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Implicit functions under fixed point consideration in Probabilistic Menger Spaces

Murthy P. P., Prasad K. N. V. V. V., Majumdar J.

Fasciculi Mathematici

2020

nr 63

45--61

In the present paper, we have introduced a pair of weakly-biased maps in the Probabilistic Menger Spaces under the implicit relation. Our results proved herein is the partial extension and mild improvement of the results due to Imdad, Tanveer and Hasan [10]. We have discussed an example in support of our main theorem.

Weak contraction mappings in Saks spaces

Murthy P. P., Tas K., Choudhary B S

Fasciculi Mathematici

2012

Nr 48

83--95

The intent of this note is to prove some fixed point and common fixed theorems in a Saks spaces by introducing a weaker inequality analogue to Albert and Delabriere [1]. We have also introduced a control functions which is certainly weaker contraction condition available in the literature of Metric Fixed Point Theory and Applications.

Common fixed point theorems for compatible maps of type (P) and kind of weakly commuting maps

Khan M. S., Samanipour M., Murthy P. P.

Fasciculi Mathematici

2010

Nr 43

53-67

In this article, the existence of a unique common fixed point of two families of compatible maps of type (P) on a complete metric space and a common fixed point theorem for four mappings on a metric space are proved. These theorems are an improvement over the theorems generalizes Banach Fixed Point Theorems [1], Kannan Fixed Point Theorem [12], Edelstein Fixed Point Theorem [6], Boyd and Wong's Fixed Point Theorem [2], Ćirić's Fixed Point Theorems [3], Das and Naik's [5].