Coupled coincidence best proximity point results for generalized Ciric contractions
Source abstract
Abstract
In this paper, we define a generalized Ćiric contraction with respect to ℸ and prove some coupled coincidence best proximity point results in the setting of complete metric spaces. We also obtain some coupled best proximity point results for such contractions. We provide an example for the validity of our main result. Our results are the generalization of many results existing in the literature. As an application, we find the solution of the differential equation.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Fixed Point Theorems Analysis · Advanced Differential Geometry Research
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mathematics, King Abdulaziz University 1 , P.O. Box 80203, Jeddah 21589, Saudi Arabia
Department of Mathematics, The Islamia University Bahawalpur, Rahim Yar Khan Campus 2 , Rahim Yar Khan 64200, Pakistan
References (42)
Show source-provided references
1. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales10.4064/fm-3-1-133-181 ↗
2. 2011
3. A fixed point iterative algorithm for solving equations modeling the multi-stage flash desalination process10.1016/s0045-7825(96)01095-x ↗
4. Fixed point theory and structural optimization10.1080/03052159108941074 ↗
5. Fixed point theorem for α − ψ contractive type mappings10.1016/j.na.2011.10.014 ↗
6. Fixed point theory in α-complete metric spaces with applications10.1155/2014/280817 ↗
7. Discussions on recent results for α-ψ contractive mappings10.1155/2014/456482 ↗
8. Modified α-ψ contractive mappings with applications10.1186/1687-1812-2013-151 ↗
9. A new generalization of the Banach contraction principle10.1186/1029-242X-2014-38 ↗
10. Fixed point results for generalized Θ-contractions10.22436/jnsa.010.05.07 ↗
11. New fixed point theorems for α-HΘ-contractions in ordered metric spaces10.1007/s11784-016-0330-z ↗
12. Extensions of two fixed point theorems of F. E. Browder10.1007/bf01110225 ↗
13. Fixed-point theorems for set-valued mappings and existence of best approximants10.1080/01630568308816149 ↗
14. Approximate selections, best approximations, fixed points, and invariant sets10.1016/0022-247x(78)90222-6 ↗
15. A generalization to multifunctions of Fan’s best approximation theorem10.1090/s0002-9939-1988-0928974-5 ↗
16. A theorem on best approximations10.1080/01630568908816298 ↗
17. Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces10.1016/j.na.2008.04.037 ↗
18. Erratum to: ‘Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces’ [Nonlinear Anal. (2008), doi: 10.1016/j.na.2008.04.037]10.1016/j.na.2008.11.020 ↗
19. Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces10.1016/j.na.2009.07.024 ↗
20. Some extensions of Fan’s best approximation theorem10.1080/01630569208816486 ↗
21. Existence and convergence of best proximity points10.1016/j.jmaa.2005.10.081 ↗
22. Best proximity point theorems for generalized cyclic contractions in ordered metric spaces10.1007/s10957-012-9991-y ↗
23. Best proximity point theorems generalizing the contraction principal10.1016/j.na.2011.04.017 ↗
24. Best approximations and best proximity pairs
25. Best proximity pair theorems for multifunctions with open fibres10.1006/jath.1999.3415 ↗
26. Best proximity pair theorems
27. The existence of best proximity points in metric spaces with the property UC10.1016/j.na.2009.01.173 ↗
28. Coupled best proximity point theorem in metric spaces10.1186/1687-1812-2012-93 ↗
29. V. Zhelinski and B.Zlatanov, “On the UC and UC* properties and the existence of best proximity points in metric spaces,” arXiv:2303.05850 (2023).10.60063/gsu.fmi.109.121-146 ↗
30. Coupled best proximity points for cyclic contractive maps and their applications10.24193/fpt-ro.2021.1.29 ↗
31. Coincidence best proximity point theorems for proximal Berinde g-cyclic contractions in metric spaces10.1186/s13660-021-02547-5 ↗
32. On some coincidence best proximity point results10.1155/2021/8005469 ↗
33. A discussion on the coincidence quasi-best proximity points10.2298/fil2106107f ↗
34. Coupled coincidence best proximity point results involving simulation functions
35. Best proximity point results for generalized Θ-contractions and application to matrix equations10.3390/sym11010093 ↗
36. Proximinal retracts and best proximity pair theorems10.1081/nfa-120026380 ↗
37. A note on ‘A best proximity point theorem for Geraghty-contractions’10.1186/1687-1812-2013-99 ↗
38. On coupled best proximity points in reflexive Banach spaces10.3390/math10081304 ↗
39. Existence, uniqueness and stability of market equilibrium in oligopoly markets10.3390/admsci10030070 ↗
40. Global optimal solutions for proximal fuzzy contractions10.1016/j.physa.2019.123925 ↗
41. Existence of fixed points for Θ-type contraction and Θ-type Suzuki contraction in complete metric spaces10.1186/s13663-016-0496-5 ↗
42. The existence of best proximity points with the weak P-property10.1186/1687-1812-2013-259 ↗