FIXED POINT PROBLEMS IN METRIC SPACES AND ITS RELATED SPACES

We have been inspired by results of the papers Important tools and possible applications in metric fixed point theory Nonlinear Analysis 47(2001) 3479-3490 by P. P. Murthy A comparison of various definitions of contractive mappings Trans. Amer. Math. Soc. 226(1977) 257-290 and Contractive definitions revisited Topological methods in non-linear functional analysis Contemporary Math. A. M. S. 21(1983) 189-205 both by Billy E. Rhoades On nonlinear contractions Proc. Amer. Math. Soc. 20(1969) 458-468 by D. W. Boyd and J. S. W. Wong and A note on contractive mappings Proc. Amer. Math. Soc. 13(1962) 459-465 by E. Rakotch.We have presented some fixed points coincidence points and common fixed point theorems using different types of contractions which are weaker than Banach''s contraction condition in metric and its related spaces such as Partial Ordered Metric Spaces G-Metric Spaces Probabilistic Metric Spaces 2-Metric Spaces and Saks Spaces.