Existence of Fixed Points of a Pair of Self Maps under Weak Generalized Geraghty Contractions in Complete Partially Ordered Partial B-Metric Spaces

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Vedula Perraju
Vedula Perraju
α Andhra University Andhra University

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Existence of Fixed Points of a Pair of Self Maps under Weak Generalized Geraghty Contractions in Complete Partially Ordered Partial B-Metric Spaces

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References

39 Cites in Article
  1. M Abbas,Radenovic Nazir (2011). Fixed points of four maps in partially ordered metric spaces.
  2. R Agarwal,. El-Gebeily,D Oregan (2008). Generalized contractions in partially ordered metric spaces.
  3. J Asl,S Rezapour,N Shahzad (2012). On fixed points of α-ψ-contractive multifunctions.
  4. Hassen Aydi,Monica-Felicia Bota,Erdal Karapınar,Slobodanka Mitrović (2012). A fixed point theorem for set-valued quasi-contractions in b-metric spaces.
  5. G Babu,P Sailaja,K Kidane (2011). A Fixed Point Theorem in Orbitally Complete Partially Ordered Metric Spaces.
  6. G V R Babu,Krishna Sarma (2015). Necessary and sufficient conditions for the existence of fixed points of weak generalized geraghty contractions international journal of mathematics and scientific computing.
  7. G V R Babu,Subhashini (2013). P: generalization of fixed point results of contractive maps by altering distances.
  8. I Bakhtin (1989). A: The Contraction Principle in quasimetric spaces, It.
  9. S Banach (1922). Sur les operations dans les ensembles abstraits et leur application oux equations integrals.
  10. Ismat Beg,Asma Butt (2009). Fixed point for set-valued mappings satisfying an implicit relation in partially ordered metric spaces.
  11. Stefan Czerwik (1998). Multi-valued contraction mappings in metric spaces.
  12. B S Choudhury,Kundu (2010). A: A coupled coincidence point result in partially ordered metric spaces for compatible mappings.
  13. S H Cho,J S Bae,Karapinar (2013). E: Fixed point theorems forα-Geraghty contraction type maps in metric spaces.
  14. Jalal Hassanzadeasl (2013). Common Fixed point theorems for α-φ cnotractivetype mappings.
  15. Anchalee Kaewcharoen,Tadchai Yuying (2014). Unique common fixed point theorems on partial metric spaces.
  16. Erdal Karapınar,Ravi Agarwal (2013). A note on ‘Coupled fixed point theorems for α-ψ-contractive-type mappings in partially ordered metric spaces’.
  17. Erdal Karapınar,Bessem Samet (2012). Generalized α‐ψ Contractive Type Mappings and Related Fixed Point Theorems with Applications.
  18. Erdal Karapınar,Poom Kumam,Peyman Salimi (1994). On α-ψ-Meir-Keeler contractive mappings.
  19. Dung Kumam (2013). Some equivalences between cone b-metric spaces and b-metric spaces.
  20. S Matthews (1994). Partial Metric Topology.
  21. K Mehmet,H Kiziltunc (2013). On Some Well Known Fixed Point Theorems in b-metric Spaces.
  22. Mohammad Mursaleen,Syed Mohiuddine,Ravi Agarwal (2012). Coupled fixed point theorems for α-ψ-contractive type mappings in partially ordered metric spaces.
  23. Mukheimer (2014). A:α-ϕ-ψ Contractive mappings in ordered partial b -metric spaces.
  24. Zead Mustafa,Jamal Roshan,Vahid Parvaneh,Zoran Kadelburg (2009). Some common fixed point results in ordered partial b-metric spaces.
  25. Hemantkumar Nashine,Ishak Altun (2011). Fixed Point Theorems for Generalized Weakly Contractive Condition in Ordered Metric Spaces.
  26. Altun Nashine (2012). I: A common Fixed point theorem on ordered metric spaces.
  27. H Nashine,M Imdad,M Hasan (2014). Common fixed point theorems under rational contractions in complex valued metric spaces.
  28. S O ´ Neill (1996). Partial metrics, valuations and domain theory.
  29. Bessem Samet,Calogero Vetro,Pasquale Vetro (2004). Fixed point theorems for -contractive type mappings.
  30. K P R Sastry,K K M Sarma,Srinivasarao,Vedula Ch,Perraju (2015). Coupled Fixed point theorems for αψ contractive type mappings in partially ordered partial metric spaces.
  31. K P R Sastry,K K M Sarma,Srinivasarao,Ch,Vedula (2015). Perraju: α-ψ-φ contractive mappings in complete partially ordered partial b-metric spaces.
  32. K P R Sastry,K K M Sarma,Srinivasarao,Vedula Ch,Perraju (2015). Sufficient Conditions for the Existence of Fixed Points of Weak Generalized Geraghty contractions in complete ordered metric spaces.
  33. K P R Sastry,K K M Sarma,Srinivasarao,Ch,Vedula (2012). Fixed point theorems for weak S-contractions in partially ordered 2-metric spaces.
  34. Wasfi Shatanawi,Bessem Samet,Mujahid Abbas (2012). Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces.
  35. S Shukla (2002). Partial b-metric spaces and fixed point theorems.
  36. Chamola Singh (2002). B: Quasi-contractions and approximate fixed points.
  37. Calogero Vetro,Francesca Vetro (2013). Common fixed points of mappings satisfying implicit relations in partial metric spaces.
  38. Xian Zhang (2007). Common fixed point theorems for some new generalized contractive type mappings.
  39. Hatairat Yingtaweesittikul (2013). Suzuki type fixed point theorems for generalized multi-valued mappings in b-metric spaces.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Vedula Perraju. 2016. \u201cExistence of Fixed Points of a Pair of Self Maps under Weak Generalized Geraghty Contractions in Complete Partially Ordered Partial B-Metric Spaces\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 16 (GJSFR Volume 16 Issue F2): .

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Issue Cover
GJSFR Volume 16 Issue F2
Pg. 89- 111
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 30L05
Version of record

v1.2

Issue date

April 14, 2016

Language
en
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Existence of Fixed Points of a Pair of Self Maps under Weak Generalized Geraghty Contractions in Complete Partially Ordered Partial B-Metric Spaces

Vedula Perraju
Vedula Perraju Andhra University

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