EXISTENCE OF PICARD-JUNGCK OPERATOR USING C_G-SIMULATION FUNCTIONS IN GENERALIZED METRIC SPACES

다국어 초록 (Multilingual Abstract)

In this manuscript, we provide some new results with short proofs for the existence of Picard-Jungck operators in the framework of generalized metric spaces using C_G-simulation functions. An example is also provided to illustrate the usability of the results.

참고문헌 (Reference)

1 S. Banach, "Sur les operations dans les ensembles abstraits et leur application aux equations integrales" 3 : 133-181, 1922

2 S. Radenovic, "Some results on weakly contrac-tive maps" 38 : 625-645, 2012

3 S. Wang, "Some fixed point results for non-decreasing and mixed monotone mappings with auxiliary functions" 209 : 2015

4 S. Alizadeh, "Some fixed point results for (α,β)- (ψ,Φ)-contractive mappings" 28 : 635-647, 2014

5 S. Radenovic, "Simulation type functions and coincidence points" 32 : 141-147, 2018

6 X. L. Liu, "On some results in metric spaces using auxiliary simulation functions via new functions" 24 : 1103-1114, 2018

7 A.-F.R.-L.-de-Hierro, "New fixed point theorem under R-contractions" 98 : 2015

8 A. Latif, "Fixed points and functional equation problems via cyclic admissible generalized contractive type mappings" 9 : 1129-1142, 2016

9 A. Nastasi, "Fixed point results on metric and partial metric spaces via simulation functions" 8 : 1059-1069, 2015

10 Huseyin Isik, "Fixed Point Theorems for Almost Z-Contractions with an Application" MDPI AG 6 (6): 37-, 2018

11 A.H. Ansari, "Coupled fixed point theorems for contractive map-pings involving new function classes and applications" 31 : 1893-1907, 2017

12 G. Jungck, "Commuting maps and fixed points" 83 : 261-263, 1976

13 A.-F.R.-L.-de-Hierro, "Common fixed point theorems under (R,S)-contractivity conditions" 55 : 2016

14 M. Abbas, "Common fixed point results for non-commuting mappings without continuity in cone metric spaces" 341 : 416-420, 2008

15 A.-F.R.-L.-de-Hierro, "Coincidence point theorems on metric spaces via simulation functions" 275 : 345-355, 2015

16 M. Olgun, "A new aspect to Picard operators with simulation functions" 40 : 832-837, 2016

17 F. Khojasteh, "A new approach to the study of fixed point theorems via simulation functions" 29 : 1189-1194, 2015

18 A. Branciari, "A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces" 57 : 31-37, 2000