C-class functions and fixed point theorems for generalized α-η-ψ-φ-F-contraction type mappings in α-η-complete metric spaces

被引：10

作者：

Ansari, Arslan Hojat ^{[1
]}

Kaewcharoen, Anchalee ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Karaj Branch, Karaj 31485313, Iran

[2] Naresuan Univ, Fac Sci, Res Ctr Acad Excellence Math, Dept Math, Phitsanulok 65000, Thailand

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 06期

关键词：

alpha-eta-complete metric spaces; alpha-eta-continuous mappings; triangular alpha-orbital admissible mappings with respect to eta; C-class functions; generalized alpha-eta-psi-phi-F-contraction type mappings;

D O I：

10.22436/jnsa.009.06.60

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the concept of generalized alpha-eta-psi-phi-F-contraction type mappings where psi is the altering distance function and phi is the ultra altering distance function. The unique fixed point theorems for such mappings in the setting of alpha-eta-complete metric spaces are proven. We also assure the fixed point theorems in partially ordered metric spaces. Moreover, the solution of the integral equation is obtained using our main result. (C) 2016 All rights reserved.

引用

页码：4177 / 4190

页数：14

共 17 条

[1] Ansari A. H., 2014, P 2 REG C MATH APPL, P377, DOI DOI 10.2298/FIL1403635A
[2] Fixed point theorems on b-metric spaces for weak contractions with auxiliary functions
Ansari, Arslan Hojat
Chandok, Sumit
Ionescu, Cristiana
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[3] BANACH S., 1922, Fundam. Math., V3, P133, DOI DOI 10.4064/FM-3-1-133-181
[4] Chaipunya P., 2012, ADV DIFFERENCE EQU, V2012
[5] Cho S.-H., 2013, FIXED POINT THEORY A, V2013
[6] Fixed point theorems for generalized α-η-ψ-Geraghty contraction type mappings in α-η-complete metric spaces
Chuadchawna, Preeyaluk
Kaewcharoen, Anchalee
Plubtieng, Somyot
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (02): : 471 - 485
[7] CONTRACTIVE MAPPINGS
GERAGHTY, MA
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 40 (02) : 604 - 608
[8] Gordji M. E., 2012, FIXED POINT THEORY A, V2012
[9] Fixed Point Theory in α-Complete Metric Spaces with Applications
Hussain, N.
Kutbi, M. A.
Salimi, P.
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[10] Kadelburg Z., 2015, FIXED POINT THEORY A, V2015

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