we establish the corresponding common fixed point theorems in metric spaces. Finally, we utilize our main result to obtain the existence of a common solution for a system of Volterra type integral equations. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：422 / 433
页数：12
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