# Fixed point results for generalized (α−η)−Θ contractions with applications

@article{Hussain2017FixedPR,
title={Fixed point results for generalized ($\alpha$−$\eta$)−$\Theta$ contractions with applications},
author={Nawab Hussain and Abdullah Eqal Al-Mazrooei and Jamshaid Ahmad},
journal={The Journal of Nonlinear Sciences and Applications},
year={2017},
volume={10},
pages={4197-4208}
}
• Published 2017
• Mathematics
• The Journal of Nonlinear Sciences and Applications
The aim of this paper is to define generalized (α-η)-Θ contraction and to extend the results of Jleli and Samet [M. Jleli, B. Samet, J. Inequal. Appl., 2014 (2014), 8 pages] by applying a simple condition on the function Θ. We also deduce certain fixed and periodic point results for orbitally continuous generalized Θ-contractions and certain fixed point results for integral inequalities are derived. Finally, we provide an example to show the significance of the investigation of this paper. c… Expand
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#### References

SHOWING 1-10 OF 24 REFERENCES
Fixed point results for generalized Θ-contractions
The aim of this paper is to extend the result of [M. Jleli, B. Samet, J. Inequal. Appl., 2014 (2014), 8 pages] by applying a simple condition on the function Θ. With this condition, we also proveExpand
NEW COMMON FIXED POINT THEOREMS FOR CYCLIC COMPATIBLE CONTRACTIONS
The aim of this paper is to introduce cyclic compatible Θ-contraction and establish some common fixed point theorems in the setting of a generating space of a b-quasi-metric family. We also apply aExpand
Modified α-ψ-contractive mappings with applications
• Mathematics
• 2013
The aim of this work is to modify the notions of α-admissible and α-ψ-contractive mappings and establish new fixed point theorems for such mappings in complete metric spaces. Presented theoremsExpand
Generalized fixed point theorems for multi-valued α-ψ-contractive mappings
• Mathematics
• 2014
The aim of this paper is to establish certain new fixed point results for multi-valued as well as single-valued maps satisfying an α-ψ-contractive conditions in complete metric space. As anExpand
COMMON FIXED POINT THEOREMS FOR JS- CONTRACTIONS
The aim of this article is to study JS-contractions and to establish some new common fixed point theorems for these contractions in the setup of complete metric spaces. Presented theorems areExpand
Krasnosel’skii-type fixed point theorems with applications to Volterra integral equations
• Mathematics
• 2013
In this paper we present some fixed point results for the sum S+T of two mappings where S is a strict contraction and T is not necessarily weakly compact and satisfies a new condition formulated inExpand
Coincidence point theorems for generalized contractions with application to integral equations
• Mathematics
• 2015
In this article, we introduce a new type of contraction and prove certain coincidence point theorems which generalize some known results in this area. As an application, we derive some new fixedExpand
Fixed point theorems for α–ψ-contractive type mappings
• Mathematics
• 2012
Abstract In this paper, we introduce a new concept of α – ψ -contractive type mappings and establish fixed point theorems for such mappings in complete metric spaces. Starting from the BanachExpand
General constructive fixed point theorems for Ćirić-type almost contractions in metric spaces
Existence and existence and uniqueness results for fixed points of single-valued Ćirić almost contractions as well as convergence theorems for Picard iteration to these fixed points are proved. TheExpand
Fixed point results for {α,ξ}-expansive locally contractive mappings
• Mathematics
• 2014
We recall the concepts of {α,ξ}-contractive and α-admissible mappings on complete metric spaces to state related fixed point theorems. In this paper, we obtain some fixed point results forExpand