Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces

By Kazimierz Wlodarczyk, Robert Plebaniak, Cezary Obczynski. 2010

102 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/99090169df279433f9d90a4d6177db8e17e45ada

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Poom Kumam
2. Wutiphol Sintunavarat
3. Yeol Je Cho
4. Naseer Shahzad
5. E. Karapınar
6. S. Sadiq Basha
7. Jong Kyu Kim
8. Nawab Hussain

In Geometry and Topology

1. Poom Kumam
2. Wutiphol Sintunavarat
3. Yeol Je Cho
4. E. Karapınar
5. Naseer Shahzad
6. Animesh Gupta
7. S. Sadiq Basha
8. Inci M. Erhan

Citations in the corpus

• Coupled best proximity point theorem in metric Spaces (2012, unknown): “Afterward, many authors have derived extensions of Fan’s Theorem and the best approximation theorem in many directions such as Prolla [17], Reich [18], Sehgal and Singh [19,20], Wlodarczyk and Plebaniak [21-24], Vetrivel et al.”
• Coupled Best Proximity Point Theorem in Metric Spaces (2013, background): “Following this initial paper, a number of authors have derived extensions of Fan’s Theorem and best approximation theorem in many directions such as Prolla [27], Sehgal and Singh [28, 29], Wlodarczyk and Plebaniak [36, 37, 38, 39], Vetrivel et al. [35], Eldred and Veramani [12], Mongkolkeha and Kuma”
• Best proximity point theorems for generalized proximal contractions (2012, background): “Also, best proximity point theorems for various kinds of multi-valued mappings have been accomplished in [21-31].”