Extended Φ-contraction mappings

Banach, S. 1922. Sur les operations dans les ensembles abstraits et leur application aux equations integrals. Fundamenta Mathematicae 3: 133–181.

Bisht, R.K., and R.P. Pant. 2017. A remark on discontinuity at fixed point. Journal of Mathematical Analysis and Applications 445-2: 1239–1242.

Bisht, R.K., and V. Rakocevic. 2018. Generalized Meir–Keeler type contractions and discontinuity at fixed point. Fixed Point Theory 19(1): 57–64.

Boyd, D.W., and J.S. Wong. 1969. On nonlinear contractions. Proceedings of the American Mathematical Society 20: 458–464.

Celik, U., and N. Ozgur. 2020. A new solution to the discontinuity problem on metric spaces. Turkish Journal of Mathematics 44(4): 1115–1126.

Devaney, R.L. 1986. An introduction to chaotic dynamical systems. California: Benjamin/Cummings Publishing Co.

Holmgren, R.A. 1994. A first course in discrete dynamical systems. New York: Springer.

Hussain, A., H. Al-Sulami, N. Hussain, and H. Farooq. 2020. Newly fixed disc results using advanced contractions on F-metric space. Journal of Applied Analysis and Computation 10(6): 2313–2322.

Jachymski, J. 1994. Common fixed point theorems for some families of maps. Indian Journal of Pure and Applied Mathematics 25-9: 925–937.

Matkowski, J. 1975. Integral solutions of functional equations. Dissertationes Mathematicae 127: 1–68.

Nica, Octavia. 2012. Existence results for second order three-point boundary value problems. Differential Equations and Applications 4-4: 547–570.

Ozgur, N.Y., and N. Tas. 2019. Some fixed-circle theorems on metric spaces. Bulletin of the Malaysian Mathematical Sciences Society 42(4): 1433–1449.

Pant, R.P. 1994. Common fixed points of noncommuting mappings. Journal of Mathematical Analysis and Applications 188-2: 436–440.

Pant, R.P. 1998. Common fixed point theorems for contractive maps. Journal of Mathematical Analysis and Applications 226: 251–258.

Pant, R.P. 1999. Discontinuity and fixed points. Journal of Mathematical Analysis and Applications 240: 284–289.

Pant, R.P. 1999. A common fixed point theorem under a new condition. Indian Journal of Pure and Applied Mathematics 30-2: 147–152.

Pant, R.P. 2000. Noncompatible mappings and common fixed points. Soochow Journal of Mathematics 26(1): 29–35.

Pant, R.P. 2001. A new common fixed point principle. Soochow Journal of Mathematics 27-3: 287–297.

Pant, V. 2002. Remarks on discontinuity at fixed points. The Journal of the Indian Mathematical Society 69(1–4): 173–175.

Pant, A., and R.P. Pant. 2017. Fixed points and continuity of contractive maps. Filomat 31(11): 3501–3506.

Pant, A., R.P. Pant, and M.C. Joshi. 2019. Caristi type and Meir–Keeler type fixed point theorems. Filomat 33-12: 3711–3721.

Pant, R.P., N.Y. Özgür, and N. Tas. 2019. Discontinuity at fixed points with applications. Bulletin of the Belgian Mathematical Society-Simon Stevin 26-4: 571–589.

Pant, R.P., N.Y. Özgür, and N. Tas. 2020. On discontinuity problem at fixed point. Bulletin of the Malaysian Mathematical Sciences Society 43: 499–517.

Pant, R.P., N. Ozgur, N. Tas, A. Pant, and M.C. Joshi. 2020. New results on discontinuity at fixed points. Journal of Fixed Point Theory and Applications 22: 1–14.

Pasicki, L. 2016. Boyd and Wong idea extended. Fixed Point Theory and Applications 2016: 63.

Reich, S. 1972. Fixed points of contractive functions. Bollettino della Unione Matematica Italiana 5: 26–42.

Rhoades, B.E. 1988. Contractive definitions and continuity. Contemporary Mathematics (Amer. Math. Soc.) 72: 233–245.

Zheng, D., and P. Wang. 2017. Weak θ-φ-contractions and discontinuity. The Journal of Nonlinear Sciences and Applications 10: 2318–2323.