METRIC FIXED POINT RESULTS FOR GENERALIZED CONTRACTIVE MAPPINGS AND APPLICATIONS

被引：0

作者：

Latif, Abdul ^{[1
]}

Bin Dehaish, Buthinah A. ^{[2
]}

Al Rwaily, Asma ^{[3
]}

机构：

[1] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[2] Univ Jeddah, Dept Math, Fac Sci, Jeddah, Saudi Arabia

[3] Qassim Univ, Dept Math, Coll Sci & Arts, Buraydah, Saudi Arabia

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2018年 / 19卷 / 12期

关键词：

Fixed point; multivalued contraction; omega-distance; EKELANDS VARIATIONAL PRINCIPLE; THEOREMS; MAPS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish some new results on the existence of fixed points for general mutivalued contractive mappings with respect to omega-distance. In support of our results, example and applications are also presented. Our results either improve or generalize results of metric fixed point theory, including the corresponding fixed point results of Nadler [23], Mizoguchi and Takahashi [22], Suzuki and Takahashi [27], Latif [17], Du and Hung [7] and many others.

引用

页码：2177 / 2188

页数：12

共 28 条

[1]

Alecsa CD, 2017, J NONLINEAR VAR ANAL, V1, P237

[2]

[Anonymous], 1990, Topics in metric fixed point theory

[3] FIXED-POINT THEOREMS FOR MAPPINGS SATISFYING INWARDNESS CONDITIONS [J].

CARISTI, J .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 215 (JAN) :241-251

[4] GENERALIZATION OF BANACHS CONTRACTION PRINCIPLE [J].

CIRIC, LB .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 45 (02) :267-273

[5] FIXED-POINTS OF GENERALIZED CONTRACTIVE MULTIVALUED MAPPINGS [J].

DAFFER, PZ ;

KANEKO, H .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 192 (02) :655-666

[6]

Du W.-S., 2016, LINEAR NONLINEAR ANA, V2, P199

[7]

Du W.-S., 2017, INT J MATH ANAL, V11, P151, DOI [10.12988/ijma.2017.713, DOI 10.12988/ijma.2017.713]

[8] On coincidence point and fixed point theorems for nonlinear multivalued maps [J].

Du, Wei-Shih .

TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (01) :49-56

[9]

Guran L, 2015, FIXED POINT THEOR-RO, V16, P327

[10] New fixed point results for contractive maps involving dominating auxiliary functions [J].

Hussain, Nawab ;

Latif, Abdul ;

Salimi, Peyman .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06) :4114-4126

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