Krasnosel'skii Type Hybrid Fixed Point Theorems and Their Applications to Fractional Integral Equations

被引：24

作者：

Srivastava, H. M. ^{[1
]}

Bedre, Sachin V. ^{[2
,3
]}

Khairnar, S. M. ^{[4
]}

Desale, B. S. ^{[5
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[2] Mahatma Gandhi Mahavidyalaya, Dept Math, Ahmedpur 413515, Maharashtra, India

[3] North Maharashtra Univ, Dept Math, Jalgaon 415001, Maharashtra, India

[4] MIT Acad Engn, Dept Engn Sci, Pune 412105, Maharashtra, India

[5] Univ Mumbai, Dept Math, Bombay 400032, Maharashtra, India

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

PARTIALLY ORDERED SETS;

D O I：

10.1155/2014/710746

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some hybrid fixed point theorems of Krasnosel'skii type, which involve product of two operators, are proved in partially ordered normed linear spaces. These hybrid fixed point theorems are then applied to fractional integral equations for proving the existence of solutions under certain monotonicity conditions blending with the existence of the upper or lower solution.

引用

页数：9

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