Generalized - Contractive Type Mappings and Related Fixed Point Theorems with Applications
By E. Karapınar, Bessem Samet. 2012
400 citations recorded by the source corpus.
We establish fixed point theorems for a new class of contractive mappings. As consequences of our main results, we obtain fixed point theorems on metric spaces endowed with a partial order and fixed point theorems for cyclic contractive mappings. Various examples are presented to illustrate our obtained results.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/f7790ad516ab036297d6259b102a94a47c9d83c2
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In Geometry and Topology
- E. Karapınar
- Inci M. Erhan
- Peyman Salimi
- Hassen Aydi
- Nawab Hussain
- Hamed H. Alsulami
- Areej Alharbi
- Marwan Amin Kutbi
Citations in the corpus
- On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory (2017, background): “Moreover, as is shown in [13, 16], several fixed point theorems in different settings (in the sense of partially ordered set, in the sense of cyclic mapping, etc.”
- EXISTENCE OF FIXED POINTS OF SET-VALUED MAPPINGS IN b-METRIC SPACES (2016, methodology): “This idea was extended by Karapınar and Samet in [17] by introducing the notion of generalized α − ψ-contractive type mappings.”
- Fixed Points for -Graphic Contractions with Application to Integral Equations (2013, neutral): “4 of [22].”
- Fixed Point Theory in -Complete Metric Spaces with Applications (2014, result): “[7]modified the notions ofα-ψ-contractive and α-admissible mappings and established fixed point theorems which are proper generalizations of the recent results in [12, 19].”
- New fixed point results for mappings of contractive type with an application to nonlinear fractional differential equations (2016, background): “Afterward, many authors studied and extended the concepts of α-ψcontractive and α-admissible mappings (see also [1, 8, 10, 11, 12, 13, 14, 15] and references therein).”
- Discussion on Contractions on Generalized Metric Spaces (2014, background): “Some interesting examples of such mappings were given in [14, 18].”